1.

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

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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