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The incomes of P and Q are in the ratio 4 : 7 and their expenditures are in the ratio 3 : 7. If P saves Rs 10000 and Q saves Rs. 7000, then what will be the income (in Rs.) of P?1). 280002). 230003). 300004). 19000 |
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Answer» Let the incomes of P and Q be RS. ‘4X’ and Rs. ‘7x’ respectively Let the EXPENDITURES of P and Q be Rs. ‘3y’ and Rs. ‘7y’ respectively Now, SAVINGS = Income – Expenditure ⇒ Savings of P = 4x –3y = 10000 ----(1) ⇒ Savings of Q = 7x – 7y = 7000 ⇒ x – y = 1000 ⇒ y = x – 1000 Substituting in (1), ⇒ 4x – 3(x – 1000) = 10000 ⇒ 4x – 3x + 3000 = 10000 ⇒ x = 10000 – 3000 = 7000 ∴ Income of P = 4x = 4(7000) = Rs. 28000 |
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