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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?
Options:
A .  25
B .  30
C .  35
D .  40
Answer: Option A
:
A
Total Cost Price = Rs 5000 . Total profit = 10% . Total Selling Price =1.1×5000=5500
Now go from answer options
If the number of footballs sold at profit is 25, then revenue for these 25 balls =1.3×25×100=3250
And the number of footballs sold at loss will be 25; revenue for these balls =0.9×25×100=2250
Sum= 5500 = 10% profit on 5000
Thus, the assumption is right

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