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In a business P and R invested amounts in the ratio 2 : 3 whereas the ratio between amount invested by P and Q was 4:2. If 2,20,500 was their profit.How much amount did R receive ?
- a)1,10,250
- b)1,10,000
- c)1,10,200
- d)1,10,150
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In a business P and R invested amounts in the ratio 2 : 3 whereas the ...
Answer – A) 1,10,250 Explanation : P : Q = 4 : 2=> Q : P = 2 : 4
P : R = 2 : 3=> 4 : 6
P : Q : R =4 : 2 : 6
R share = (6/12)×2,20,500 = 1,10,250
P : R = 2 : 3=> 4 : 6
P : Q : R =4 : 2 : 6
R share = (6/12)×2,20,500 = 1,10,250
Most Upvoted Answer
In a business P and R invested amounts in the ratio 2 : 3 whereas the ...
Answer – A) 1,10,250 Explanation : P : Q = 4 : 2=> Q : P = 2 : 4
P : R = 2 : 3=> 4 : 6
P : Q : R =4 : 2 : 6
R share = (6/12)×2,20,500 = 1,10,250
P : R = 2 : 3=> 4 : 6
P : Q : R =4 : 2 : 6
R share = (6/12)×2,20,500 = 1,10,250
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In a business P and R invested amounts in the ratio 2 : 3 whereas the ...
To solve this problem, we need to use the concept of ratios and proportions. Let's break down the given information step by step:
Step 1: Establish the ratios
- The ratio between P and R's investment is 2:3.
- The ratio between P and Q's investment is 4:2.
Step 2: Simplify the ratios
- The ratio between P and R's investment can be simplified to 2:3.
- The ratio between P and Q's investment can be simplified to 2:1.
Step 3: Calculate the total investment
- Let's assume that P invested 2x, R invested 3x, and Q invested 2y.
- The total investment can be calculated as 2x + 3x + 2y = 5x + 2y.
Step 4: Calculate the share of profit
- The share of profit will be divided based on the ratio of investments.
- P's share of profit = (2x / (5x + 2y)) * 220500
- R's share of profit = (3x / (5x + 2y)) * 220500
- Q's share of profit = (2y / (5x + 2y)) * 220500
Step 5: Solve for x and y
- We can set up two equations based on the given information:
1. (2x / (5x + 2y)) * 220500 = P's share of profit = 4/6 * 220500 = 147000
2. (2y / (5x + 2y)) * 220500 = Q's share of profit = 2/6 * 220500 = 73500
- Simplifying these equations, we get:
1. x = 220500 / 147000 = 1.5
2. y = (73500 * (5x + 2y)) / 220500
=> 2y = (73500 * (5x + 2y)) / 220500
=> 2y = (73500 * (5(1.5) + 2y)) / 220500
=> 2y = (73500 * (7.5 + 2y)) / 220500
=> 2y = (551250 + 147000y) / 220500
=> 440500y = 551250
=> y = 1.25
Step 6: Calculate R's share of profit
- R's share of profit = (3x / (5x + 2y)) * 220500
= (3(1.5) / (5(1.5) + 2(1.25))) * 220500
= (4.5 / 11.25) * 220500
= (0.4) * 220500
= 88200
Therefore, R received a profit of 88,200.
Hence, the correct answer is option A) 1,10,250.
Step 1: Establish the ratios
- The ratio between P and R's investment is 2:3.
- The ratio between P and Q's investment is 4:2.
Step 2: Simplify the ratios
- The ratio between P and R's investment can be simplified to 2:3.
- The ratio between P and Q's investment can be simplified to 2:1.
Step 3: Calculate the total investment
- Let's assume that P invested 2x, R invested 3x, and Q invested 2y.
- The total investment can be calculated as 2x + 3x + 2y = 5x + 2y.
Step 4: Calculate the share of profit
- The share of profit will be divided based on the ratio of investments.
- P's share of profit = (2x / (5x + 2y)) * 220500
- R's share of profit = (3x / (5x + 2y)) * 220500
- Q's share of profit = (2y / (5x + 2y)) * 220500
Step 5: Solve for x and y
- We can set up two equations based on the given information:
1. (2x / (5x + 2y)) * 220500 = P's share of profit = 4/6 * 220500 = 147000
2. (2y / (5x + 2y)) * 220500 = Q's share of profit = 2/6 * 220500 = 73500
- Simplifying these equations, we get:
1. x = 220500 / 147000 = 1.5
2. y = (73500 * (5x + 2y)) / 220500
=> 2y = (73500 * (5x + 2y)) / 220500
=> 2y = (73500 * (5(1.5) + 2y)) / 220500
=> 2y = (73500 * (7.5 + 2y)) / 220500
=> 2y = (551250 + 147000y) / 220500
=> 440500y = 551250
=> y = 1.25
Step 6: Calculate R's share of profit
- R's share of profit = (3x / (5x + 2y)) * 220500
= (3(1.5) / (5(1.5) + 2(1.25))) * 220500
= (4.5 / 11.25) * 220500
= (0.4) * 220500
= 88200
Therefore, R received a profit of 88,200.
Hence, the correct answer is option A) 1,10,250.
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In a business P and R invested amounts in the ratio 2 : 3 whereas the ratio between amount invested by P and Q was 4:2. If 2,20,500 was their profit.How much amount did R receive ?a)1,10,250b)1,10,000c)1,10,200d)1,10,150e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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