By selling a fan for Rs2 604 there is a loss of 7 If it is sold for Rs3 094 then the profit percenta...........

Quantitative Aptitude (MTS) Profit and loss

By selling a fan for Rs2,604, there is a loss of 7%. If it is sold for Rs3,094, then the profit percentage is:

This questions was previously asked in

SSC MTS 6th October 2021 Shift-3

10%

12%

9.5%

10.5%

- To find the cost price, note that selling at Rs2,604 gives a 7% loss.

- Loss of 7% implies selling for 93% of the cost price.

- $$ 0.93 \times \text{Cost Price} = 2604 $$

- Solving for Cost Price, $$ \text{Cost Price} = \frac{2604}{0.93} = Rs2,800 $$

- To check profit at Rs3,094, calculate the profit percentage.

- Profit = $$ 3,094 - 2,800 = Rs294 $$

- Profit percentage = $$ \left( \frac{294}{2800} \right) \times 100 = 10.5\% $$

- $\color{green}{\text{?}}$ Option 4: 10.5% is correct.

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