Nehru Ji had 'n' chocolates. He distributed them among 4 children in the ratio 1/2 : 1/3

Nehru Ji had 'n' chocolates. He distributed them among 4 children in the ratio 1/2 : 1/3
Posted on 02-02-2023

Ques - Nehru Ji had 'n' chocolates. He distributed them among 4 children in the ratio 1/2 : 1/3 : 1/5 : 1/8. If he gave them each one a complete chocolate, the minimum number of chocolates that he had :

(a) 139

(b) 240

(c) 278

(d) None of these

Solution - 

Given,

Nehru Ji had 'n' chocolates.

He distributed them among 4 children in the ratio 1/2 : 1/3 : 1/5 : 1/8.

Take,

L.C.M of 2,3,5,8 = 120

Therefore,

The ratio = 1/2 : 1/3 : 1/5 : 1/8

Now,

= 1/2(120)

= 60

= 1/3(120)

= 40

= 1/5(120)

= 24

= 1/8(120)

= 15

Therefore,

The minimum number of chocolates = 60  + 40 + 24 + 15

= 139

Hence,

The correct option is (a) 139. 

Thank You