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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?
- A28000
- B23000
- C30000
- D19000
Answer not set
Discussion 1
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CCommunity
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
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