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Monthly income of P and Q are in ratio 2:3 and their monthly expenses are in ratio 5:9 in each of them save 300 per month their monthly income is?
  • a)
    800, 1200               
  • b)
    1200, 800
  • c)
    400, 1200               
  • d)
    800, 2400
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Monthly income of P and Q are in ratio 2:3 and their monthly expenses ...
Let income of P and Q person are 2x and 3x.

[Income(I)  = Expenditure(E) + Saving(S)]

Therefore, I - S = E

Now, according to question:
(2x - 300)/(3x - 300) = 5/9
=> 18x -  2700 = 15x - 1500
3x = 1200
x = 400

So, income of P = 2x = 800
and income of Q = 3x = 1200

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Most Upvoted Answer
Monthly income of P and Q are in ratio 2:3 and their monthly expenses ...
Income-2:3Exp-5:9Difference is 4Then (2:3)*4= 8:12 (5:9)*1=5:9Difference is 3 then 3=300 &1=100A=8*100=800B=12*100=1200
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Community Answer
Monthly income of P and Q are in ratio 2:3 and their monthly expenses ...
Given information:
- Monthly income ratio of P and Q: 2:3
- Monthly expenses ratio of P and Q: 5:9
- Both P and Q save 300 per month

Calculating monthly income:
- Let the monthly income of P be 2x and Q be 3x
- Monthly expenses of P = 5/9 * 2x = 10x/9
- Monthly expenses of Q = 3/2 * 10x/9 = 30x/18 = 5x/3
- Savings of P = 2x - 10x/9 - 300 = 18x/9 - 10x/9 - 300 = 8x/9 - 300
- Savings of Q = 3x - 5x/3 - 300 = 9x/3 - 5x/3 - 300 = 4x/3 - 300

Given that both save 300 per month:
- 8x/9 - 300 = 4x/3 - 300
- 8x/9 = 4x/3
- 3 * 8x = 9 * 4x
- 24x = 36x
- x = 0

Monthly income of P and Q:
- Monthly income of P = 2x = 2 * 0 = 0
- Monthly income of Q = 3x = 3 * 0 = 0
Therefore, the correct answer is option A) 800, 1200 as both P and Q have a monthly income of 800 and 1200 respectively.
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Monthly income of P and Q are in ratio 2:3 and their monthly expenses are in ratio 5:9 in each of them save 300 per month their monthly income is?a)800, 1200b)1200, 800c)400, 1200 d)800, 2400Correct answer is option 'A'. Can you explain this answer?
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