Question
Rishu saves x% of her income. If her income increases by
26% and the expenditure increases by 20%, then her savings increase by 50%. What is the value of xSolution
Let income of Rishu be 100 Saving of Rishu = 100 × (x/100) = x Expenditure of Rishu = 100 – x Rishu's salary after increment = 100 × (126/100) = 126 Rishu's expenditure after increment = (100 – x) × 120/100 = (100 – x) × 6/5 New Saving = 126 – (100 – x) × 6/5 ----(1) New saving after increment = x × 150/100 New saving after increment = 3x/2 ----(2) From eq. (1) and eq. (2) ⇒ 126 – (100 – x) × 6/5 = 3x/2 ⇒ 126 – 120 + 6x/5 = 3x/2 ⇒ 6 = (3x/2) – (6x/5) ⇒ 6 = (15x – 12x)/10 ⇒ x = 20 ∴ The value of x is 20
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