A grocer bought tea which cost $ 4500. he sold one-third of tea at a gain of 10%. at what gain per cent must the remaining tea be sold to have a gain of 12% on the whole?
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Given: CP = 4500
Profit on 1/3 of theof the sugar = 10%
Amount = (4500/3)*(110/100)
= 150*11 = 1650
Profit = 1650 - 1500 = 150
Total amount required = 4500*112/100 = 5040
Total profit should be 5040 - 4500 = 540
Required profit on the remaining part of the sugar = 540 - 150 = 390
Let the profit on the remaining part of sugar be x
amount by selling 2/3 of the sugar = (4500)*(2/3)*(x/100) = 390
= 30x = 390
= x = 390/30 = 13
Therefore, profit on the remaining part of the sugar = 13%
Profit on 1/3 of theof the sugar = 10%
Amount = (4500/3)*(110/100)
= 150*11 = 1650
Profit = 1650 - 1500 = 150
Total amount required = 4500*112/100 = 5040
Total profit should be 5040 - 4500 = 540
Required profit on the remaining part of the sugar = 540 - 150 = 390
Let the profit on the remaining part of sugar be x
amount by selling 2/3 of the sugar = (4500)*(2/3)*(x/100) = 390
= 30x = 390
= x = 390/30 = 13
Therefore, profit on the remaining part of the sugar = 13%
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