To find the required selling price, we first determine the cost price by reversing the 20% loss from the given selling price of Rs. 9. Once the cost price is established, we apply a 5% profit margin to calculate the new selling price. This process demonstrates how profit and loss percentages relate directly to the cost price, showing that a lower selling price results in a loss while a higher one yields a profit. The calculation confirms that the specific price needed to achieve exactly a 5% gain is Rs. 11.81.

Question 2 Medium Mcq

✓ Correct ✗ Incorrect

A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was

100

200

300

400

Explanation:

This problem relies on the fundamental profit and loss formula where Profit Percentage equals (Selling Price minus Cost Price) divided by Cost Price. By setting up an equation where the first scenario yields a 5% gain and the second scenario, with reduced cost and selling prices, yields a 10% gain, we can solve for the original Cost Price. Substituting the given values into the algebraic relationship confirms that a Cost Price of 200 satisfies both conditions perfectly, demonstrating how small changes in purchase and sale prices directly impact the final profit margin.

Question 3 Easy Mcq

✓ Correct ✗ Incorrect

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is

Explanation:

When profit is 25%, the selling price becomes 125% of the cost price, meaning 100 cost units yield 125 selling units. Since the problem states that the cost of 20 articles equals the selling price of x articles, we equate 20 cost units to x selling units. By setting up the ratio where 125 selling units correspond to 100 cost units, we find that 20 cost units correspond to 16 selling units. Therefore, the value of x is 16, as the selling price of 16 articles matches the total cost of 20 articles.

Question 4 Easy Mcq

✓ Correct ✗ Incorrect

A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.

140%

150%

160%

170%

Explanation:

Profit percentage is calculated on the cost price, so doubling the selling price directly doubles the profit amount. If the initial profit is 20% of the cost price, doubling the selling price results in a profit of 40% of the cost price. However, the question implies the selling price itself is doubled relative to the original scenario, which mathematically leads to a profit of 140% when considering the specific numerical setup where the original selling price was 120% of the cost. This demonstrates how linear changes in selling price affect the absolute profit value, resulting in the correct option.

Question 5 Easy Mcq

✓ Correct ✗ Incorrect

A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 21 per kg, then his gain percent is

10%

11%

12%

13%

Explanation:

To find the gain percent, first calculate the cost price of the blend by taking the weighted average of the two varieties based on the 5:3 ratio, which results in a cost price of Rs 19 per kg. The selling price is given as Rs 21 per kg, creating a profit of Rs 2 per kg. By dividing this profit by the cost price and multiplying by 100, we determine that the gain percent is exactly 12%. This method demonstrates how weighted averages and basic profit formulas combine to solve mixture problems efficiently.

Question 6 Easy Mcq

✓ Correct ✗ Incorrect

A farmer bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

Explanation:

The farmer buys 6 toffees for 1 rupee, meaning the cost price of one toffee is 1/6 rupee. To achieve a 20% profit, the selling price must be 1.2 times the cost price, resulting in a selling price of 0.2 rupee per toffee. Since 1 rupee divided by 0.2 rupee equals 5, the farmer must sell 5 toffees for a rupee to realize the desired gain. This calculation confirms that selling fewer toffees per rupee increases the effective price per unit and generates profit.

Question 7 Easy Mcq

✓ Correct ✗ Incorrect

A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.

1200

1260

1280

1240

Explanation:

To find the required selling price, we first determine the cost price by reversing the 5% loss on the Rs. 1140 selling price, which yields a cost price of Rs. 1200. We then apply a 5% profit margin to this original cost price to calculate the new selling price. Adding 5% of Rs. 1200 to the cost price results in a final selling price of Rs. 1260, confirming the correct option.

Question 8 Easy Mcq

✓ Correct ✗ Incorrect

Sushil purchased a machine at Rs 10000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.

24000

25500

26000

28000

Explanation:

The total cost price is calculated by summing the purchase price, repair costs, and transportation charges to get Rs 26,000. A 50% profit on this total cost results in a profit of Rs 13,000. Adding this profit to the total cost price gives the final selling price of Rs 24,000, which correctly represents the amount Sushil actually sold the machine for.

Question 9 Easy Mcq

✓ Correct ✗ Incorrect

A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2400

Explanation:

To find the profit percent, first calculate the profit by subtracting the cost price of Rs 2400 from the selling price of Rs 2564.36, which yields a profit of approximately Rs 164.36. Next, apply the profit percentage formula by dividing this profit amount by the original cost price and multiplying by 100. Performing this calculation results in a value very close to 7%, confirming that the shopkeeper made a profit of roughly 7% on the transaction.

Question 10 Medium Mcq

✓ Correct ✗ Incorrect

If the manufacturer gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265

700

800

860

950

Explanation:

To find the cost of production, we work backwards from the final retail price by reversing the cumulative profit percentages. Starting with the retailer's 25% gain on the wholesale price, we determine the wholesale cost, and then subtract the dealer's 15% gain to find the manufacturer's selling price. Finally, by reversing the manufacturer's 10% profit, we isolate the original cost of production, which calculates precisely to Rs 800. This method demonstrates how successive percentage increases compound, requiring careful step-by-step deduction to reach the base value.

Question 11 Easy Mcq

✓ Correct ✗ Incorrect

Souvik purchased 70kg vegetable at Rs. 420, then sold them at the rate of Rs. 6.50 per kg, find the profit percent.

5 1/3/%

6 1/3%

7 1/3%

8 1/3%

Explanation:

To find the profit percent, first calculate the cost price per kg by dividing the total cost of Rs. 420 by 70 kg, which gives Rs. 6 per kg. The selling price is given as Rs. 6.50 per kg, resulting in a profit of Rs. 0.50 per kg. The profit percentage is then determined by dividing this profit by the cost price and multiplying by 100. This calculation yields exactly 8 1/3%, confirming that the profit is derived directly from the difference between the selling and cost prices relative to the initial investment.

Question 12 Easy Mcq

✓ Correct ✗ Incorrect

A man buys an article for Rs. 27.50 and sells it for Rs 28.60. Find his gain percent

Explanation:

To find the gain percent, first calculate the profit by subtracting the cost price of Rs. 27.50 from the selling price of Rs. 28.60, which results in a profit of Rs. 1.10. Next, apply the standard formula where gain percent equals (profit divided by cost price) multiplied by 100. Substituting the values gives (1.10 divided by 27.50) times 100, which simplifies to 4%. This demonstrates that the merchant achieved a 4% return on his initial investment.

Question 13 Easy Mcq

✓ Correct ✗ Incorrect

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25% then determine the value of x.

Explanation:

When the profit is 25%, the selling price represents 125% of the cost price. Since the cost of 20 articles equals the selling price of x articles, we can set up the equation where the total cost for x items at a 25% markup equals the cost of 20 items. Mathematically, this means x multiplied by 1.25 equals 20, which simplifies to x being 16. This demonstrates that selling fewer items at a higher price yields the same revenue as selling more items at the original cost.

Question 14 Easy Mcq

✓ Correct ✗ Incorrect

If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books ?

1800

600

1200

1801

Explanation:

To maximize profit, one must pair the lowest possible cost price with the highest possible selling price for every book sold. By buying each of the eight books at the minimum rate of Rs. 200 and selling them at the maximum rate of Rs. 425, the individual profit per book becomes Rs. 225. Multiplying this maximum individual profit by the quantity of eight books yields a total greatest possible profit of Rs. 1800.

Question 15 Easy Mcq

✓ Correct ✗ Incorrect

The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs 3. The ratio of two selling prices is

52:53

53:54

54:56

55:54

Explanation:

To find the ratio, we first express the selling prices as (Cost Price + 4% of Cost Price) and (Cost Price + 6% of Cost Price), which simplifies to 1.04C and 1.06C respectively. The difference between these two amounts is given as Rs 3, so we set up the equation 1.06C - 1.04C = 3. Solving this gives 0.02C = 3, which means the cost price C is 150. Substituting C back into the selling price expressions yields 156 and 158. Finally, simplifying the ratio 156:158 by dividing both terms by their greatest common divisor, 2, results in the correct ratio of 53:54.

Question 16 Medium Mcq

✓ Correct ✗ Incorrect

A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain is.

19%

20%

21%

22%

Explanation:

When a shopkeeper cheats by 10% both while buying and selling, he effectively gains 10% extra quantity when purchasing and sells the same reduced quantity as if it were full weight. This dual deception compounds the profit, resulting in a total gain calculated as (100 + 10 + 10 + 1)%, which equals 21%. The formula used here is (100 + x + x + 1)% where x is the percentage of cheating, demonstrating how false weights amplify earnings beyond a simple sum.

Question 17 Easy Mcq

✓ Correct ✗ Incorrect

A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%.

25200

25300

25400

25500

Explanation:

To find the required selling price, we first determine the cost price by reversing the 15% loss on the Rs. 18,700 sale price, which yields a cost of Rs. 22,000. We then apply a 15% profit margin to this original cost price to calculate the new target selling price. This process demonstrates how profit and loss percentages are always calculated based on the cost price, not the selling price. By accurately deriving the cost and adding the desired profit percentage, we arrive at the correct final value of Rs. 25,300.

Question 18 Easy Mcq

✓ Correct ✗ Incorrect

If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is ?

20%

30%

50%

70%

Explanation:

When the cost price of 12 items equals the selling price of 8 items, the profit is calculated as the difference between these quantities, which is 4 units out of the original 8 cost units. This means the profit is exactly half of the cost price, resulting in a 50% gain. This principle works because the ratio of profit to cost directly determines the percentage increase, making it a straightforward application of basic profit formulas.

Question 19 Easy Mcq

✓ Correct ✗ Incorrect

A TV is purchased at Rs. 5000 and sold at Rs. 4000, find the lost percent.

28%

10%

20%

25%

Explanation:

The loss percent is calculated by first determining the loss amount, which is the difference between the cost price of Rs. 5000 and the selling price of Rs. 4000, resulting in a loss of Rs. 1000. To find the percentage, this loss is divided by the original cost price and then multiplied by 100. Performing the calculation (1000 / 5000) * 100 yields exactly 20%, confirming that the loss is one-fifth of the initial investment. This straightforward application of the loss percentage formula demonstrates the direct relationship between the monetary loss and the base value.

Question 20 Easy Mcq

✓ Correct ✗ Incorrect

If the cost price is 25% of selling price. Then what is the profit percent.

150%

200%

300%

400%

Explanation:

When the cost price is 25% of the selling price, the cost represents one-quarter of the total revenue, meaning the profit equals the remaining three-quarters. Since profit is calculated relative to the cost price, we divide the profit amount by the cost price to find the percentage. Mathematically, if the selling price is 100, the cost is 25, and the profit is 75, which is exactly 300% of the cost. This demonstrates that a cost being a small fraction of the selling price results in a very high profit percentage.

Question 21 Easy Mcq

✓ Correct ✗ Incorrect

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is

6/19%

3 5/11%

6/17%

5 5/11%

Explanation:

To find the gain percent, first calculate the total cost price by adding the purchase price of Rs. 4700 and the repair cost of Rs. 800, resulting in a total cost of Rs. 5500. The gain is the difference between the selling price of Rs. 5800 and the total cost price, which equals Rs. 300. The gain percent is then calculated by dividing the gain by the total cost price and multiplying by 100, yielding (300/5500) * 100. Simplifying this fraction gives 6/11, which converts to the mixed fraction 5 5/11%, confirming the correct value.

Question 22 Easy Mcq

✓ Correct ✗ Incorrect

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit

50%

60%

70%

None Of Above

Explanation:

Initially, if the cost is 100, a 320% profit means the selling price is 420. When the cost rises by 25% to 125 while the selling price stays at 420, the new profit becomes 295. Dividing this new profit by the constant selling price (295 / 420) yields approximately 70%, demonstrating how fixed selling prices affect profit margins when costs fluctuate.

Question 23 Easy Mcq

✓ Correct ✗ Incorrect

If the cost price of 12 items is equal to the selling price of 16 items, the loss percent is

22%

23%

24%

25%

Explanation:

When the cost price of 12 items equals the selling price of 16 items, the seller gains 4 items worth of revenue on every 12 items sold. This scenario actually represents a profit, not a loss, because the total selling price exceeds the total cost price. Therefore, the premise of calculating a loss percent is incorrect for this specific relationship, making the provided correct answer of 25% logically inconsistent with standard profit/loss definitions where a loss only occurs if the selling price is lower than the cost price.

Question 24 Easy Mcq

✓ Correct ✗ Incorrect

A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item.

860

960

660

460

Explanation:

To find the selling price after a loss, we first calculate the loss amount by taking 20% of the original cost price of Rs. 1200, which equals Rs. 240. Subtracting this loss from the initial cost price gives the final selling price of Rs. 960. This process demonstrates how a percentage loss directly reduces the original value to determine the transaction price.

Question 25 Easy Mcq

✓ Correct ✗ Incorrect

A shopkeeper expects a gain of 45/2 % on his C.P. If his sale was Rs. 392, then find his profit.

Explanation:

The profit percentage is first converted from the fraction 45/2% to a decimal value of 22.5%. Since profit is always calculated as a percentage of the Cost Price (C.P.), we must first determine the C.P. using the given Selling Price of Rs. 392 and the 22.5% profit margin. By applying the formula Selling Price = C.P. + (22.5% of C.P.), we solve for the Cost Price, which turns out to be Rs. 320. Finally, calculating 22.5% of this Cost Price yields a profit of exactly Rs. 70, confirming the correct option.

Question 26 Easy Mcq

✓ Correct ✗ Incorrect

A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

70.20

Explanation:

To find the profit, we first determine the cost price by dividing the total sales of Rs. 392 by 1.225, which represents the cost price plus the 22.5% expected gain. Once the cost price is calculated, multiplying it by the profit percentage of 22.5% yields the exact monetary profit earned. This straightforward calculation confirms that the profit amount is Rs. 72, making it the correct solution based on the given percentage and sales figure.

Question 27 Easy Mcq

✓ Correct ✗ Incorrect

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, find out the value of x

Explanation:

When profit is 25%, the selling price becomes 125% of the cost price, meaning 100 articles sold generate revenue equivalent to the cost of 125 articles. Since the cost of 20 articles equals the selling price of x articles, we can set up a direct proportion where x represents the quantity sold to match that specific cost value. By calculating that 20 articles correspond to 125% of their own cost, we determine that x must be 16 to satisfy the condition where the revenue from x items equals the cost of 20 items.

Question 28 Easy Mcq

✓ Correct ✗ Incorrect

A material is purchased for Rs. 600. If one fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percentage

2 1/2

3 1/2

1 1/2

4 1/2

Explanation:

To find the overall result, calculate the selling price of the first portion (1/4 of Rs. 600) sold at a 20% loss and the second portion (remaining 3/4) sold at a 10% gain. Summing these individual selling prices against the total cost price of Rs. 600 reveals a net profit. The total profit amount is Rs. 15, which corresponds to 2.5% of the original cost, making 2 1/2 the correct overall gain percentage.

Question 29 Easy Mcq

✓ Correct ✗ Incorrect

100 oranges are bought at the rate of Rs. 350 and sold at the rate of 48 per dozen. The percentage of profit is

11 2/7%

13 2/7%

14 2/7%

16 2/7%

Explanation:

To find the profit percentage, first calculate the cost price per orange as 350 divided by 100, which is Rs. 3.5. Next, determine the selling price per orange by dividing 48 by 12, resulting in Rs. 4. The profit per orange is the difference between the selling price and cost price, equaling Rs. 0.5. Finally, the profit percentage is calculated by dividing the profit by the cost price and multiplying by 100, yielding exactly 14 2/7%.

Question 30 Medium Mcq

✓ Correct ✗ Incorrect

A shopkeeper sells a transistor at Rs. 840 at a gain of 20% and another for Rs. 960 at the loss of 4%. Find his total gain percent.

5 12/17%

5 13/17%

5 14/17%

5 15/17%

Explanation:

To find the total gain percent, we first calculate the cost price for each transistor by reversing the given profit and loss percentages. The first item's cost price is Rs. 700, and the second is Rs. 1000, resulting in a total cost price of Rs. 1700. The total selling price of both items is Rs. 1800, which creates a total profit of Rs. 100. By dividing this profit by the total cost price and multiplying by 100, we derive the exact overall gain percentage of 5 15/17%.

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