Question

a' sold an article to 'b' at a profit of 20%. 'b' sold the same article to 'c' at a loss of 25% and 'c' sold the same article to 'd' at a profit of 40%. if 'd' paid rs 252 for the article, then find how much did 'a' pay for it?

Answer 1

You can refer to the attachment !

Answer 2

Answer:

Rs. 200.

Step-by-step explanation:

Let the article costs 'x' to A

a' sold an article to 'b' at a profit of 20%.

CP of B = $x+20\% x = x+\frac{20}{100}x = 1.2x$

Cost price of B = 1.2x

'b' sold the same article to 'c' at a loss of 25%

CP of C = $1.2x-25\% (1.2x) = 0.9x$

Cost price of C = 0.9Xx

'c' sold the same article to 'd' at a profit of 40%.

CP of D = $0.9x+40\% (0.9x) = 1.26x$

We are given that 'd' paid rs 252 for the article

So,  1.26 x= 252

$x= \frac{252}{1.26}$

x = 200

Hence Amount paid by A for the article is Rs. 200.