A and B started a business in partnership with the investment of Rs. 4,000 and 6,000 respectively. If at the end of the year total profit is Rs. 2,250, what will each of them get?
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Answer:
8 months
Step-by-step explanation:
Given:
Investment of A = Rs. 4000
Investment of B = Rs. 6000
Investment of C = Rs. 5000
Profit of A = Rs. 240
Profit of C = Rs. 100
Concept used:
Profit = Investment × Time
Calculation:
C joins them after x months
So, C invests for (12 - x) months
Ratio of profit of A, B and C = 4000 × 12 : 6000 × 12 : 5000 × (12 - x)
⇒ 48 : 72 : (60 - 5x)
Let the profit of A, B and C be 48y, 72y, (60 - 5x)y respectively.
According to question:
48y = 240
⇒ y = 5
Now,
Profit of C = (60 - 5x)y = (60 - 5x)5 = 300 - 25x
Now, 300 - 25x = 100
⇒ 25x = 300 - 100
⇒ 25x = 200
⇒ x = 8 months
∴ Value of x is 8 months
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