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A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 1,90,500, what is the share of C at the end of year?
  • a)
    Rs 45,000
  • b)
    Rs 90,000
  • c)
    Rs 58,500
  • d)
    Rs 79,600
  • e)
    Rs 65,900
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 m...
B) Rs 90,000 Explanation: Let amounts invested be 2x, 3x, 5x resp.
Then ratio of profits = A : B : C
2x*2 + (120/100)*2x*10 : 3x*2 + (110/100)*3x*10 : 5x*12 28x : 39x : 60x C’s share = [60/(28+39+60)] * 190500
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A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 m...
Given data:
- A, B, and C enter into a partnership in the ratio 2:3:5.
- A increases his share by 20% after 2 months
- B increases his share by 10% after 2 months
- Total profit at the end of one year is Rs 1,90,500

To find:
- The share of C at the end of the year.

Solution:
Let us assume that the initial investment of A, B, and C is 2x, 3x, and 5x respectively.

Ratio of investment of A, B, and C = 2x : 3x : 5x = 2 : 3 : 5

Let us calculate the profit sharing ratio after A and B increase their share:
- A increases his share by 20% after 2 months. So, the new ratio of investment of A, B, and C becomes (2x * 2 + 2x * 1.2 * 10)/12 : (3x * 2 + 3x * 10% * 10)/12 : 5x/12
- Simplifying the above ratio, we get 46x/120 : 39x/120 : 35x/120 = 23 : 19.5 : 17.5

Now, let us calculate the total profit for the year:
- Total profit for the year = Profit for the first 2 months + Profit for the next 10 months for A and B + Profit for the whole year for C
- Profit for the first 2 months = (2/12) * (2x * 2 + 3x * 2 + 5x * 2) = Rs. 2x
- Profit for the next 10 months for A and B = (10/12) * (2x * 1.2 * 10/23 + 3x * 1.1 * 10/19.5) = Rs. 17x/23
- Total profit for the year = Rs. 2x + Rs. 17x/23 + Profit for the whole year for C = Rs. 1,90,500
- Profit for the whole year for C = Rs. 1,90,500 - Rs. 2x - Rs. 17x/23 = Rs. 83,000/23

Therefore, the share of C at the end of the year = (5x + Profit for the whole year for C) = (5x + Rs. 83,000/23) = Rs. 90,000 (Option B)

Hence, the answer is option B.
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Community Answer
A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 m...
B) Rs 90,000 Explanation: Let amounts invested be 2x, 3x, 5x resp.
Then ratio of profits = A : B : C
2x*2 + (120/100)*2x*10 : 3x*2 + (110/100)*3x*10 : 5x*12 28x : 39x : 60x C’s share = [60/(28+39+60)] * 190500
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A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 1,90,500, what is the share of C at the end of year?a)Rs 45,000b)Rs 90,000c)Rs 58,500d)Rs 79,600e)Rs 65,900Correct answer is option 'B'. Can you explain this answer?
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A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 1,90,500, what is the share of C at the end of year?a)Rs 45,000b)Rs 90,000c)Rs 58,500d)Rs 79,600e)Rs 65,900Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 1,90,500, what is the share of C at the end of year?a)Rs 45,000b)Rs 90,000c)Rs 58,500d)Rs 79,600e)Rs 65,900Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 1,90,500, what is the share of C at the end of year?a)Rs 45,000b)Rs 90,000c)Rs 58,500d)Rs 79,600e)Rs 65,900Correct answer is option 'B'. Can you explain this answer?.
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