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Directions: In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option.The ratio of P’s income to Q’s income is 4 : 5 and the difference between their income are Rs 20,000.Quantity A: P saves 30% of his income then what is his expenditure?Quantity B: Q spends 45% of his income then what is his saving?1. Quantity A ≥ Quantity B2. Quantity A ≤ Quantity B3. Quantity A = Quantity B or no relationship can be established4. Quantity A > Quantity B5. Quantity A < Quantity B

Answer» Correct Answer - Option 4 : Quantity A > Quantity B

Calculation:

Let P’s income be 4x and Q’s income be 5x.

∴ According to the question

⇒ 5x – 4x = 20,000

⇒ x = 20,000

∴ P’s income = 80,000

∴ Q’s income = 1,00,000

Quantity A:

P’s expenditure = 70% of 80,000

⇒ 56,000

Quantity B:

Q’s saving = 55% of 1,00,000

⇒ 55,000

Quantity A > Quantity B


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