Question

by selling a chair for₹ 30, a dealer make a profit of 25%.find what price did the dealer pay for it​

Answer 1

Answer :-

CP of a chair is Rs. 24.

Solution :-

SP of a chair = Rs. 30

Profit % = 25 %

$\boxed{\bf CP = \dfrac{SP \times 100}{100 + Profit \%}}$

$\sf CP \: of \: a \: chair = \dfrac{30 \times 100}{100 + 25}$

= 3000/125

= 24

Therefore CP of a chair is Rs. 24.

Verification :-

Profit = 30 - 24 = Rs. 6

Let us check the the answer by substituting it in Profit % formula

$\boxed{\bf Profit \% = \dfrac{Profit}{CP} \times 100}$

= 6/24 * 100

= 6/6 * 25

= 1 * 25

= 25 %

We got same Profit % what is given in question.