Question

A bought a certain quantity of banana at a total cost of rs 1500.he sold 1/3 of these bananas at 25% loss.if he earns an overall profit of 10% at what % profit did a sell the rest of the bananas?

Answer 1

He should sell the rest at a profit of 52.5%

Answer 2

Answer:

The profit percentage did a sell the rest of the banana is 82.14%.    

Step-by-step explanation:

Given : A bought a certain quantity of banana at a total cost of Rs.1500. He sold 1/3 of these bananas at 25% loss. If he earns an overall profit of 10%.

To find : At what % profit did a sell the rest of the bananas?

Solution :

Let the cost price of the banana is Rs.100.

A bought a certain quantity of banana at a total cost of Rs.1500.

So, Number of banana is $\frac{1500}{100}=15$

If he earns an overall profit of 10%.

The selling price of the 15 banana is

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

$SP=1500(\frac{100+10}{100})$

$SP=1500(\frac{110}{100})$

$SP=1650$

One-third of the banana is $\frac{1}{3}\times 15=5$

So, 5 banana is sold at loss 25%.

CP= 500

Selling price is $SP=CP(\frac{100-L\%}{100})$

$SP=500(\frac{100-25}{100})$

$SP=500(\frac{75}{100})$

$SP=375$

Remaining banana is 12-5=7

Cost price of 7 banana is Rs.700

Remaining selling price is 1650-375=Rs.1275.

Required profit percentage is

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

$P\%=\frac{1275-700}{700}\times 100$

$P\%=\frac{575}{700}\times 100$

$P\%=82.14\%$

Therefore, The profit percentage did a sell the rest of the banana is 82.14%.