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The income of Vinay and Prakash are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 5000, then find their income.
- a)7500, 10000
- b)12500, 10000
- c)10000, 12500
- d)12500, 7500
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The income of Vinay and Prakash are in the ratio of 4:5 and their expe...
4x – 2y = 5000 and 5x – 3y = 5000.
X = 2500, so income = 10000 and 12500.
X = 2500, so income = 10000 and 12500.
Most Upvoted Answer
The income of Vinay and Prakash are in the ratio of 4:5 and their expe...
Given information:
- The income of Vinay and Prakash are in the ratio of 4:5.
- Their expenditure is in the ratio of 2:3.
- Each of them saves 5000.
Let's assume the income of Vinay and Prakash as 4x and 5x respectively.
Similarly, let's assume the expenditure of Vinay and Prakash as 2y and 3y respectively.
According to the given information, we can write the following equations:
4x - 2y = 5000 ----(1) (Vinay's savings)
5x - 3y = 5000 ----(2) (Prakash's savings)
To solve these equations, we can use the method of substitution or elimination.
Using elimination method:
Multiply equation (1) by 3 and equation (2) by 2 to eliminate 'y':
12x - 6y = 15000 ----(3)
10x - 6y = 10000 ----(4)
Subtract equation (4) from equation (3):
(12x - 6y) - (10x - 6y) = 15000 - 10000
2x = 5000
x = 2500
Substitute the value of x in equation (1) to find y:
4(2500) - 2y = 5000
10000 - 2y = 5000
-2y = 5000 - 10000
-2y = -5000
y = 2500
So, the income of Vinay is 4x = 4(2500) = 10000 and the income of Prakash is 5x = 5(2500) = 12500.
Therefore, the correct answer is option C) 10000, 12500.
- The income of Vinay and Prakash are in the ratio of 4:5.
- Their expenditure is in the ratio of 2:3.
- Each of them saves 5000.
Let's assume the income of Vinay and Prakash as 4x and 5x respectively.
Similarly, let's assume the expenditure of Vinay and Prakash as 2y and 3y respectively.
According to the given information, we can write the following equations:
4x - 2y = 5000 ----(1) (Vinay's savings)
5x - 3y = 5000 ----(2) (Prakash's savings)
To solve these equations, we can use the method of substitution or elimination.
Using elimination method:
Multiply equation (1) by 3 and equation (2) by 2 to eliminate 'y':
12x - 6y = 15000 ----(3)
10x - 6y = 10000 ----(4)
Subtract equation (4) from equation (3):
(12x - 6y) - (10x - 6y) = 15000 - 10000
2x = 5000
x = 2500
Substitute the value of x in equation (1) to find y:
4(2500) - 2y = 5000
10000 - 2y = 5000
-2y = 5000 - 10000
-2y = -5000
y = 2500
So, the income of Vinay is 4x = 4(2500) = 10000 and the income of Prakash is 5x = 5(2500) = 12500.
Therefore, the correct answer is option C) 10000, 12500.
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The income of Vinay and Prakash are in the ratio of 4:5 and their expe...
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The income of Vinay and Prakash are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 5000, then find their income.a)7500, 10000b)12500, 10000c)10000, 12500d)12500, 7500e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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