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MAT Exam 2021 Paper

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Question : 111 of 200

Marks: +1, -0

Harris invested ₹ 40000 in two different ventures

A

B

. The yearly return on

B

was 12\% and the yearly return on A was 8\%. If the total return was ₹ 4000, how much did Harris invest in

B

?

₹ 8000
₹20000
₹ 14000
₹22000

Solution:

Concept:

Use simple interest for one year to form an equation based on total investment and total return.

Explanation:

Let Harris invest

₹x

in venture

B

.

Then, investment in venture

A

is

₹(40000 - x)

.

Yearly return from

B

is

12\%

of

x

:

\frac{12x}{100}

.

Yearly return from

A

is

8\%

of

(40000 - x)

:

\frac{8(40000 - x)}{100}

.

Total return is given as

₹4000

.

So,

\frac{12x}{100} + \frac{8(40000 - x)}{100} = 4000

Multiply by 100:

12x + 320000 - 8x = 400000

4x = 80000

x = 20000

Answer:

Harris invested

₹20000

in venture

B

.

Correct option: B.

₹20000

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