Question

A tradesman marks an article Rs 205 above the cost price. He allows a discount of 10% on the marked price. Find his profit %, if the cost price is x?

Answer 1

Answer on Question #43143-Math-Other

A tradesman marks an article Rs 205 above the cost price. He allows a discount of 10% on the marked price. Find his profit %, if the cost price is x?

Solution

The cost price is

$$C. P. = R s x.$$

The marked price is

$$M. P. = C. P. + R s 205 = R s (205 + x).$$

Selling price (S.P.) is

$$S. P. = \frac{(100 - \text{discount}) \cdot \text{M. P.}}{100} = \frac{(100 - 10) \cdot \text{M. P.}}{100} = R s 0.9(205 + x).$$ $$\text{Profit \%} = \frac{\text{S. P. - C. P.}}{C. P.} 100 = \frac{\text{Rs 0.9}(205 + x) - R s x}{\text{Rs x}} 100 = \left(\frac{18450}{x} - 10\right)\%.$$

Answer: $\left(\frac{18450}{x} - 10\right)\%$

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