Rishu saves x% of her income. If her income increases by 26% and the e

1.	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 x?1. 302. 103. 204. 25
Answer» Correct Answer - Option 3 : 20 Given: Rishu saves x% of her income Increase in her income = 26% Increase in her expenditure = 20% Increase in saving = 50% Concept used: Income = Saving + Expenditure Calculations: 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

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 x?1. 302. 103. 204. 25

Answer» Correct Answer - Option 3 : 20

Given:

Rishu saves x% of her income

Increase in her income = 26%

Increase in her expenditure = 20%

Increase in saving = 50%

Concept used:

Income = Saving + Expenditure

Calculations:

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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