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BBA-DBE Bangalore 2025 PYQsQuantitative Ability. Free, no login required.

The ratio of monthly income of P to monthly income of Q is 9: 11, and P's savings are 1003\frac{100}{3} % more than Q's savings. What is the expenditure (in ₹) of P, if the sum of monthly income of P and Q is ₹2,40,000, and expenditure (in ₹) of Q is ₹84000?

Solution

✅ Correct Option: 4
  • Ratio of P's income to Q's income = 9:119:11
  • Sum of both incomes = ₹2,40,0002,40,000
  • Q's expenditure = ₹84,00084,000

Let P's income =9x=9x,

Let Q's income =11x=11x

9x+11x=2,40,0009x + 11x = 2,40,000

20x=2,40,00020x = 2,40,000

x=12,000x = 12,000

Therefore:

  • P's income = 9×12,0009 \times 12,000 = ₹1,08,0001,08,000
  • Q's income = 11×12,00011 \times 12,000 = ₹1,32,0001,32,000

Using Income = Expenditure + Savings

For Q:

Q's savings = 1,32,000−84,0001,32,000 - 84,000 = ₹48,00048,000


P's savings are 1003\dfrac{100}{3}% more than Q's savings

P's savings = Q's savings + 1003\dfrac{100}{3}% of Q's savings

P's savings = 48,000+1003×48,00010048,000 + \dfrac{100}{3} \times \dfrac{48,000}{100}

P's savings = 48,000+16,000=₹64,00048,000 + 16,000 = ₹64,000


For P:

P's expenditure = P's income - P's savings

P's expenditure = 1,08,000−64,000=₹44,0001,08,000 - 64,000=₹44,000

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