Question

A and B invested ₹1,20,000 and ₹1,60,000 respectively. A remained for 10 months and B for 7 months. What is the total profit if B's share is ₹16,800?

• A. ₹34,800
• B. ₹34,000
• C. ₹10,000
• D. ₹10,500

Answer 1

Answer:

A. ₹34,800

Profit is divided in the ratio of investments × time.

A's share ratio

$120000 \times 10 = 1200000$

B's share ratio

$160000 \times 7 = 1120000$

So the ratio becomes:

$1200000 : 1120000 = 15 : 14$

Thus,

A:B = 15:14

B’s share ₹16800 corresponds to 14 parts.

Value of 1 part:

$\frac{16800}{14}=1200$

Total parts:

15+14=29

Total profit:

$29 \times 1200 = 34800$

Therefore, the total profit is:

=₹34,800