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A fruit seller sells \({1 \over 4}\) of all his oranges to a buyer, and \({4 \over 15}\) of the remaining oranges to another buyer. If there are 33 oranges still left with him, how many oranges did the second buyer buy from him?

A fruit seller sells \({1 \over 4}\) of all his oranges to a buyer, and \({4 \over 15}\) of the remaining oranges to another buyer. If there are 33 oranges still left with him, how many oranges did the second buyer buy from him? Correct Answer 12

Calculation:

Let, the seller has total 1 unit oranges

He sells the 1st buyer 1/4 of all oranges

⇒ Remaining oranges = (1 - 1/4) = 3/4

The seller sells the other buyer 4/15 of the remaining oranges

⇒ He sells (3/4) × (4/15) = (1/5) of the all oranges

Remaining orange = 1 - (1/ 4 + 1/5) = 11/20

Accordingly,

11/20 unit = 33

⇒ 1 unit = 33 × (20/11) = 60

⇒ 1/5 unit = 12

∴ The 2nd buyer buy 12 oranges from him.

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