Question
Find the $C.P.$ when: $S.P. = Rs. 1755,$ gain $=12\frac{1}{2}\%$
✓
Answer
$S.P. = Rs. 1755$
Gain $\%=12\frac{1}{2}\%$
$=\frac{25}{2}\%$
$\therefore\text{C.P.}=\frac{\text{S.P.}\times100}{100+\text{gain%}}$
$=\frac{1755\times100}{100+\frac{25}{2}}$
$=\text{Rs. }\frac{1755\times100}{\frac{200+25}{2}}$
$=\frac{1755\times100\times2}{225}$
$=\text{Rs. }\frac{195\times4\times2}{1}$
$=\text{Rs. }1560$
Gain $\%=12\frac{1}{2}\%$
$=\frac{25}{2}\%$
$\therefore\text{C.P.}=\frac{\text{S.P.}\times100}{100+\text{gain%}}$
$=\frac{1755\times100}{100+\frac{25}{2}}$
$=\text{Rs. }\frac{1755\times100}{\frac{200+25}{2}}$
$=\frac{1755\times100\times2}{225}$
$=\text{Rs. }\frac{195\times4\times2}{1}$
$=\text{Rs. }1560$
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