Vinay started a business by investing Rs. 32000.After 2 months Vardhan joined him with some investments. At the end of the year the total profit was divided in the ratio 8:5.How much capital was invested by Vardhan ?a)Rs.30,000b)Rs.28,000c)Rs.19,000d)Rs.24,000e)None of theseCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Answer – D.Rs.24,000 Explanation : 32000*12/x*10 = 8/5 19,20,000 = 80x X = 1920000/80 = 24,000

Answer

To find out the capital invested by Vardhan, we can follow the given information and the concept of profit sharing in a partnership.

Let's break down the information given in the question:

- Vinay started the business with an initial investment of Rs. 32,000.
- After 2 months, Vardhan joined the business with some investment.
- At the end of the year, the total profit was divided in the ratio of 8:5.

Let's assume Vardhan's capital is 'x' rupees.

Now, let's calculate the profit distribution:

Since Vinay started the business and invested Rs. 32,000, he will be entitled to a share of the profit for the entire year.

Vardhan, on the other hand, joined after 2 months, so he will be entitled to a share of the profit for the remaining 10 months.

Let's calculate the profit distribution ratio:

Vinay's share = Vinay's capital * time = Rs. 32,000 * 12 = Rs. 3,84,000
Vardhan's share = Vardhan's capital * time = x * 10

According to the given ratio, Vinay's share : Vardhan's share = 8 : 5

Therefore, we can write the equation as follows:

3,84,000 : (x * 10) = 8 : 5

Now, cross-multiplying:

(3,84,000 * 5) = (8 * x * 10)

1,92,000 = 80x

Dividing both sides by 80:

x = 1,92,000 / 80

x = 2,400

Therefore, Vardhan invested Rs. 2,400 in the business.

So the correct answer is option 'D' Rs. 24,000.

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