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The income of A and B is in the ratio 8 : 9. If their total income is increased by Rs.1700 and B’s income gets decreased by Rs 100 then the ratio of income of A and B becomes 9 : 8. Find the original income of A and B.1. Rs. 7000, Rs. 80002. Rs. 7000, Rs. 90003. Rs. 8000, Rs. 90004. Rs. 7200, Rs. 81005. None of these |
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Answer» Correct Answer - Option 4 : Rs. 7200, Rs. 8100 Given: The ratio of income of A and B = 8 : 9 Increment in A’s income = 1700 The decrement in B’s income = 100 New ratio of income of A and B = 9 : 8 Formula used: Income = Expenditure + Saving Calculation: Let the income of A and B is Rs. 8x and 9x respectively. Then, (17x + 1700)/(9x – 100) = 17/8 ⇒ 136x + 13600 = 153x – 1700 ⇒ 136x – 153x = 13600 + 1700 ⇒ 17x = 15300 ⇒ x = 900 A’s income = 8 × 900 ⇒ 7200 B’s income = 9 × 900 ⇒ 8100 ∴ The income of A and B is Rs. 7200 and Rs. 8100 respectively. |
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