Question

Rehman buys a few apples @ 15 apples for a rupee and the same number of apples at 20 a rupee. He mixes the two lots and sells them at 35 for 2 rupees. What is his gain or loss percentage?

Answer 1

hope dis will help u

Answer 2

Given :

Number of apples for a rupee = Rs. 15

Number of apples for a rupee = Rs. 20

Mixes the two lots and sell them Rs. 35 for 2 rupees.

To find : Gain or loss % = ?

Solution :

Let the number of apples be 'x'

So, cost of x apples would be $\dfrac{x}{15}$

cost of another x apples would be $\dfrac{x}{20}$

total cost price would be :

$\dfrac{x}{15}+\dfrac{x}{20}=\dfrac{4x+3x}{60}=\dfrac{7x}{60}$

Selling price for 2x apples would be :

$\dfrac{2x\times 2}{35}=\dfrac{4x}{35}$

So, Loss would be :

cost price - selling price

$\dfrac{7x}{60}-\dfrac{4x}{35}\\\\=\dfrac{49x-48x}{420}\\\\=\dfrac{x}{420}$

So, Loss% would be

$\dfrac{\dfrac{x}{420}}{\dfrac{7x}{60}}\times 100\\\\=\dfrac{x\times 60}{420\times 7x}\times 100\\\\=\dfrac{1}{49}\times 100\\\\=2.04\%$

hence, his loss % is 2.04%.