1. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest 5,000 for 6 months, B, 7,000 for 3 months and C, 9,000 for 2 months. C wants to be the working member for which he was to receive 3% of the profits. The profit earned was 2,300. Calculate the share of A in the profit.
Solution:
C receives 3% from the profit = 2,300*(3/100) = 69.
Now the profit will be 2,300-69 = 2231.
Their ratio is 5000*6: 7000*3: 9000*2
10: 7: 6
By adding these ratios, we get 23.
A’s share in the profit 2231 = 10/23 *(2231)
= 970.
2. A and B started a business investing in the ratio of 5:6. C joined them after 6 months investing an amount equal to that of B’s. At the end of the year, 20% profit was earned which was equal to 98,000. What was the amount invested by C?
Solution:
Let the profit be x.
20% of the profit = 98,000 = 20/100 * (x)
x = 4,90,000
A+B+C = 4,90,000*12
(5x*12)+ (6X*12)+ (6X*6) = 4,90,000*12
By simplifying, we get
x =35,000.
C’s investment = 6x = 6(35,000) = 2,10,000.
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