Sohan and Rohan started a business and invest… | GMAT Sprint

Free Practice Question

PS · Problem Solving

705-805

Fractions/Ratios/Decimals

Sohan and Rohan started a business and invested Rs.160000 and $240000 respectively. After 3 months Rohan left and after 6 months Kapil joined by investing $200000. At the end of the year, they realized a profit of $120000. What was Sohan’s share?

Correct answer marked below

$84000

$80000

$64000

$60000

Correct

$54000

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Explanation

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Official Explanation

Official

Ratio of which profits are shared depends on the investments made and the time period for which they are made. In effect,

P_a : P_b : P_c = I_a \times t_a : I_b \times t_b : I_c \times t_c

, where t is in months.

Given:

I_s = 160000

t_s = 12

months;

I_r = 240000

t_r = 3

months;

I_k = 200000

t_k = 6

months.…

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What this question tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.