Find the cost price when:
(i) SP = Rs 1596 and gain $\%=12 \%$
(ii) SP = Rs 2431 and loss $\%=6 \frac{1}{2} \%$
(iii) SP = Rs $657.60$ and loss $\%=4 \%$
(iv) $\mathrm{SP}=$ Rs $34.40$ and gain $\%=7 \frac{1}{2} \%$
(i) $\mathrm{SP}=$ Rs. 1596
Gain percentage $=12 \%$
$\mathrm{CP}=\frac{100}{(100+\text { gain } \%)} \times \mathrm{SP}$
$=\frac{100}{(100+12)} \times 1596$
$=$ Rs. 1425
(ii) $\mathrm{SP}=$ Rs. 2431
Loss percentage $=6 \frac{1}{2} \%=\frac{13}{2} \%$
$\mathrm{CP}=\frac{100}{(100-\text { loss } \%)} \times \mathrm{SP}$
$=\frac{100}{\left(100-\frac{13}{2}\right)} \times 2431$
$=\frac{100 \times 2}{187} \times 2431$
$=$ Rs. 2600
(iii) SP $=$ Rs. $657.60$
Loss percentage $=4 \%$
CP $=\frac{100}{(100-\text { loss } \%)} \times$ SP
$=\frac{100}{(100-4)} \times 657.60$
$=$ Rs. 685
(iv) $\mathrm{SP}=$ Rs. $34.40$
Gain percentage $=7 \frac{1}{2} \%=\frac{15}{2} \%$
$\mathrm{CP}=\frac{100}{(100+\text { gain } \%)} \times \mathrm{SP}$
$=\frac{100}{\left(100+\frac{15}{2}\right)} \times 34.40$
$=\frac{100 \times 2}{215} \times 34.40$
$=$ Rs. 32