Question

The difference between two selling prices of a shirt at profits of 4% and 5% is Rs 6. Find
(i) C.P. of the shirt
(ii) the two selling prices of the shirt

Answer 1

\[\text { Let the C . P of both the shirts be Rs . x } . \]

\[\text { C . P = Rs . x }\]

\[\text { For shirt 1 }: \]

\[\text { Profit is 4 % } : \]

\[\text { Profit % } = \frac{\text { Profit }}{CP} \times 100\]

\[\text { Profit } = \frac{4}{100} \times C . P\]

\[ = Rs . 0 . 04x\]

\[\text { S . P = C . P + Profit }\]

\[ = x + 0 . 04x\]

\[ = Rs . 1 . 04x\]

\[\text { For shirt 2: } \]

\[\text { Profit = 5 % : } \]

\[\text { C . P = Rs . x }\]

\[\text { Profit = } \frac{5}{100} \times C . P\]

\[ = Rs . 0 . 05x\]

\[S . P = C . P + Profit\]

\[ = x + 0 . 05x\]

\[ = \text { Rs .} 1 . 05x\]

\[\text { It is given that the difference between their profits is Rs } . 6\]

\[\text { So,  }1 . 05x - 1 . 04x = 6\]

\[0 . 01x = 6\]

\[x = Rs . 600\]

\[\text { Thus, C . P = Rs } . 600\]

\[\text { S . P of shirt 1 } = Rs . 1 . 04x\]

\[ = \text { Rs  }. 1 . 04 \times 600\]

\[ = Rs . 624\]

\[\text { S . P of shirt 2 = Rs } . 1 . 05x\]

\[ =\text {  Rs . 1 . 05  }\times 600\]

\[ = \text { Rs } . 630 .\]