A fruit seller buys 700 oranges at the rate of â‚¹500 for 100 oranges, and another variety of 500 oranges at the rate of â‚¹700 for 100 oranges and sells them at â‚¹84 per dozen. Find the profit percent.

Academic Mathematics NCERT Class 7

Given :

The cost price of the first variety of 100 oranges $=₹500$.

So, the cost price of 700 oranges $= ₹500 \times 7 = ₹3500$.

The cost price of the second variety of 100 oranges $=₹700$.

So, the cost price of 500 oranges $= ₹700 \times 5 = ₹3500$.

The selling price of oranges $=₹84$ per dozen.

To do :

We have to find the profit percent.

Solution :

Total cost price of oranges $= ₹3500 + ₹3500 = ₹7000$

Total number of oranges purchased $= 700 + 500 = 1200$

We know that 1 dozen $=12$ numbers.

So, $\frac{1200}{12} = 100$

Selling price of 100 dozen of oranges $= ₹84 \times 100 = ₹8400$

Profit percent $=\frac{8400 -7000}{7000} \times 100$

$ = \frac{1400}{7000} \times 100$

$ = \frac{1400}{70} =20$%.

Therefore, the gain % is 20%.

Simply Easy Learning

Updated on: 10-Oct-2022

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