NCHMCT JEE 2021 Question Paper with solutions for online practice

Question : 72 of 200

Marks: +1, -0

A, B

and

C

started a business with their investment in the ratio

1: 3: 5

. After 4 months,

A

invested the same amount as before and

B

as well as

C

withdraw half of their investments. The ratio of their profits at the end of the year was

Solution:

(a) Let their initial investments be ₹

x

, ₹

3 x

and

₹ 5 x

respectively.
Ratio of their profits

=

Ratio of their investments

=(x × 4+2 x × 8):(3 x × 4+\;{3 x}/{2} × 8):(5 x × 4+\;{5 x}/{2} × 8)

=(4 x+16 x):(12 x+12 x):(20 x+20 x)

=20 x: 24 x: 40 x=5: 6: 10

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