NIFT UG 2019 Question Paper with solutions

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Question : 5 of 150

Marks: +1, -0

A sum of

₹ 221

is divided among

X, Y

and

Z

such that

X

gets

₹ 52

more than

Y . Y

gets

₹ 26

more than

Z

. The ratio of the shares of

X, Y

and

Z

respectively is

$9: 5: 3$
$9: 3: 5$
$5: 9: 3$
$10: 6: 5$

Solution:

Here, 221 is divided among

X, Y

and

Z

.
Let

Z

gets

₹ a

.
Then,

Y

gets

₹(a+26)

and

X

gets

₹(a+78)

According to the question,

a+a+26+a+78=221

⇒ \;\; 3 a+104=221

⇒ \;\; 3 a=117

⇒ \;\; a=39

So, share of

Z=₹ 39

Share of

Y=₹(39+26)=₹ 65

Share of

X=39+78=₹ 117

∴

Required ratio

=117: 65: 39=9: 5: 3

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