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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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