Question

A sum of Rs.1,60,000 is divided in the ratio of 3 : 5. What is the smaller share?

Answer 1

Ratio is 3:5.

Therefore,

3x and 5x.

3x + 5x = 160000

8x = 1,60,000

x = 1,60,000/8

x = 20000.

The smaller share is 3x.

Therefore, 3x = 3 * 20000
=Rs. 60000

Answer 2

Dear Student,

Answer: Smaller share is 60,000 Rs

Solution:

Total amount = 1,60,000 Rs

Ratio to divide 3:5

let the common factor of both the ratio be x.

so
$3x + 5x = 160000 \\ \\ 8x = 160000 \\ \\ x = \frac{160000}{8} \\ \\ x = 20000$
so , 1 part is
$3x = 3 \times 20000 \\ \\ = 60000$
second part is
$5x = 5 \times 20000 \\ \\ = 100000$
So,the smaller part is 60,000. Rs