Question
Download Solution PDFIf the income of Neha is 5% more than that of Monica, then the income of Monica is what percentage less than that of Neha?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
If the income of Neha is 5% more than that of Monica, then the income of Monica is what percentage less than that of Neha?
Formula used:
Let Monica's income be M .
Neha's income = M + \(\dfrac{5}{100} \times M\)
Neha's income = 1.05M
Calculation:
Let Neha's income be N .
N = 1.05M
Monica's income = M
Percentage by which Monica's income is less than Neha's income:
⇒ \(\dfrac{N - M}{N} \times 100\)
⇒ \(\dfrac{1.05M - M}{1.05M} \times 100\)
⇒ \(\dfrac{0.05M}{1.05M} \times 100\)
⇒ \(\dfrac{0.05}{1.05} \times 100\)
⇒ \(\dfrac{5}{105} \times 100 \)
⇒ \(\dfrac{100}{21}\)
⇒ \(4\dfrac{16}{21} \)%
∴ The correct answer is option (4).
Last updated on Jun 26, 2025
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