A, B and C start a business with investing the capital of Rs 1,500, 1,200 and 1,800 respectively. After 5 months, A invests additional amount of Rs. 1000 and B and C after 4 and 6 months respectively invest the additional mount in the ratio of 2:3. If the share of A from the total profit of Rs. 3,730 at the end of the year is Rs. 1,250. Then find out the additional amount invested by C?

Solution

Ratio of capital invested by B and C = 2:3 Let the capital invested by B and C be 2x and 3x respectively. A , B and C’s share in the profit = capital invested by them x time A’s share = Rs. 1,250 ∴ B and C’s share = 3,730 - 1,250 = Rs. 2,480 A’s profit = 1,500 × 5 + 2,500 × 7 = Rs. 25,000 B’s profit = 1200 × 4 + (1200 + 2x) 8 = 4,800 + 9,600 + 16 x = 14,400 + 16x C’s profit = 1800 × 6 + (1800 + 3x) 6 = 10,800 + 10,800 + 18 x = 21,600 + 18x (A's share in profit )/((B+C )'s share in profit ) = (1,250 )/(2,480 ) ⇒ (25,000 )/((14,400 + 16x) +(21,600 + 18x) )=(125 )/(248 ) ⇒ (25,000 )/((36,000 + 34 x) )=(125 )/(248 ) ⇒ 125 (36,000 + 34 x) = 248 × 25,000 ⇒ 4500000 + 4250 x = 6200000 ⇒ 4250 x = 6200000 - 4500000 ⇒ x = (1700000 )/(4250 ) = Rs. 400 Hence C's aditional amount = 3x = Rs. 1200