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?

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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
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The Correct Option is A

Solution and Explanation

Step 1: Express the amount spent on clothes as a fraction of total income.
Kajal spends 55% of her monthly income on grocery, clothes and education in the ratio \(4:2:5\). The total of the ratio parts is \(4+2+5=11\), so clothes get \(\frac{2}{11}\) of the 55% spent, that is \(\frac{2}{11} \times 55\% = 10\%\) of her total monthly income.

Step 2: Solve for the monthly income.
Since 10% of the income equals Rs.5540, the full income is \(\frac{5540}{10} \times 100 = 55400\). Options B, C and D do not satisfy this 10% relationship, so they are incorrect.

Final Answer:
Kajal's monthly income is Rs.55,400. \[ \boxed{Rs.\,55{,}400} \]
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