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Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: An amount is to be distributed among A, B, and C in the ratio 1 : 3 : 2respectively, but was erroneously distributed in the ratio 2 : 7 : 9 due to which B got Rs. 136 less. What is the amount to be distributed?   Quantity B: Rs 1228

Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: An amount is to be distributed among A, B, and C in the ratio 1 : 3 : 2respectively, but was erroneously distributed in the ratio 2 : 7 : 9 due to which B got Rs. 136 less. What is the amount to be distributed?   Quantity B: Rs 1228 Correct Answer Quantity A < Quantity B

GIVEN:

Real ratio = 1 : 3 : 2

Incorrect ratio = 2 : 7 : 9

B's loss = Rs 136

EXPLANATION:

Real ratio = (1 + 3 + 2) = 6

Incorrect ratio = (2 + 7 + 9) = 18

Let amount be 18x (L.C.M of 6 and 18)

Amount to be received by B = 18x/6 × 3 = 9x  

Amount erroneously received by B = 18x/18 × 7 = 7x

Difference = 9x - 7x = 2x

∴ 2x = 136

⇒ x = 68

so, Amount = 18x = 18 × 68 = Rs 1224

∴ Quantity A < Quantity B

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