In January 2022, Kriti paid an EMI, which was 22% of her monthly salary. She spent the remaining salary on shopping of groceries and clothes in the ratio 7 ∶ 5. She spent Rs. 18,200 on shopping of clothes. If, in February 2022, her salary increased by 16%, then what was her salary (in Rs.) in February?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 1)

Answer 1

Given

Kriti paid an EMI, which was 22% of her monthly salary

She spent the remaining salary on shopping of groceries and clothes in the ratio 7 ∶ 5.

She spent Rs. 18,200 on shopping of clothes.

Formula used:

Income = expenditure + savings

Calculation

Let the income be x.

The amount given to Emi = 22x/100

= 11x/50

Remaining amount = 39x/50

Expense on clothing = 5/12 × 39x/50

= 13x/40

⇒ 13x/40 = 18,200

⇒ x = 1400 × 40

⇒ x = 56000

If, in February 2022, her salary increased by 16%:

⇒ 56000 × 116/100

⇒ 64960

Her salary (in Rs.) in February is 64960.

Alternate Method

Let the income be x.

⇒ x × 78/100 × 5/12 = 18200

⇒ x = 56000

Salary in February = 56000 × 116/100 = 64960.