Question

A fruit vendor buys some oranges at the rate of Rs.5 per orange. He also buys an equal number of bananas at the rate of Rs.2 per banana. He makes a 20% profit on orange and 15% profit on bananas. At the end of the day, all the fruit is sold out. His total profit is Rs.390. Find the number of oranges purchased.

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Solution

Let the no. of oranges =x= no. of bananas

cost price =5x+2x=7x

Gain on oranges =20100×5x=x

Gain on Bananas =15100×2x=0.3x

Profit ⇒1.3x=390

⇒x=3901.3=300

No. of oranges purchased =300.

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