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A and B started a business and the investment of A is 12.5% less than the investment of B. If the investment period of A and B is 2 years and x months and at the end of the business, the total profit of the business is Rs.22000 and the profit share of A is 75% more than that of B, then find the value of x.
  • a)
    10
  • b)
    8
  • c)
    14
  • d)
    12
  • e)
    16
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A and B started a business and the investment of A is 12.5% less than ...


Given Data:
- Investment of A is 12.5% less than the investment of B
- Total profit of the business is Rs.22000
- Profit share of A is 75% more than B
- Investment period of A and B is 2 years and x months

Calculations:
Let the investment of B be Rs. 100
Then the investment of A = Rs. 100 - 12.5% of Rs. 100 = Rs. 87.5

Profit sharing:
- Profit share of A = 75% more than B
- Profit share of A = 100 + 75% of 100 = Rs. 175
- Profit share of B = Rs. 100

Profit sharing ratio:
- A:B = 175:100 = 7:4

Profit sharing amount:
- Total profit = Rs. 22000
- A's share = (7/11) * 22000 = Rs. 14000
- B's share = (4/11) * 22000 = Rs. 8000

Investment period:
Given that the investment period is 2 years and x months.

Calculating x:
I. A's investment for 2 years = 2 * Rs. 87.5 = Rs. 175
II. B's investment for 2 years = 2 * Rs. 100 = Rs. 200

Since A's investment is for 2 years and x months, the ratio of their investments will be:
175 : 200 = 7 : 8

Therefore, the value of x is 8 months.

Hence, the answer is option (b) 8.
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Community Answer
A and B started a business and the investment of A is 12.5% less than ...
Profit share of A and B = 175:100 = 7:4
Investment of A and B = 87.5:100 = 7:8
Profit = Investment * Time
Time = Profit / Investment
A:B = 7/7 : 4/8
A/B = 2/1
A = 24 months
So, B = 12 months
x = 12 months
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