NCHMCT JEE 2020 Question Paper with solutions for online practice

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Question : 82 of 200

Marks: +1, -0

A sum of र 7000 is divided among

A, B, C

in such a way that the shares of

A

and

B

are in the ratio

2: 3

and those of

B

and

C

are in the ratio

4: 5

. The share of

B

is

₹ 2400
₹ 3000
₹ 1600
₹ 2000

Solution:

Given, total money

=

₹ 7000 and

A: B \;\; =2: 3

B: C= 4: 5

\;\text " Then, "\; A: B: C=2 × 4: 4 × 3: 3 × 5=8: 12: 15

Let A's share

=8 x

B^{'} s

share

=12 x

C^{'} s

share

=15 x

Then,

8 x+12 x+15x=7000

⇒ \;\; 35 x=7000

or

\;\; x=200

Hence,

B

's share

=12 x

=12 × 200=\underset{2}

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