Question

A fruit-seller sells 4 oranges for rupees 3, gaining 50%. Find the number of oranges brought and sold in order to gain rupees 24

Answer 1

Answer :

A fruit-seller sells 4 oranges for rupees 3 .
So,
Selling price of a orange = $\frac{3}{4}$

Let Cost price of orange = x , So according to question we get

$\Rightarrow$x + 50% of x = $\frac{3}{4}$

$\Rightarrow$x + $\frac{50x}{100}$ = $\frac{3}{4}$

$\Rightarrow$x + $\frac{50x}{100}$ = $\frac{3}{4}$

$\Rightarrow$x + $\frac{x}{2}$ = $\frac{3}{4}$


$\Rightarrow$$\frac{3x}{2}$ = $\frac{3}{4}$

$\Rightarrow$x = $\frac{1}{2}$

So,
Cost of a orange = Rs. 0 . 5

So,
Gain by selling 4 oranges = 3 - 4 ( 0.5 ) = 3 - 2 = Rs. 1

There fore

In order to gain Rs 24 total number of oranges bought and sold = 4 $\times$ 24 = 96 ( Ans )