A grocer bought sugar worth 5000. He sold one half of it at a gain of 10%. At what gain per cent must the remaining sugar be sold to have a gain of 15% on the whole ?
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A grocer bought sugar worth 5000. He sold one half of it at a gain of 10%. At what gain per cent must the remaining sugar be sold to have a gain of 15% on the whole ?
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Given:
Cost price of sugar = Rs 5000.
C.P. of 1/2 of sugar is,
1
— × 5000 = 2500
2
gain % = 10%.
100 + gain %
S P = ——————— × C P
100
100 + 10
S P = ————— × 2500
100
S P = 2750
Gain on total = 15%
Total selling price is,
100 + gain %
Total S.P. = ——————— × C P
100
100 + 15
= ————— × 5000
100
= 5750
The remaining C.P. is,
5000 – 2500 = 2500
The remaining S.P. is,
5750 + 2750 – 3000
So, gain = S.P. - C.P.= 3000-2500 = 500
Gain percentage is,
gain×100 500×100
Gain % = ————— = ————— = 20 %
C P 2500
Answer: The required gain percentage
is 20%.
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