Question

11. 6200 divided into three parts proportional to 1/2 :1/3 :1/5 are

respectively

(1) 3000, 2000, 1200 (2) 3500, 1500, 1200 (3) 2500, 2000, 1700 (4)

2200, 3000, 1000​

Answer 1

The three parts are 3000, 2000 and 1200 respectively. The correct option is (1) 3000, 2000, 1200.

Given:

6200 divided into three parts are proportional to 1/2 : 1/3 : 1/5.

To Find:

The value of the three parts.

Solution:

→ 6200 is divided into three parts.

→ The three parts are proportional to 1/2 : 1/3 : 1/5.

∴ We can assume the three parts to be x/2 , x/3 and x/5 respectively.

∵ The sum of these three parts would be equal to 6200.

                                $\boldsymbol{\therefore \frac{x}{2} +\frac{x}{3} +\frac{x}{5} =6200}\\\\\boldsymbol{\therefore \frac{15x+10x+6x}{30}=6200 }\\\\\boldsymbol{\therefore \frac{31x}{30}=6200 }\\\\\boldsymbol{\therefore x= \frac{30\times6200}{31} }\\\\\boldsymbol{\therefore x= 30\times200}\\\\\boldsymbol{\therefore x= 6000}$

→ Therefore x/2 , x/3 and x/5 would be equal to 3000, 2000 and 1200 respectively.

Therefore the three parts are 3000, 2000 and 1200 respectively. Hence the correct option is (1) 3000, 2000, 1200.

#SPJ1