# A fruit seller buys 700 oranges at the rate of ﾃ｢窶堋ｹ500 for 100 oranges, and another variety of 500 oranges at the rate of ﾃ｢窶堋ｹ700 for 100 oranges and sells them at ﾃ｢窶堋ｹ84 per dozen. Find the profit percent.

Given :

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

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

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

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

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

To do :

We have to find the profit percent.

Solution :

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

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 $= 竄ｹ84 \times 100 = 竄ｹ8400$

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

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

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

Therefore, the gain % is 20%.

Updated on: 10-Oct-2022

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