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A dealer sold 56\frac 5665​​th of his goods at 30 percent profit and the remaining at the cost price. What is his overall gain percent?
Question

A dealer sold 56\frac 56​th of his goods at 30 percent profit and the remaining at the cost price. What is his overall gain percent?

A.

27.27 percent

B.

25 percent

C.

22.5 percent

D.

30 percent

Correct option is B

Given:
A dealer sold 56\frac 56​ of his goods at 30% profit
The remaining 16\frac 16​was sold at the cost price
Formula Used:
Overall Gain %=(Total GainTotal Cost Price)×100\text{Overall Gain \%} = \left( \frac{\text{Total Gain}}{\text{Total Cost Price}} \right) \times 100​​
Solution:
Let the total cost price be ₹6 
Cost of 5/6 goods = ₹5
Profit on ₹5 = 30% of 5 = ₹1.5
Selling price for 5/6 goods = ₹5 + ₹1.5 = ₹6.5
Cost of remaining 1/6 goods = ₹1
Sold at cost price → Selling price = ₹1
Total Cost Price = ₹6
Total Selling Price = ₹6.5 + ₹1 = ₹7.5
Total Gain = ₹7.5 − ₹6 = ₹1.5
Overall Gain % = 1.56\frac{1.5} 6​× 100 = 25%


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