Question

A shopkeeper marks his goods at 40% above the cost price and allows a discount of 25%. What is his gain percent?

Answer 1

Let cost price be Rs. x

Marked price = x + 40% of x = 140x/100 = Rs. 7x/5
Discounted price (or selling price)
= 7x/5 - 25% of 7x/5
= 7x/5 - 7x/20
= Rs. 21x/20

Gain = SP - CP = 21x/20 - x = Rs. x/20
Gain % = (Gain/CP) *100
= (x/20x)*100
= 5%

Answer 2

Answer:

Required gain percentage is 35%.

Step-by-step explanation:

Given, a shopkeeper marks his goods at 40% above the cost price.

Let, cost price of the goods are x rupees.

The shopkeeper marks his goods at 40% above x rupees.

So, marked price

$= \frac{100 + 40}{100} \times x \\ = \frac{140}{100} \times x \\ = \frac{7x}{5} \: rupees$

Again it is given that he allows a discount of 25%.

So,selling price

$= \frac{7x}{5} \times \frac{100 - 25}{100} \\ = \frac{7x}{5} \times \frac{75}{100} \\ = \frac{21x}{20} \: rupees$

His profit

$= \frac{7x}{5} - \frac{21x}{20} \\ = \frac{28x - 21x}{20} \\ = \frac{7x}{20} \: rupees$

Here x rupees mean 100 %

So 1 rupees mean $\frac{100}{x} \%$

and $\frac{7x}{20}$ rupees mean

$\frac{100}{x} \times \frac{7x}{20} \\ = 35\%$

Required gain percentage is 35%.

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