Question

A man sells a radio-set for Rs. 605 and gains 10%. At what price should he sell another radio of the same kind, in order to gain 16% ?

Answer 1

In the first condition,
S.P. of a radio-set = Rs. 605
Gain = 10%
C.P. = $\frac{100}{(100+gain}\times S.P.$
= $\frac{100}{(100+10)}\times Rs.605=Rs.\frac{100}{110}\times 605$
= Rs. $\frac{100\times 605}{110}=10\times 55=Rs.550$
In the second condition :
C.P. = Rs. 550
S.P. = $\frac{(100+gain}{100}\times C.P$
= $\frac{(100+16)}{100}\times Rs.550=Rs.\frac{116}{100}\times 550$
= Rs. $\frac{116\times 550}{100}=58\times 11=Rs.638$
$\therefore$ Radio should be sold at Rs. 638.