SSC CGL (Prelims) Maths: Profit and Loss questions with solutions

Q1. Find the gain percentage, given that Siddhi sold her scooter for ₹31,902, gaining $\frac{1}{5}$ of the selling price.

1. 20%
2. 30%
3. 25%
4. 5%

Answer: 25%

The gain is $\frac{1}{5}$ of the selling price, so gain = 20% of SP. Since SP = CP + gain, the cost price is 80% of SP. Therefore, gain as a percentage of cost price is $\frac{20}{80}\times 100 = 25\%$.

Q2. A shopkeeper buys an article for ₹600 and sells it for ₹750. What is his profit percentage?

1. 20%
2. 25%
3. 30%
4. 40%

Answer: 25%

Profit = Selling Price - Cost Price = 750 - 600 = 150. Profit percentage = (150/600) × 100 = 25%.

Q3. If the cost price of 12 pens is equal to the selling price of 10 pens, what is the profit percentage?

1. 10%
2. 20%
3. 25%
4. 16.67%

Answer: 20%

Let the cost price of one pen be 1 unit, so the cost price of 12 pens is 12 units. This equals the selling price of 10 pens, so selling price of one pen is 12/10 = 1.2 units. Profit per pen = 0.2 units, so profit percentage = 0.2/1 × 100 = 20%.