A shopkeeper buys 100 circket balls for rs10000and sell 40 of them at thr rate of 12.5% at what percent should he sell the remaining balls so that over all profit 20 %
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Shop keeper buys 100 balls for 10000
Then the cost of one ball = 10000 / 100 = 100
He sells 40 balls at 12.5%
(40 × 100)+ 12.5%(profit)
4000 + 12.5%
4000 + 12.5×4000/100
4000 + 500
4500
overall profit required= 20%
cost price= 10000
profit = cost × profit rate = 10000×20% = 2000
Selling price= 10000 + 2000 = 12000
estimated selling price - partial sale amount
12000 - 4500 = 7500 = required amount
cost of remaining balls = 60 × 100 = 6000
Profit = Required amount - cost = 7500 - 6000 =1500
profit Percentage= (profit/cost price)×100 = (1500/6000)×100 = 150000/6000 = 25%
Then the cost of one ball = 10000 / 100 = 100
He sells 40 balls at 12.5%
(40 × 100)+ 12.5%(profit)
4000 + 12.5%
4000 + 12.5×4000/100
4000 + 500
4500
overall profit required= 20%
cost price= 10000
profit = cost × profit rate = 10000×20% = 2000
Selling price= 10000 + 2000 = 12000
estimated selling price - partial sale amount
12000 - 4500 = 7500 = required amount
cost of remaining balls = 60 × 100 = 6000
Profit = Required amount - cost = 7500 - 6000 =1500
profit Percentage= (profit/cost price)×100 = (1500/6000)×100 = 150000/6000 = 25%
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