Question

Find the CP when:
(i) SP $=Rs924$, gain $=10\%$
(ii) SP $=Rs1755$, gain $=12\frac{1}{2}\%$
(iii) SP $=Rs8510$, loss $=8\%$
(iv) SP $=Rs5600$, loss $=6\frac{2}{3}\%$

Answer 1

(i)

SP $=Rs.924$
Gain $=10\%$
CP $=\frac{100}{(100+Gain\%)}\times SP$

$=\frac{100}{110}\times 924$
$=Rs.840$
(ii)

SP $=Rs.1755$
Gain $=12\frac{1}{2}\%=\frac{25}{2}\%$

CP $=\frac{100}{(100+Gain\%)}\times SP$

CP $=\frac{100}{(100+\frac{25}{2})}\times 1755$

CP $=\frac{200}{225}\times 1755$

$=Rs.1560$

(iii)

SP $=Rs.8510$
Loss $=8\%$

CP $=\frac{100}{(100-Loss\%)}\times SP$

CP $=\frac{100}{(100-8)}\times 8510$

CP $=\frac{100}{92}\times 8510$

$=Rs.9250$

(iv)

SP $=Rs.5600$
Loss $=6\frac{2}{3}\%=\frac{20}{3}\%$

CP $=\frac{100}{(100-Loss\%)}\times SP$

CP $=\frac{100}{(100-\frac{20}{3})}\times 5600$

CP $=\frac{300}{280}\times 5600$

$=Rs.6000$