A grocer bought sugar worth Rs. 4500. He sold one-third of it at a 10% gain. Then what percent of the remaining sugar will be sold to get a 12% gain on the whole?

# A grocer bought sugar worth Rs. 4500. He sold one-third of it at a 10% gain. Then what percent of the remaining sugar will be sold to get a 12% gain on the whole?

1. A
13%
2. B
25%
3. C
30%
4. D
17%

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### Solution:

CP = Rs. 4500
Let us assume that the cost price of one third of sugar as C1.
If cost price of whole product is x then the cost price of one third is given as $\frac{x}{3}$.
C1 = $\frac{4500}{3}=1500$
Let us assume that the selling price of one third of sugar as S1.
$⇒\mathit{Gain}=\frac{{S}_{1}-{C}_{1}}{{C}_{1}}×100$
$⇒\frac{{S}_{1}-1500}{1500}×100=10$
$⇒{S}_{1}=1650$
Given that the gain percentage of whole sugar as 12%.
$⇒\frac{\mathit{SP}-4500}{4500}×100=12$
$⇒\mathit{SP}=5040$
Let us assume that the cost of remaining two third sugar as S.
SP = S + S1
$⇒$5040 = S + 1650
$⇒$S = 3390
Therefore, we can conclude that the cost of remaining two third of sugar is Rs. 3390 to get a total gain of 12% on the whole.
Hence, Option (1) is the correct answer.

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