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A started a business by investing Rs. 50000. After 6 months B joined her by investing Rs. 75000. After its 6 months C joined with Rs. 125000. What is the ratio of profit share after 2 year among A, B and C ?
- a)4 : 5 : 6
- b)8 : 9 : 10
- c)8 : 9 : 12
- d)4 : 5 : 8
Correct answer is option 'B'. Can you explain this answer?
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To find the ratio of profit share among A, B, and C, we need to calculate the profit earned by each individual. Let's break down the solution step by step.
Step 1: Calculate the total investment
The total investment in the business is the sum of the individual investments made by A, B, and C.
Total Investment = A's investment + B's investment + C's investment
Total Investment = Rs. 50000 + Rs. 75000 + Rs. 125000
Total Investment = Rs. 250000
Step 2: Calculate the profit for each individual
The profit earned by each individual is proportional to their investment and the time period for which they have invested. In this case, A has invested for 2 years, B has invested for 1.5 years (6 months + 1 year), and C has invested for 1 year (6 months + 6 months).
Profit of A = (A's investment * A's time period) / Total Investment
Profit of A = (Rs. 50000 * 2) / Rs. 250000
Profit of A = Rs. 40000
Profit of B = (B's investment * B's time period) / Total Investment
Profit of B = (Rs. 75000 * 1.5) / Rs. 250000
Profit of B = Rs. 45000
Profit of C = (C's investment * C's time period) / Total Investment
Profit of C = (Rs. 125000 * 1) / Rs. 250000
Profit of C = Rs. 50000
Step 3: Find the ratio
Now, we can find the ratio of profit share among A, B, and C by dividing their respective profits with the smallest profit (Profit of A in this case).
Ratio of profit share = (Profit of A : Profit of B : Profit of C)
= (40000 : 45000 : 50000)
= (8 : 9 : 10)
Therefore, the correct answer is option 'B' which is 8 : 9 : 10.
Step 1: Calculate the total investment
The total investment in the business is the sum of the individual investments made by A, B, and C.
Total Investment = A's investment + B's investment + C's investment
Total Investment = Rs. 50000 + Rs. 75000 + Rs. 125000
Total Investment = Rs. 250000
Step 2: Calculate the profit for each individual
The profit earned by each individual is proportional to their investment and the time period for which they have invested. In this case, A has invested for 2 years, B has invested for 1.5 years (6 months + 1 year), and C has invested for 1 year (6 months + 6 months).
Profit of A = (A's investment * A's time period) / Total Investment
Profit of A = (Rs. 50000 * 2) / Rs. 250000
Profit of A = Rs. 40000
Profit of B = (B's investment * B's time period) / Total Investment
Profit of B = (Rs. 75000 * 1.5) / Rs. 250000
Profit of B = Rs. 45000
Profit of C = (C's investment * C's time period) / Total Investment
Profit of C = (Rs. 125000 * 1) / Rs. 250000
Profit of C = Rs. 50000
Step 3: Find the ratio
Now, we can find the ratio of profit share among A, B, and C by dividing their respective profits with the smallest profit (Profit of A in this case).
Ratio of profit share = (Profit of A : Profit of B : Profit of C)
= (40000 : 45000 : 50000)
= (8 : 9 : 10)
Therefore, the correct answer is option 'B' which is 8 : 9 : 10.
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A started a business by investing Rs. 50000. After 6 months B joined her by investing Rs. 75000. After its 6 months C joined with Rs. 125000. What is the ratio of profit share after 2 year among A, B and C ?a)4 : 5 : 6b)8 : 9 : 10c)8 : 9 : 12d)4 : 5 : 8Correct answer is option 'B'. Can you explain this answer?
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A started a business by investing Rs. 50000. After 6 months B joined her by investing Rs. 75000. After its 6 months C joined with Rs. 125000. What is the ratio of profit share after 2 year among A, B and C ?a)4 : 5 : 6b)8 : 9 : 10c)8 : 9 : 12d)4 : 5 : 8Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A started a business by investing Rs. 50000. After 6 months B joined her by investing Rs. 75000. After its 6 months C joined with Rs. 125000. What is the ratio of profit share after 2 year among A, B and C ?a)4 : 5 : 6b)8 : 9 : 10c)8 : 9 : 12d)4 : 5 : 8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A started a business by investing Rs. 50000. After 6 months B joined her by investing Rs. 75000. After its 6 months C joined with Rs. 125000. What is the ratio of profit share after 2 year among A, B and C ?a)4 : 5 : 6b)8 : 9 : 10c)8 : 9 : 12d)4 : 5 : 8Correct answer is option 'B'. Can you explain this answer?.
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