Question

On selling mangoes at 36 for a rupee, a shopkeeper loses 10%. How many mangoes should he sell for a rupee in order to gain 8%?

Answer 1

Answer:

30 mangoes should he sell for a rupee in order to gain 8%.

Step-by-step explanation:

Given : On selling mangoes at 36 for a rupee, a shopkeeper loses 10%.

To find : How many mangoes should he sell for a rupee in order to gain 8%?

Solution :

Selling price of 36 mangoes is Rs.1.

A shopkeeper loses 10%.

The selling price formula is

$1=\frac{100-10}{100}\times CP$

$1=\frac{90}{100}\times CP$

$1=0.9\times CP$

$CP=\frac{1}{0.9}$

$CP=\frac{10}{9}$

Original cost price of 36 mangoes is $\frac{10}{9}$

Gain is 8%.

$SP=\frac{100+P\%}{100}\times CP$

$SP=\frac{100+8}{100}\times \frac{10}{9}$

$SP=\frac{108}{100}\times \frac{10}{9}$

$SP=\frac{12}{10}$

So, At $Rs.\frac{12}{10}$ he can sell 36 mangoes and make profit of 8%.

At Rs.1 he will sell the number of mangoes is

$n=\frac{36}{\frac{12}{10}}$

$n=\frac{36\times 10}{12}$

$n=30$

Therefore, 30 mangoes should he sell for a rupee in order to gain 8%.