MathematicsA 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 x3.
    C1 = 45003=1500
    Let us assume that the selling price of one third of sugar as S1.
    Gain=S1-C1C1×100
    S1-15001500×100=10
    S1=1650
    Given that the gain percentage of whole sugar as 12%.
    SP-45004500×100=12
    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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