Question

A shopkeeper buys 50 footballs at Rs.100 per football. He sells a part of the footballs at a profit of $30\%$ and on the remaining; he incurs a loss of $10\%$ . If the overall profit is $10\%$, then the number of footballs sold at profit is?

• A. 25
• B. 30
• C. 35
• D. 40

Answer 1

The correct option is A 25

Total Cost Price = Rs 5000 . Total profit = $10\%$ . Total Selling Price $=1.1\times 5000=5500$

Now go from answer options

If the number of footballs sold at profit is 25, then revenue for these 25 balls $=1.3\times 25\times 100=3250$

And the number of footballs sold at loss will be 25; revenue for these balls $=0.9\times 25\times 100=2250$

Sum= 5500 = $10\%$ profit on 5000

Thus, the assumption is right