NIFT UG 2017 Question Paper with solutions

Question : 48 of 150

Marks: +1, -0

Three partners A, B, C shared their profit in the ratio 4 : 5 : 6. If A partnered for 10 months, B partnered for 15 months and C partnered for 16 months, what is the ratio of their investments?

$6:7:9$
$27:20:15$
$48:40:45$
$40:75:96$

Validate

Solution:

Let they invested ₹ x, ₹ y and ₹ z for 10 months, 15 months and 16 months

10x:15y:16z=4:5:6

⇒{10x}/{15y}=4/5

∴y={50x}/60={5x}/6

Again

{10x}/{16z}=4/6

∴z={60x}/64={15x}/16

∴x:y:z=x:{5x}/6:{15x}/16

=48:40:45.

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