Question

Shaloo sold a mobile phone for ₹ 1,950 at a loss of 25%. At what price should she have sold it to get a profit of 30% ?

• A. ₹ 3,380
• B. ₹ 3,280
• C. ₹ 3,180
• D. ₹ 3,080

Answer 1

The Correct Option is A

To find the price at which Shaloo should have sold the mobile phone for a 30% profit, we first need to determine the cost price (CP) of the mobile phone. Shaloo sold the mobile phone for ₹ 1,950, which represents a 25% loss.

Let the cost price be ₹ x. A 25% loss implies that the selling price (SP) is 75% of the cost price. Thus, we have the equation:

1,950 = 0.75 × x

Solving for x, we divide both sides by 0.75:

x = 1,950 / 0.75 = 2,600

Therefore, the cost price of the mobile phone is ₹ 2,600.

Next, we calculate the selling price required to achieve a 30% profit. A 30% profit on the cost price means the selling price should be 130% of the cost price. Thus, the new selling price (S.P.) is given by:

S.P. = 1.30 × 2,600 = 3,380

Therefore, Shaloo should have sold the mobile phone for ₹ 3,380 to get a profit of 30%.