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# A fruit seller buys 700 oranges at the rate of Ã¢â€šÂ¹500 for 100 oranges, and another variety of 500 oranges at the rate of Ã¢â€šÂ¹700 for 100 oranges and sells them at Ã¢â€šÂ¹84 per dozen. Find the profit percent.

**Given :**

The cost price of the first variety of 100 oranges $=â‚¹500$.

So, the cost price of 700 oranges $= â‚¹500 \times 7 = â‚¹3500$.

The cost price of the second variety of 100 oranges $=â‚¹700$.

So, the cost price of 500 oranges $= â‚¹700 \times 5 = â‚¹3500$.

The selling price of oranges $=â‚¹84$ per dozen.

**To do :**

We have to find the profit percent.

**Solution :**

Total cost price of oranges $= â‚¹3500 + â‚¹3500 = â‚¹7000$

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 $= â‚¹84 \times 100 = â‚¹8400$

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

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

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

**Therefore, the gain % is 20%. **