SSC CGL 2022 PYQ — Question 62

SSC CGL - 01 Dec 2022 - Shift 2 • Quantitative Aptitude • Q62

The difference between the cost price and the selling price of a pair of shoes is Rs.1,200. If the profit is 15%, and the selling price is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. Rs.9,200.

Let's assume that the cost price of the pair of shoes is 'C' and the selling price is 'S'.

Given that the difference between the cost price and the selling price is Rs.1,200.

So we can write the equation:

S - C = 1200

Also, given that the profit is 15%. We know that the profit percentage is given by:

Profit Percentage = (Profit/Cost Price) × 100

We can rearrange this formula as:

Profit = (Profit Percentage / 100) × Cost Price

So, the profit earned on this pair of shoes would be:

Profit = (15/100) × C = 0.15C

We know that the profit earned is equal to the selling price minus the cost price. So we can write another equation:

S - C = 0.15C

Substituting the value of S - C from the first equation, we get:

1200 = 0.15C

Simplifying this equation, we get:

C = 8000

So, the cost price of the pair of shoes is Rs.8,000.

Substituting the value of C in the first equation, we get:

S - 8000 = 1200

Simplifying this equation, we get:

S = 9200

Therefore, the selling price of the pair of shoes is Rs.9,200.