Question

By selling four articles for Rs. 850, a person gains the cost price of one article. If P is the profit percent which of the following is correct?

A. P is a multiple of 20

B. Profit is a multiple of 50

C. P is a perfect square

D. Profit = Rs. 170

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

Answer 1

Correct Answer - Option 4 : C and D

Given:                      

SP of 4 articles = Rs. 850

Profit = CP of 1 article

Profit% = P%

Formula Used:

Profit = SP – CP

%Profit = (profit/CP) × 100

Where CP is cost price and SP is selling price.

Calculation:

Profit = CP

SP of four articles = CP of four articles + Profit

⇒ 4SP = 4CP + CP

⇒ 4SP = 5CP

⇒ 850 = 5CP

⇒ CP = Rs. 170

⇒ Profit = Rs. 170

P% = (Profit/4CP) × 100 %

⇒ P% = (CP/4CP) × 100 %

⇒ P% = 100/4 %

⇒ P% = 25%

A. P is a multiple of 20

P = 25

⇒ 5 × 5

⇒ 25 is not a multiple of 20

⇒ A is not correct

B. Profit is a multiple of 50

Profit = 170

⇒ It is not a multiple of 50

⇒ B is not correct

C. P is a perfect square

⇒ P = 25

⇒ 5 × 5

⇒ C is correct.

D. Profit = Rs. 170

⇒ D is correct.

∴ C and D are correct.