Question

A fruit seller buys 712 fruits, of which 3/4 are apples. Of all the apples that he
bought, 1/3 were found to be rotten. If he sold all the good apples at
Rs. 21/4 each. How much money did he receive on selling all the good apples.​

Answer 1

Answer

First, we should find the number of apples that the fruit seller bought.

Number of apples bought :

${\sf \leadsto \dfrac{3}{4} \: of \: 712}$

${\sf \leadsto \dfrac{3}{4} \times 712}$

${\sf \leadsto \dfrac{3 \times 712}{4} = \dfrac{2136}{4}}$

${\sf \leadsto \cancel \dfrac{2136}{4} = 534}$

Now, let's find the number of apples that where rotten.

Number of apples rotten :

${\sf \leadsto \dfrac{1}{3} \: of \: 534}$

${\sf \leadsto \dfrac{1}{3} \times 534}$

${\sf \leadsto \dfrac{1 \times 534}{3} = \dfrac{534}{3}}$

${\sf \leadsto \cancel \dfrac{534}{3} = 178}$

Number of apples remaining :

${\sf \leadsto 534 - 178}$

${\sf \leadsto 356 \: apples}$

Now, we can find that at what price did the fruit seller sold the remaining apples.

Price sold for remaining apples :

${\sf \leadsto \dfrac{21}{4} \: of \: 356}$

${\sf \leadsto \dfrac{21}{4} \times 356}$

${\sf \leadsto \dfrac{21 \times 356}{4} = \dfrac{7476}{4}}$

${\sf \leadsto \cancel \dfrac{7476}{4} = 1869}$

So, the remaining apples were sold at a price of ₹1869.