# A grocer bought sugar worth rs 4500 .He sold one-third of it at a gain of 10 percent.At what gain percent must remaining sugar sold to have again of 12 percent on whole.

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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 rs4500+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