Question

Gokarna,sandesh and sangita invested a sum of rs 150000on a business in the ratio ofb3:4:5 find the sum invested by them

Answer 1

Answer

In this question, we are given with the ratio of money invested by three people. We are also given with the total money invested by all of them. We should find the sum invested by them separately.

According to the question,

$\sf \dashrightarrow 3 : 4 : 5 = 150000$

Let the money invested by Gokarna be 3x.

Let the money invested by Sandesh be 4x.

Let the money invested by Sangita be 5x.

$\sf \dashrightarrow 3x + 4x + 5x = 150000$

$\sf \dashrightarrow 3x + 9x = 150000$

$\sf \dashrightarrow 12x = 150000$

$\sf \dashrightarrow x = \dfrac{150000}{12}$

$\sf \dashrightarrow x = 12500$

Now, we can find the money invested by each of them.

Money invested by Gokarna :

$\sf \dashrightarrow 3x = 3(12500)$

$\dashrightarrow$₹$\sf 37500$

Money invested by Sandesh :

$\sf \dashrightarrow 4x = 4(12500)$

$\dashrightarrow$₹$\sf 50000$

Money invested by Sangita :

$\sf \dashrightarrow 5x = 5(12500)$

$\dashrightarrow$₹$\sf 62500$

Hence, the money invested by Gokarna, Sandesh and Sangita is 37500, 50000 and 62500 rupees respectively.