Question

Amit sold a book to a friend for rupees 624 and made a profit of 20 percent and what is the cost of the book

PLE.PLE PLE ANSWER PROPERLY AND STEP.BY STEP ​

Answer 1

Before, finding the answer. Lets find out on how we can find the answer.

• To find the cost price, we must use the formula of :

$\sf \dfrac{s.p \times 100}{100 + profit}$

• Here, we have to first multiply theing price with 100.
• Then, we must add profit and 100.
• At last, we divide both.

_________________

Given :

Selling Price = 624

Profit = 20

To find :

Cost price

Solution :

We know that,

$\sf Cost Price = \dfrac{s.p \times 100}{100 + profit}$

$\sf = \dfrac{624 \times100 }{100 + 20}$

$\sf = \dfrac{62400}{120}$

$\sf \: = 520$

Hence, the Cost price is Rs. 520.

★ Verification :

Profit = S.P - C.P

= 624 - 520

= Rs. 104

$\sf \: Profit \: Percent = \dfrac{profit}{cost \: price} \times 100$

$\sf = \dfrac{104}{520} \times 100$

$\sf \: = \dfrac{10400}{502}$

$\sf \: = 20\%$

Hence, we get that

• Selling price = Rs. 624
• Profit = 20%
• Cost price = 520