NIFT UG 2018 Question Paper with solutions

Question : 27 of 150

Marks: +1, -0

A

and

B

invest

₹ 3000

and

₹ 4000

, respectively in a business. A receives

₹ 10

per month out of the profit as a remuneration for running the business and the rest of the profit is divided in proportion to the investments. If in a year

A

totally receives

₹ 390,

what does

B

receive?

₹ 630
₹ 360
₹ 480
₹ 380

Validate

Solution:

Let the annual profit be

₹ x

.
Then,

₹(x-120)

will be distributed between

A

and

B

as their shares of profit.
Ratio of profits

=

Ratio of investments
So,

A: B=3000: 4000=3: 4

∴ A

's share

=120+(x-120) × \;{3}/{7}

⇒ 120+(x-120) × \;{3}/{7}=390

⇒(x-120) × \;{3}/{7}=390-120=270

⇒ x-120=270 × \;{7}/{3}=₹ 630

....(i)

∴ B

's share

=\;{4}/{7} ×(x-120)

=\;{4}/{7} × 630

[from Eq. (i)]

=₹ 360

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