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P, Q and R invested their money in the ratio 4 : 5 : 7 respectively. The total amount invested by them was Rs. 5,90,000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5 : 7 : 9, then what was the profit (in Rs.) received by Q?
- a)66,000
- b)70,000
- c)74,000
- d)78,000
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
P, Q and R invested their money in the ratio 4 : 5 : 7 respectively. T...
GIVEN:
Total amount invested by P, Q and R = Rs. 5,90,000
Ratio of Investment of P, Q and R = 4 : 5 : 7
Profit earned = 40% of the investment.
Total amount invested by P, Q and R = Rs. 5,90,000
Ratio of Investment of P, Q and R = 4 : 5 : 7
Profit earned = 40% of the investment.
FORMULA USED:
Profit earned = 40% of the investment
Amount received by Q = Ratio of Q / Sum of the ratios × Profit earned
Profit earned = 40% of the investment
Amount received by Q = Ratio of Q / Sum of the ratios × Profit earned
CALCULATION:
Profit earned = 5,90,000 × 40/100 = Rs. 2,36,000
Ratio of shares of profit for P, Q and R = (4 × 5) : (5 × 7) : (7 × 9) = 20 : 35 : 63
Sum of the ratio = 20 + 35 + 63 = 118
∴ Q receives = 35/118 × 2,36,000 = Rs. 70,000
Profit earned = 5,90,000 × 40/100 = Rs. 2,36,000
Ratio of shares of profit for P, Q and R = (4 × 5) : (5 × 7) : (7 × 9) = 20 : 35 : 63
Sum of the ratio = 20 + 35 + 63 = 118
∴ Q receives = 35/118 × 2,36,000 = Rs. 70,000
Most Upvoted Answer
P, Q and R invested their money in the ratio 4 : 5 : 7 respectively. T...
Given information:
- Ratio of investment: P : Q : R = 4 : 5 : 7
- Total investment = Rs. 5,90,000
- Profit earned = 40% of the total investment
- Ratio of time period: P : Q : R = 5 : 7 : 9
Calculating the individual investments:
Let the investments of P, Q, and R be 4x, 5x, and 7x respectively.
According to the given ratio, the total investment is:
4x + 5x + 7x = 16x
Given that the total investment is Rs. 5,90,000, we can write the equation:
16x = 5,90,000
Solving for x:
x = 5,90,000 / 16
x = 36,875
Therefore, P's investment = 4x = 4 * 36,875 = Rs. 1,47,500
Q's investment = 5x = 5 * 36,875 = Rs. 1,84,375
R's investment = 7x = 7 * 36,875 = Rs. 2,57,625
Calculating the profit:
Total profit = 40% of the total investment
Total profit = (40/100) * 5,90,000
Total profit = Rs. 2,36,000
Calculating the profit for each individual:
Ratio of profit = Ratio of investment = 4 : 5 : 7
Let the profit earned by Q be y.
Therefore, profit earned by P = (4/16) * 2,36,000 = Rs. 59,000
Profit earned by Q = (5/16) * 2,36,000 = Rs. 73,750
Profit earned by R = (7/16) * 2,36,000 = Rs. 1,03,250
Therefore, the profit received by Q is Rs. 73,750, which is option B.
- Ratio of investment: P : Q : R = 4 : 5 : 7
- Total investment = Rs. 5,90,000
- Profit earned = 40% of the total investment
- Ratio of time period: P : Q : R = 5 : 7 : 9
Calculating the individual investments:
Let the investments of P, Q, and R be 4x, 5x, and 7x respectively.
According to the given ratio, the total investment is:
4x + 5x + 7x = 16x
Given that the total investment is Rs. 5,90,000, we can write the equation:
16x = 5,90,000
Solving for x:
x = 5,90,000 / 16
x = 36,875
Therefore, P's investment = 4x = 4 * 36,875 = Rs. 1,47,500
Q's investment = 5x = 5 * 36,875 = Rs. 1,84,375
R's investment = 7x = 7 * 36,875 = Rs. 2,57,625
Calculating the profit:
Total profit = 40% of the total investment
Total profit = (40/100) * 5,90,000
Total profit = Rs. 2,36,000
Calculating the profit for each individual:
Ratio of profit = Ratio of investment = 4 : 5 : 7
Let the profit earned by Q be y.
Therefore, profit earned by P = (4/16) * 2,36,000 = Rs. 59,000
Profit earned by Q = (5/16) * 2,36,000 = Rs. 73,750
Profit earned by R = (7/16) * 2,36,000 = Rs. 1,03,250
Therefore, the profit received by Q is Rs. 73,750, which is option B.
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P, Q and R invested their money in the ratio 4 : 5 : 7 respectively. The total amount invested by them was Rs. 5,90,000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5 : 7 : 9, then what was the profit (in Rs.) received by Q?a)66,000b)70,000c)74,000d)78,000Correct answer is option 'B'. Can you explain this answer?
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P, Q and R invested their money in the ratio 4 : 5 : 7 respectively. The total amount invested by them was Rs. 5,90,000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5 : 7 : 9, then what was the profit (in Rs.) received by Q?a)66,000b)70,000c)74,000d)78,000Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about P, Q and R invested their money in the ratio 4 : 5 : 7 respectively. The total amount invested by them was Rs. 5,90,000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5 : 7 : 9, then what was the profit (in Rs.) received by Q?a)66,000b)70,000c)74,000d)78,000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P, Q and R invested their money in the ratio 4 : 5 : 7 respectively. The total amount invested by them was Rs. 5,90,000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5 : 7 : 9, then what was the profit (in Rs.) received by Q?a)66,000b)70,000c)74,000d)78,000Correct answer is option 'B'. Can you explain this answer?.
P, Q and R invested their money in the ratio 4 : 5 : 7 respectively. The total amount invested by them was Rs. 5,90,000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5 : 7 : 9, then what was the profit (in Rs.) received by Q?a)66,000b)70,000c)74,000d)78,000Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about P, Q and R invested their money in the ratio 4 : 5 : 7 respectively. The total amount invested by them was Rs. 5,90,000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5 : 7 : 9, then what was the profit (in Rs.) received by Q?a)66,000b)70,000c)74,000d)78,000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P, Q and R invested their money in the ratio 4 : 5 : 7 respectively. The total amount invested by them was Rs. 5,90,000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5 : 7 : 9, then what was the profit (in Rs.) received by Q?a)66,000b)70,000c)74,000d)78,000Correct answer is option 'B'. Can you explain this answer?.
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