A,B and C started a business with the capital of Rs 6000,Rs 8000 and Rs 9000 respectively. After few months A invests Rs 3000 more in the business. At the end of the year they gained Rs 30,000 and C got Rs 10,800 as share of profit. When did A invests Rs 3000 more?
Answers
Given : A,B and C started a business with the capital of Rs 6000,Rs 8000 and Rs 9000 respectively
After few months A invests Rs 3000 more in the business.
At the end of the year they gained Rs 30,000 and C got Rs 10,800 as share of profit.
To Find When did A invests Rs 3000 more
Solution:
Let say A invest Rs 3000 after m months
A investment = 6000 x 12 + 3000(12 - m) = 108000 - 3000m
B investment = 8000 x 12 = 96000
C investment = 9000 x 12 = 108000
Total investment = 108000 - 3000m + 96000 + 108000
= 312000 - 3000m
C investment / Total investment = C Profit / Total profit
=> (108000)/(312000 - 3000m) = 10800/30000
=> 300000 = 312000 - 3000m
=> 300 = 312 - 3m
=> 100 = 104 - m
=> m = 4
A invests Rs 3000 more after 4 months
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Answer:
Given:
Invested amount of A = Rs. 8000
Invested amount of B = Rs. 10000
Invested amount of C = Rs. 12000
B got = 25% of profit
Share of B = Rs. 4900
Calculation:
Investment ratio = 4 : 5 : 6
Let, the total profit amount = Rs. 100x
After giving the extra profit amount to B for management, remaining profit amount = 100x ─ (100x × 25%) = 75x
After dividing the remaining profit amount into the investment ratio,
Total share of B = 75x × (5/15) + 25x
According to the question,
⇒ 75x × (5/15) + 25x = 4900
⇒ x = 98
∴ Total profit amount = 100x = 100 × 98 = 9800
∴ Total share of A and C together = (9800 - 4900) = Rs. 4900