By mistake, instead of dividing Rs. 702 among Ram, Ramesh, and Naresh in the ratio \(\frac{1}{3}\) ∶\(\frac{1}{4}\) ∶ \(\frac{1}{6}\), it was divided in the ratio of 3 ∶ 4 ∶ 6. Who gained the most and by how much?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 1)

Answer 1

Given:

Total Amount = Rs. 702

Calculation:

Let, \(\frac{1}{3}:\frac{1}{4}:\frac{1}{6}\) = 4 : 3 : 2

Actual amount they have to got -

\(⟹ {\rm{}}Ram{\rm{}} = {\rm{}}\left( {702{\rm{}} \times {\rm{}}\frac{4}{{9}}} \right){\rm{}} = {\rm{}}Rs.312 \)

\(⟹ Ramesh = \left( {702 \times \frac{3}{{9}}} \right) = Rs.234 \)

\(⟹ Naresh = \left( {702 \times \frac{2}{{9}}} \right) = Rs.156 \)

But mistakenly they got the amount in the ratio = 3 : 4 : 6

\(⟹Ram = \left( {702 \times \frac{3}{13}} \right) = Rs.162 \)

\(⟹ Ramesh = \left( {702 \times \frac{4}{13}} \right) = Rs.216\)

\(⟹ Naresh = \left( {702 \times \frac{6}{13}} \right) = Rs.324 \)

Hence, Naresh gained Rs. 168 in the transaction.

∴ Option 3 is the correct answer.

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