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The monthly incomes of X and Y are in the ratio of 4:3 and their monthly expenses are in the ratio of 3:2. However, each saves Rs. 6,000 per month. What is their total monthly income?

  • a)
    Rs. 28,000

  • b)
    Rs. 42,000

  • c)
    Rs. 56,000

  • d)
    Rs. 84,000

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The monthly incomes of X and Y are in the ratio of 4:3 and their month...
Let's assume the monthly incomes of X and Y are 4x and 3x respectively, and their monthly expenses are 3y and 2y respectively. We are given that each person saves Rs. 6,000 per month.

1. Calculate the savings of X and Y:
The savings of X can be calculated as (4x - 3y) = 6000
The savings of Y can be calculated as (3x - 2y) = 6000

2. Solve the above equations simultaneously:
We can solve these two equations to find the values of x and y.
4x - 3y = 6000 ...(1)
3x - 2y = 6000 ...(2)

Multiply equation (1) by 2 and equation (2) by 3 to eliminate y:
8x - 6y = 12000 ...(3)
9x - 6y = 18000 ...(4)

Subtract equation (3) from equation (4):
(9x - 6y) - (8x - 6y) = 18000 - 12000
x = 6000

Substitute the value of x in equation (1) to find y:
4(6000) - 3y = 6000
24000 - 3y = 6000
-3y = 6000 - 24000
-3y = -18000
y = 6000

3. Calculate their total monthly income:
The total monthly income of X and Y can be calculated as:
Total Income = Income of X + Income of Y
= 4x + 3x
= 7x
= 7 * 6000
= Rs. 42,000

Therefore, their total monthly income is Rs. 42,000.

Hence, option B, Rs. 42,000, is the correct answer.
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Community Answer
The monthly incomes of X and Y are in the ratio of 4:3 and their month...
Since expenses and Savings are correlated
Therefore income of:
X=6000×4=24000
Y=6000×3=18000
x+y =24000+18000=42000(that is option 'B' is the right answer
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