In a partnership business, A invests 1/6th of the capital for 1/6 of the total time, B invests 1/4th of the capital for 1/4 of the total time and C invests the rest of the capital for the whole time. Find the share of B out of a total profit of Rs. 1940 .

Let total capital be 12 units and total time be 12 units (LCM of 4 and 6). Capital invested: Capital of A = 1/6 × 12 = 2 Capital of B = 1/4 × 12 = 3 Capital of C = 12 - (2 + 3) = 7 Time period of investment: Time for A = 1/6 × 12 = 2 Time for B = 1/4 × 12 = 3 Time for C = 12 (whole time) Profit sharing ratio is given by Capital × Time : Profit ratio (A : B : C) = (2 × 2) : (3 × 3) : (7 × 12) = 4 : 9 : 84 Sum of ratios = 4 + 9 + 84 = 97 Share of B out of total profit of Rs. 1940 : Share of B = 9/

In a partnership business, A invests 1/6th of the capital for 1/6 of the total time, B invests 1/4th of the capital for 1/4 of the total time and C in - Quantitative Aptitude MCQ Competitive Exam 2026 | ExamTest.live

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In a partnership business, A invests \frac{1}{6} th of the capital for \frac{1}{6} of the total time, B invests \frac{1}{4} th of the capital for \frac{1}{4} of the total time and C invests the rest of the capital for the whole time. Find the share of B out of a total profit of Rs. 1940 .

A $Rs. 180$
B $Rs. 200$
C $Rs. 120$
D $Rs. 160$

Solution & Step-by-step Explanation

Let total capital be 12 units and total time be 12 units (LCM of 4 and 6). Capital invested: Capital of A = \frac{1}{6} \times 12 = 2 Capital of B = \frac{1}{4} \times 12 = 3 Capital of C = 12 - (2 + 3) = 7 Time period of investment: Time for A = \frac{1}{6} \times 12 = 2 Time for B = \frac{1}{4} \times 12 = 3 Time for C = 12 (whole time) Profit sharing ratio is given by Capital \times Time : Profit ratio (A : B : C) = (2 \times 2) : (3 \times 3) : (7 \times 12) = 4 : 9 : 84 Sum of ratios = 4 + 9 + 84 = 97 Share of B out of total profit of Rs. 1940 : Share of B = \frac{9}{97} \times 1940 = 9 \times 20 = Rs. 180

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In a partnership business, A invests \frac{1}{6} th of the capital for \frac{1}{6} of the total time, B invests \frac{1}{4} th of the capital for \frac{1}{4} of the total time and C invests the rest of the capital for the whole time. Find the share of B out of a total profit of Rs. 1940 .

Rs. 180

Rs. 200

Rs. 120

Rs. 160

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In a partnership business, A invests $\frac{1}{6} th$ of the capital for $\frac{1}{6}$ of the total time, B invests $\frac{1}{4} th$ of the capital for $\frac{1}{4}$ of the total time and C invests the rest of the capital for the whole time. Find the share of B out of a total profit of $Rs. 1940$ .

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In a partnership business, A invests 61​th of the capital for 61​ of the total time, B invests 41​th of the capital for 41​ of the total time and C invests the rest of the capital for the whole time. Find the share of B out of a total profit of Rs. 1940.

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In a partnership business, A invests $\frac{1}{6} th$ of the capital for $\frac{1}{6}$ of the total time, B invests $\frac{1}{4} th$ of the capital for $\frac{1}{4}$ of the total time and C invests the rest of the capital for the whole time. Find the share of B out of a total profit of $Rs. 1940$ .