Question

Kajal spends 55% of her monthly income on grocery, clothes and education in the ratio of 4 : 2 : 5 respectively. If the amount spent on clothes is Rs.5540/-, what is Kajal’s monthly income ?

• A. Rs.55,400
• B. Rs.54,500
• C. Rs.55,450
• D. Rs.55,650

Answer 1

The Correct Option is A

To determine Kajal's monthly income, let's proceed with the following steps:

Given that Kajal spends 55% of her monthly income on grocery, clothes, and education in the ratio 4:2:5 respectively. The amount spent on clothes is Rs.5540/-.

First, express the spending on clothes in terms of the total expenditure: if the ratio of expenditure is 4:2:5, then the part spent on clothes is 2 parts out of a total 4+2+5 = 11 parts.

If 55% of the income is spent, then the clothing expenditure can be mathematically represented as 55% of monthly income = 5540 out of which 2/11 corresponds to clothes.

The equation for clothes expenditure will be: (2/11) × (55/100) × Income = 5540.

To find the income, rearrange the equation: Income = 5540 × (11/2) × (100/55).

Now, compute:

Income = 5540 × 5 × 10

Income = 554,000/100

Income = 55,400

Therefore, Kajal's monthly income is Rs.55,400.