Question

A,B,C started a business. A invested 2/5th of the capital for 8 months,B invested 1/5th of the capital for 9 months and c invests rest of the 12 months.if total profit after 12 months be 24500.C's share?​

Answer 1

Answer:

1560₹

Step-by-step explanation:

Total investment = Rs.x(let)

A's investment = Rs.x/5

(B + C)'s investment = x - x/5

= Rs.4x/5 -----(1)

B's investment

= x/5 - C's investment

(B - C)'s investment

= Rs.x/5 -----(2)

On adding both equations,

2 x B's investment

= Rs.(4x/5 + x/5) = Rs.x

=> B's imvestment = Rs.x/2

From equation (1)

=> C's investment

= Rs.(4x/5 - x/2)

= Rs.(8x - 5x/10) = Rs.3x/10

Ratio of profit sharing

= x/5 : x/2 : 3x/10

= 2 : 5 : 3

C's share = 3/10 x 5200

= Rs.1560