a grocer bought sugar worth of rs 4500. He sold one third of it at 10 percent gain. At what gain percent , the remaining sugar be sold to have at a 12 percent gain on the whole?
Answers
Given:
CP = 4500
Profit on 1/3 of the of 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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Step-by-step explanation:
Net worth of total sugar =
rs 4500
1/3 of total sugar =1/3*4500=1500
10% of 1500=150
so,he get rs 1500+150=1650 when he sold 1/3 of total sugar at 10% profit.
He must gain 12% profit on total sugar
so, total sugar sold at rs 4500+540= rs 5040
he had already gained rs 1650
so, now he want rs 5040-1650=rs 3390
he had left with sugar worth rs 4500-1500=3000
Now, let the gain percent on 2/3 of sugar be x
so, x% of 3000 = 3390-3000
x/100*3000= 390
x*30=390
x= 390/30
x= 13
Therefore,he must sold the remaining sugar at 13% gain so as to get 12% gain on total sugar