Question

John sold an article to Peter at 20% profit and Peter sold it to Mohan at 5% loss. If Mohan paid Rs.912 for the article; find how much did John pay for it ?

Answer 1

Mohan paid for the article = Rs. 912
$\because$ Peter sold the article to Mohan
$\therefore$ For Peter :
S.P. = Rs. 912
Loss = 5%
C.P. = $\frac{100}{(100-Loss}\times S.P.$
= $\frac{100}{(100-5)}\times Rs.912=Rs.\frac{100\times 912}{95}$
= 20 $\times$ 48 = Rs.960
John sold the same article to Peter
\therefore For John :
S.P. = Rs.960
Profit = 20%
C.P. = $\frac{100}{(100+Profit}\times S.P.$
= $\frac{100}{(100+20)}\times Rs.960=Rs.\frac{100}{120}\times 960$
= Rs. 100 $\times$ 8 = Rs.800
Hence, John paid for the article = Rs. 800