Question

g) Four businessmen invested a sum of Rs 2,50,000 in the ratio of 3:5:7:10 to start
a new business.
(i) Find the sum invested by each of them.
At the end of the year, if they gained Rs 50,000, divide the profit among
them in the ratio of their shares.​

Answer 1

Answer:

i) 30000, 50000, 70000, 100000

ii) 6000, 10000, 14000, 20000

Step-by-step explanation:

i)

Ratio = 3:5:7:10

Let their investments be 3x, 5x, 7x, and 10x.

3x + 5x + 7x + 10x = 2,50,000

or, 25x = 2,50,000

or, x = 2,50,000/25

or, x = 10,000

or, 3x = 3 × 10,000 = 30,000

or, 5x = 5 × 10,000 = 50,000

or, 7x = 3 × 10,000 = 70,000

or, 10x = 3 × 10,000 = 1,00,000

ii)

Profit (y) = 50,000

3/25 y = 50,000 × 3/25 = 2,000 × 3 = 6,000

5/25 y = 50,000 × 3/25 = 2,000 × 5 = 10,000

7/25 y = 50,000 × 7/25 = 2,000 × 7 = 14,000

10/25 y = 50,000 × 10/25 = 2,000 × 10 = 20,000

Hope it helps :)