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A, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?
- a)Rs. 420
- b)Rs. 400
- c)Rs. 440
- d)Rs. 450
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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A, B and C start a business in partnership with initial investments of...
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A, B and C start a business in partnership with initial investments of...
Initial Investments
- A: Rs. 4200
- B: Rs. 3600
- C: Rs. 2400
Adjustments in Investment
- After 4 months, A adds Rs. 1000.
- B and C invest after 6 months in the ratio 1:2.
Calculating Time-Weighted Investments
- A's Investment Duration:
- 4200 for 10 months → 42000
- 1000 for 6 months → 6000
- Total for A: 42000 + 6000 = 48000
- B's Investment Duration:
- 3600 for 10 months → 36000
- Let B's additional investment be Rs. x for 4 months → 4x
- Total for B: 36000 + 4x
- C's Investment Duration:
- 2400 for 10 months → 24000
- C's additional investment is Rs. 2x (since B and C invest in the ratio 1:2) for 4 months → 8x
- Total for C: 24000 + 8x
Total Investment Calculation
- A's total share: 48000
- B's total share: 36000 + 4x
- C's total share: 24000 + 8x
Profit Distribution
- Total profit = Rs. 2820
- A's share = Rs. 1200
- Remaining profit for B and C = 2820 - 1200 = Rs. 1620
Setting Up the Equation
- A's ratio: 48000
- B's ratio: 36000 + 4x
- C's ratio: 24000 + 8x
- Total ratio = 48000 + (36000 + 4x) + (24000 + 8x) = 108000 + 12x
- A's Share Ratio:
\[
\frac{48000}{108000 + 12x} = \frac{1200}{2820}
\]
Simplifying the Equation
- Cross-multiply and solve for x:
\[
48000 \cdot 2820 = 1200 \cdot (108000 + 12x)
\]
- After solving, we find \(x = Rs. 400\).
Conclusion
- The additional investment made by B is Rs. 400.
- A: Rs. 4200
- B: Rs. 3600
- C: Rs. 2400
Adjustments in Investment
- After 4 months, A adds Rs. 1000.
- B and C invest after 6 months in the ratio 1:2.
Calculating Time-Weighted Investments
- A's Investment Duration:
- 4200 for 10 months → 42000
- 1000 for 6 months → 6000
- Total for A: 42000 + 6000 = 48000
- B's Investment Duration:
- 3600 for 10 months → 36000
- Let B's additional investment be Rs. x for 4 months → 4x
- Total for B: 36000 + 4x
- C's Investment Duration:
- 2400 for 10 months → 24000
- C's additional investment is Rs. 2x (since B and C invest in the ratio 1:2) for 4 months → 8x
- Total for C: 24000 + 8x
Total Investment Calculation
- A's total share: 48000
- B's total share: 36000 + 4x
- C's total share: 24000 + 8x
Profit Distribution
- Total profit = Rs. 2820
- A's share = Rs. 1200
- Remaining profit for B and C = 2820 - 1200 = Rs. 1620
Setting Up the Equation
- A's ratio: 48000
- B's ratio: 36000 + 4x
- C's ratio: 24000 + 8x
- Total ratio = 48000 + (36000 + 4x) + (24000 + 8x) = 108000 + 12x
- A's Share Ratio:
\[
\frac{48000}{108000 + 12x} = \frac{1200}{2820}
\]
Simplifying the Equation
- Cross-multiply and solve for x:
\[
48000 \cdot 2820 = 1200 \cdot (108000 + 12x)
\]
- After solving, we find \(x = Rs. 400\).
Conclusion
- The additional investment made by B is Rs. 400.
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A, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect 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 start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect 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 start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
A, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect 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 start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect 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 start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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