Question

After allowing discount of 10% on the marked price ,a trader still makes a gain of 17% .By what per cent is the marked price above the cost price ?​

Answer 1

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Answer 2

Answer:

Let the marked price be ₹x.

Then, discount allowed = 10%

Selling Price

$= ) \: (1 - \frac{10}{100})x \\ = ) \: \frac{9x}{100}$

Now, gain = 17%

Cost Price

$= ) \: (\frac{100}{117} \times \frac{9x}{10}) \\ = ) \: \frac{10x}{13}$

Difference between Marked Price and Cost Price

$= ) \: (x - \frac{10x}{13} ) \\ = ) \: \frac{3x}{13}$

The Marked Price is above Cost Price by

$= ) \: ( \frac{3x}{13} \times \frac{13}{10x} \times 100) \\ = ) \: 30$

Hence, the Marked Price is above Cost Price by 30%.