Question

A, B and C started a business with investment of Rs 1,600 , Rs 2,000 and Rs 1,800 respectively. After 6 months from the start of the business A invested Rs 200 more .After 8 months from the start of the business B and C invested additional amount in the ratio of 4:1. If they received an annual profit of Rs 3780 and A's share in the profit of Rs 10810 , what was the additional amount that. C invested ?​

Answer 1

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Ratio of the equivalent capitals of A, B and C for 1 month

= (1600 x 6 + 1800 x 6) : (C2000 x 8) + (2000 + 4x)4) : (1800 x 8 + (1800 + x) x 4)

= (9600 + 10800) : (16000 + 8000 + 16x) : (14400 + 7200 + 4x)

= 20400 : 24000 + 16x : 21600 + 4x = 5100 : 6000 + 4x : 5400 + x

= 5100 + 6000 + 4x + 5400 + x

= 16500 + 5x

5100/16500 + 5x x 3780 = 1080

=> 1700 x 378/16500 + 5x = 36

=> 340 x 378/3300 + x = 36

=> 3300 + x = 3570

=> x = 3570 - 3300

=> x = Rs.270