Question

Sirjana Sold a watch at a loss of 12%. If She had sold it for Rs. 288 more she would have gained 12 %. find the cost price of the watch.​

Answer 1

Solution:-

Let she bought the watch for X rupee.

When he sold her she suffer a loss of 12% which means she sold it for X - 12% of X

$\mathtt{x - 12\% \: of \: x \: = \frac{88}{100} x}$

Now if she had sold it for 288 more she would have gained 12% which means.

she bought for X and sold for X+12% Than difference in loss and gains would be 288

$\mathtt{x + 12\% \: of \: x \: = \frac{112}{100} x}$

Now if we add 288 in loss we will get 12%gain

hence

$\large\mathtt{ \frac{88}{100} x + 288 = \frac{112}{100}x }$

$\large\mathtt{ 288 = \frac{112}{100}x - \frac{88}{100}x }$

$\large\mathtt{ 288 = \frac{112 - 88}{100}x }$

$\large\mathtt{ 288 = \frac{24}{100}x }$

$\large\mathtt{ 288 \times \frac{100}{24} = x }$

$\large\mathtt{ 600 = x }$

Hence the cost price of watch is 600.