Question:medium
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?
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?
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Work out what fraction of the total income the clothes portion represents.
Updated On: Jul 16, 2026
- Rs.55,400
- Rs.54,500
- Rs.55,450
- Rs.55,650
Show Solution
The Correct Option is A
Solution and Explanation
Step 1: Split the 55% spending into 11 equal parts.
The ratio $4:2:5$ has $4+2+5 = 11$ total parts, and these 11 parts together represent 55% of income, so each single part represents $\frac{55\%}{11} = 5\%$ of income.
Step 2: Find what 1% of income equals.
Clothes take up 2 parts, which is $2 \times 5\% = 10\%$ of income, and this equals Rs.5540. So $1\%$ of income $= \frac{5540}{10} = 554$.
Final Answer:
The full income, that is 100%, equals $554 \times 100 = 55400$. \[ \boxed{Rs.\,55400} \]
The ratio $4:2:5$ has $4+2+5 = 11$ total parts, and these 11 parts together represent 55% of income, so each single part represents $\frac{55\%}{11} = 5\%$ of income.
Step 2: Find what 1% of income equals.
Clothes take up 2 parts, which is $2 \times 5\% = 10\%$ of income, and this equals Rs.5540. So $1\%$ of income $= \frac{5540}{10} = 554$.
Final Answer:
The full income, that is 100%, equals $554 \times 100 = 55400$. \[ \boxed{Rs.\,55400} \]
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