Monthly incomes of husband and wife in a family are in the ratio 3 ∶ 7 and their savings are in the ratio 3 ∶ 5. If the expenditure of both of them is 15000 and 45000 respectively, then their respective monthly incomes are:
Let incomes of wife and husband be Rs. 3x and Rs. 7x respectively.
Savings of husband = Rs. (3x - 15000)
Savings of wife = Rs. (7x - 45000)
Ratio of savings = $(\frac{{3x - 15000}}{{7x - 45000}} = \frac{3}{5})$
⇒ 15x - 75000 = 21x - 135000
⇒ 6x = 60000
∴ 3x = 30000
⇒ 7x = 70000
∴ Their respective incomes are Rs. 30000 and Rs. 70000 respectively.
4. Find the wrong term in the series. 10, 11, 20, 45, 97, 175, 296