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?
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
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