By selling oranges at the rate of Rs. $6 \frac{3}{4}$ per orange, a man gets Rs.378. How many oranges does he sell?

Given :

Selling price of one orange $= Rs. 6 \frac{3}{4}$ 

Total money earned by the man $= Rs. 378$

To do :

We have to find the number of oranges sold.

Solution :

Let the number of oranges sold be x.

Selling price of one orange $= Rs. 6 \frac{3}{4} = Rs. \frac{(6\times4+3)}{4} = Rs. \frac{(24+3)}{4} = Rs. \frac{27}{4}$

Selling price of x oranges $= Rs. \frac{27}{4} (x)$

Therefore,

$\frac{27}{4} (x) = 378$

$x = 378 \times \frac{4}{27}$

$x = 14 \times 4$

$x = 56$

The number of oranges sold is 56.

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Updated on: 10-Oct-2022

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