Math, asked by koiralatika02, 4 hours ago

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.​

Answers

Answered by TheGodWishperer
4

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.

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