Question

21 Three partners invested capital in the ratio 2:7:9. The time period for which each of them invested was in a ratio of the
reciprocals of the amount invested. Find the share of the partner who bought in the highest capital, if profit is Rs.1080.​

Answer 1

Answer:

three partners took equal share...

i.e.Rs.360.

Answer 2

Answer:

360 rupees.

Step-by-step explanation:

Given,

The ratio of the invested amount by the three partners = 2 : 7 : 9,

∵ The time period for which each of them invested was in a ratio of the reciprocals of the amount invested.

So, the ratio of their time period = 1/2 : 1/7 : 1/9

= 63 : 18 : 14,

Since, profit is jointly proportional to investment and time,

i.e P ∝ I × T

Where, I = investment, T = time,

Thus, the ratio of their profit would be,

2 × 63 : 7 × 18 : 9 × 14

= 126 : 126 : 126

= 1 : 1 : 1

Let profit of first person = x second person = x and third person = x

Where,

x is any positive real number,

Thus, total profit = x + x + x = 3x,

According to the question,

3x = 1080 ⇒ x = 360

Hence, the the share of the each partner is 360 rupees.