Question

P, q, and r enter into a partnership with investments in the ratio 3:4:9. If at the end of the year, q's share of profit is rs.6175, what is the total profit?

Answer 1

Partnership:

p : q : r  = 3 : 4  : 9

Define x:

Let x be the constant ratio

p : q : r  = 3x : 4x  : 9x

Solve x:

Given that q's share is Rs 6175

4x = 6175

x = 6175 ÷ 4 = Rs 1543.75

Find the total shares:

3x + 4x + 9x = 16x

16x = 16(1543.75) = Rs 24700

Answer: Total profit = Rs 24700

Answer 2

Given:

p, q, r partnership.

Partnership ratio = 3 : 4 : 9

q's share = 6175 rupees.

To find:

The total profit.

Solution:

To find one share,

For q,

4x = 6175

x = 6175/4

Hence, The share of one part is 1543.75 Rupees

To find the total shares,

3x + 4x + 9x

16(1543.75)

Total profit = 24700 Rupees

Hence, P, q, and r enter into a partnership with investments in the ratio 3:4:9. If at the end of the year, q's share of profit is rs.6175, what is the total profit is 24700 Rupees.