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