# Aniket sold a radio for Rs. 760 at some loss. Had she sold it for Rs. 920, then there would have been a profit equal to three times the initial loss.

9 views
in Aptitude
closed

Aniket sold a radio for Rs. 760 at some loss. Had she sold it for Rs. 920, then there would have been a profit equal to three times the initial loss. Which of the following is correct?

A. CP is 100 less than a perfect square

B. Aniket earns 15% profit

C. 800 < CP < 900

D. Loss is 33.33% of profit.

1. Only D
2. A, B, and D
3. Only C
4. A, B, and C

by (30.0k points)
selected

Correct Answer - Option 2 : A, B, and D

Given:

First SP = Rs. 760

Second SP = Rs. 920

Profit = 3 Loss

Formula Used:

Profit = SP – CP

Loss = CP – SP

%Profit = (profit/CP) × 100

Where CP is cost price and SP is selling price.

Calculation:

Loss = CP – first SP

⇒ Loss = CP – 760

Profit = Second SP – CP

⇒ Profit = 920 – CP

Profit = 3Loss

⇒ 920 – CP = 3Loss

⇒ 920 – CP = 3(CP – 760)

⇒ 920 – CP = 3CP – 2280

⇒ 4CP = 3200

⇒ CP = 800

CP = Rs. 800

A. CP is 100 less than a perfect square

⇒ CP = 800

⇒ 900 – 100

⇒ 302 – 100

⇒ A is correct

B. Aniket earns 15% profit

Profit = 920 – 800

⇒ Profit = 120

%Profit = 120/800 × 100

⇒ 15%

⇒ B is correct

C. 800 < CP < 900

800 = CP < 900

⇒ C is incorrect

D. Loss is 33.33% of profit.

Profit = 3Loss

⇒ Loss = 1/3 profit

⇒ 100/3 Profit %

⇒ 33.33% Profit

⇒ D is correct

A, B, and D are correct.