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## Explanation

A, B and C enter into a partnership in the ratio 7/2 : 4/3 : 6/5.

After 4 months, A increases his share by 50%.

A : B : C = 7/2 : 4/3 : 6/5 multiplying it with suitable number alters it utterly (A : B : C = 105 : 40 : 36).

For first 4 months and next 8 months; A’s investment will be 420 and 1260 respectively (total investment of A = 1680)

480 and 432 will be the require investment of B and C for 12 months.

Now, ratio of profit equals ratio of investment (A : B : C = 1680 : 480 : 432); total profit is given (21600), so required share of B would be;

B’s share in profit = (B’s ratio of investment x total profit)/total ratio

## To Find

B’s share in profit = ?

## Solution

Given ratio of investment of A, B and C = 7/2 : 4/3 : 6/5

A : B : C = 105 : 40 : 36

After 4 months A increases his share by 50%.

For first 4 months = 105 x 4 = 420

For next 8 months;

50% of 105 = 52.5

Total investment of A for next 8 months = (105 + 52.5) x 8 = 157.5 x 8 = 1260

Total investment of A for 12 months = 420 + 1260 = 1680

Investment of B for 12 months = 40 x 12 = 480

Investment of C for 12 months = 36 x 12 = 432

A : B : C = 1680 : 480 : 432

A ; B : C = 35 : 10 : 9 (35 + 10 + 9 = 54)

B’s share in profit = (10 x 21600)/54 = **Rs.** **4000** **answer**

## Conclusion

A, B and C enter into a partnership in the ratio 7/2 : 4/3 : 6/5. After 4 months, A increases his share by 50%. If the total profit at the end of the one year be Rs. 21600, then B’s share in the profit is Rs. 4000.