Question

a man makes a profit of 10% by selling a radio for rs 9495 what is the cost price of the radio?​

Answer 1

GIVEN

A man makes a profit of 10%.

Selling Price is Rs.9495

TO FIND :- Cost Price of the radio.

SOLUTION :-

$profit\% = \frac{profit}{cp} \times 100 \\ \\ \\ = \frac{sp - cp}{cp} \times 100$

In this formula, we will put value of SP(selling price) as given Rs.9495.

Let the Cost Price be x

$10 = \frac{9495 - x}{x} \times 100 \\ \\ \\ \\ \implies 10x = (9495 - x)100 \\ \\ \\ \\ \implies \frac{x}{10} = 9495 - x \\ \\ \\ \\ \implies \frac{x}{10} + x = 9495 \\ \\ \\ \\ \implies \frac{x + 10x}{10} = 9495 \\ \\ \\ \\ \implies 11x = 94950 \\ \\ \\ \\ \implies x = \frac{94950}{11} \\ \\ \\ \\ \implies \boxed{x = 8631.81}$

Hence the cost price is Rs.8631.81 (ANS)