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The income of P and Q are in the ratio 8 ∶ 9 and their expenses are in the ratio 7 ∶ 6. If both saves Rs. 500 and Rs. 1500, then find their income?1. Rs. 8000, Rs. 90002. Rs. 5000, Rs. 60003. Rs. 4000, Rs. 45004. Rs. 6000, Rs. 7000 |
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Answer» Correct Answer - Option 3 : Rs. 4000, Rs. 4500 Given: The income of P and Q ratio = 8 ∶ 9 And expenditure ratio = 7 ∶ 6 P saves = Rs. 500 Q saves = Rs. 1500 Formula used: Income = Expenditure + saving Calculations: Let incomes 8x and 9x According to the question, ⇒ (8x – 500)/(9x – 1500) = 7/6 ⇒ 48x – 3000 = 63x – 10500 ⇒ 15x = 7500 ⇒ x = 500 P’s income = 8 × 500 = Rs. 4000 Q’s income = 9 × 500 = Rs. 4500 ∴ P and Q’s income is Rs. 4000 and Rs. 4500 respectively. |
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