A dealer bought 100 footballs for RS.40 each. He sells 20% of them at a gain of 10%. At what gain precent must he sell the remaining so as to gain 25% on the whole?
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Answer:
28.75 %
Step-by-step explanation:
Number of fottballs = 100
cost price of fottball = Rs 40
Total cost Price = 40 * 100 = rs 4000
20 % of 100 fottballs = 20
Selling Price of Each for 20 = 40 + (10/100)40 = Rs 44
Selling Price of 20 = 44 * 20 = rs 880
Total Gain = 25 %
Total selling price = 4000 + (25/100) * 4000 = Rs 5000
Selling price of remaing 80 footballs = 5000 - 880 = Rs 4120
Cost Price of remaing 80 footballs = 80 * 40 = rs 3200
gain = 4120 - 3200 = 920
Gain % = (920/3200) * 100 = 115/4 %
= 28.75 %
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