Question 1

Ajay incurred loss of 20% by selling a vase for Rs. 2880. To get a profit of 20% at what price should he sell the vase?

Accepted Answer

The cost price of the vase can be calculated by reversing the loss percentage. If selling at Rs. 2880 incurs a 20% loss, the cost price (CP) is Rs. 2880 / (1 - 0.20) = Rs. 3600. To achieve a 20% profit, the selling price should be CP * (1 + profit%) = Rs. 3600 * 1.20 = Rs. 4320.

Question 2

A sold a car to B at a profit of 25%. B incurred loss of 15% while selling the same car to C. A spent Rs. 50000 for this car. At what price did C buy it?

Accepted Answer

A sold the car to B at a 25% profit, so B bought it for Rs. 50,000 * 1.25 = Rs. 62,500. B then sold it to C at a 15% loss, so C bought it for Rs. 62,500 * 0.85 = Rs. 53,125.

Question 3

hat will be selling price, if cost price is Rs. 120 and gain is 35%?

Accepted Answer

The selling price is calculated by adding the gain to the cost price. Gain is 35% of Rs. 120, which is Rs. 42. Therefore, the selling price is Rs. 120 + Rs. 42 = Rs. 162.

Question 4

A and B enter into a partnership with respective capitals of Rs. 20,000 and Rs. 40,000. At theend of the year, the total profit is Rs. 33,000. If A receives Rs. 15,000 as both his salary andprofit, then what is his salary?

Accepted Answer

The answer of A and B enter into a partnership...

Question 5

An article costs Rs. 600. What should be the marked price of an article so that after 10% discount, the trader makes 20% profit?

Accepted Answer

The answer of An article costs Rs. 600. What should...

Question 6

A man buys 50 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?

Accepted Answer

The man effectively buys each pen at a discount (50 pens for the price of 46), which means he pays 46/50 of the marked price per pen. When he sells the pens with a 1% discount, he sells each pen at 99% of the marked price. The profit percent is calculated based on the difference between the selling price and the effective buying price, which results in a profit of 7.6%.

Question 7

P sells an article to Q at 10 % profit. Q sells it to R at 25 % profit. If R pays Rs. 250 for it, What did P pay for it ?

Accepted Answer

R pays Rs. 250, which is 125% of Q's cost price (since Q sells it at 25% profit). To find Q's cost price: 250 * 100 / 125 = Rs. 200. This Rs. 200 is 110% of P's cost price (since P sells it at 10% profit). To find P's cost price: 200 * 100 / 110 = Rs. 181.81.

Question 8

Sagar purchased 10 kg of rice at the rate of Rs. 15 per kg and 25 kg of rice at the rate Rs.14 per kg. He mixed the two and sold the mixture. Approximately at what rate per kg should hesell the mixture to make 40 % profit in the transaction?

Accepted Answer

The total cost of rice = (10kg * Rs. 15/kg) + (25kg * Rs. 14/kg) = Rs. 150 + Rs. 350 = Rs. 500. The total weight of the mixture = 10kg + 25kg = 35kg. To make a 40% profit, the selling price = 140% of cost = 1.4 * Rs. 500 = Rs. 700. Therefore, the rate per kg = Rs. 700 / 35kg = Rs. 20.

Question 9

A trader has 200 kg of sugar, out of which he sells some with 10% profit and the rest with 25% profit. He gains 15% on the whole. Find the quantity of sugar sold at 25% profit?

Accepted Answer

The answer of A trader has 200 kg of sugar,...

Question 10

Anil purchased 30 kg of wheat at the rate of Rs. 22 per kg and 20 kg of wheat at the rate ofRs. 24 per kg. He mixed the two. Approximately at what rate per kg should he sell the mixture tomake 25% profit?

Accepted Answer

The total cost of the wheat is (30 kg * Rs. 22) + (20 kg * Rs. 24) = Rs. 660 + Rs. 480 = Rs. 1140 for 50 kg. The cost per kg is Rs. 1140 / 50 kg = Rs. 22.8. To make a 25% profit, he should sell it at Rs. 22.8 * 1.25 = Rs. 28.5, approximately Rs. 28.

Question 11

At what price should the Karan mark a sewing machine that costs him Rs. 1200/- so that even after offering a 20% discount, he makes 25% profit?

Accepted Answer

To achieve a 25% profit on a cost of Rs. 1200, Karan needs to sell the sewing machine for Rs. 1200 + 25% of Rs. 1200 = Rs. 1200 + Rs. 300 = Rs. 1500. To find the marked price before a 20% discount, let the marked price be x. A 20% discount on x gives us x - 20% of x = 80% of x = 0.8x. This amount should equal the selling price for a 25% profit, which is Rs. 1500. So, 0.8x = Rs. 1500. Solving for x gives x = Rs. 1500 / 0.8 = Rs. 1875. Therefore, the sewing machine should be marked at Rs. 1875.

Question 12

Virat buys an old car for Rs. 50000 and spends Rs. 4000 on its repairs. If he sells the scooter for Rs. 60000, his gain percent is:

Accepted Answer

The answer of Virat buys an old car for Rs....

Question 13

P, Q, R subscribe Rs. 50,000 for a business. P subscribes Rs. 4000 more than Q and Q Rs. 5000 more than R. Out of a total profit of Rs. 25,000, what will be P's share?

Accepted Answer

Let R's subscription be Rs. x. Then, Q's subscription is Rs. x + 5000, and P's subscription is Rs. x + 9000. The total subscription is x + (x + 5000) + (x + 9000) = 3x + 14000 = 50000. Solving for x gives x = 12000. Therefore, P's subscription is 21000. P's share of the profit is (21000/50000) * 25000 = Rs. 10,500.

Question 14

A trader purchases several articles at the rate of 13 for Rs. 10 and sells them at the rate of 10 for Rs. 13. What is his gain/loss?

Accepted Answer

The answer of A trader purchases several articles at the...

Question 15

By purchasing an article at 20 % discount on the original price and then selling it at a price of25% above the original price, a trader earns Rs. 200 as the profit. What was the original price ofthe article?

Accepted Answer

The trader buys at 80% of the original price and sells at 125% of the original price. The difference is 45% of the original price, which equals Rs. 200. Solving 0.45x = 200 gives x = Rs. 444.44.

Question 16

A boy incurs 5% loss by selling a book for Rs. 1000. At what price should the book be sold to earn 5 % profit?

Accepted Answer

The cost price of the book can be calculated by dividing the selling price by (1 - loss %), which is 1000 / (1 - 0.05) = Rs. 1052.63. To achieve a 5% profit, the selling price should be 1052.63 * 1.05 = Rs. 1105.26.

Question 17

Find the resultant profit if A sells a cupboard at a profit of 6% to B and B sells the same to C at a profit of 9%.

Accepted Answer

The overall profit percentage can be calculated using the formula for successive percentage increase: $ (a + b + \frac{ab}{100}) \% $, where $a$ and $b$ are the profit percentages for the first and second transactions, respectively. Here, $a = 6\%$ and $b = 9\%$, so the overall profit percentage is $6 + 9 + \frac{6 \times 9}{100} = 15 + 0.54 = 15.54\%$.

Question 18

If Harsh sold a match ticket for Rs.340 at a profit of 25%, at what price did he purchased the ticket?

Accepted Answer

The answer of If Harsh sold a match ticket for...

Question 19

Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1100. What is the gain or loss in percentage?

Accepted Answer

The cost price of 11 bags is Rs.1000, so the cost price of 1 bag is Rs.1000/11. The selling price of 10 bags is Rs.1100, so the selling price of 1 bag is Rs.1100/10 = Rs.110. The gain per bag is Rs.110 - (Rs.1000/11) = Rs.10. Therefore, the gain percentage is (Rs.10 / (Rs.1000/11)) * 100 = 21%.

Question 20

Vijay sells a cupboard at 14% below cost price. Had he got Rs.2086 more, he would have made a profit of 14%. What is the cost price of the cupboard?

Accepted Answer

Let the cost price be Rs. xSelling price = x - 14% of x = 0.86xProfit = 14% of x = 0.14xSelling price + Profit = 0.86x + 0.14x = x + 20861x = x + 2086x = 2086Therefore, the cost price of the cupboard is Rs. 2086.

Quiz 3: Mathematical Problems for Profit and Loss