Question

A, B and C started a business. A and B invest in the ratio of 3 ∶ 7 and C invests Rs 8,000, which is the same amount as the difference between the investments of A and B. What is the amount invested by B?

• A. Rs. 10000
• B. Rs. 12000
• C. Rs. 14000
• D. Rs. 6000

Answer 1

Answer:

C. Rs. 14000

Given:

A and B invest in the ratio of 3 ∶ 7 and C invests Rs 8,000, which is the same amount as the difference between the investments of A and B.

Concept:

Investment of A - Investment of B = Investment of C

Solution:

Let the amount invested by A is Rs. A and amount invested by B is Rs. B

A : B = 3 : 7

A=$\frac{3}{7}$B

Now,

Investment of A - Investment of B = Investment of C = Rs. 8000

$\frac{3}{7}B-B=8000$

$\frac{-4B}{7}=8000$

$B=-14000$

Since money can't be negative, so neglecting the negative sign we will have

B = Rs. 14000