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?

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13%

25%

30%

17%

answer is A.

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Detailed 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.

\Rightarrow Gain = \frac{S_{1} - C_{1}}{C_{1}} \times 100

\Rightarrow \frac{S_{1} - 1500}{1500} \times 100 = 10

\Rightarrow S_{1} = 1650

Given that the gain percentage of whole sugar as 12%.

\Rightarrow \frac{SP - 4500}{4500} \times 100 = 12

\Rightarrow SP = 5040

Let us assume that the cost of remaining two third sugar as S.
SP = S + S1

\Rightarrow

5040 = S + 1650

\Rightarrow

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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