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### Question 1

What should be the marked price of an item if a profit of 140% is to be made after allowing a discount of 20%?

### Question 2

An article was purchased at ${1/25}$ of its marked price. Later it was sold at a 5% more than the marked price. What is the profit percentage?

### Question 3

A retailer makes a gain of 30% when he sells the first item for Rs. 1170. But he suffers a loss of 30% when he sells the second item for Rs. 280. What is his combined loss or gain?

**A**

$11{7/13}$.

**B**

$12{7/13}$.

**C**

$13{7/13}$.

**D**

$10{7/13}$.

**Soln.**

**Ans: a**

The cost of the first item is 1170 × $100/{100 + 30}$ which is Rs. 900. The cost of the second item is 280 × $100/{100 - 30}$ which is Rs. 400. The combined cost is 900 + 400 = Rs. 1300. The combined sale is 1170 + 280 = Rs. 1450. The profit percent is 100 × ${1450 - 1300}/1300$, which is $11{7/13}$%.

### Question 4

A profit of 20%, as calculated on the cost price, is made by selling an item for Rs. 96. What is the profit in rupees?

**A**

Rs. 16.

**B**

Rs. 17.

**C**

Rs. 15.

**D**

Rs. 18.

**Soln.**

**Ans: a**

If cost is C, profit is P% and sale is S, then we know that C = $S/(1 + P/100)$. So the profit in rupees would be S - C = S - $S/(1 + P/100)$, which simplifies to ${S × P}/{100 + P}$, which is ${96 × 20}/{100 + 20}$ = Rs. 16.

__Shortcut Method__: If sale is 120, profit is Rs. 20. So if sale is 96, profit = Rs. $20/120$ × 96 = Rs. 16.

### Question 5

An item has a printed price of Rs. 8500 which includes the shopkeeper's profit of 25%. What is the cost price of the shopkeeper?

This Blog Post/Article "Profit and Loss Quiz Set 016" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.