Question:
After two successive increments, a person’s salary became 144% of the original salary. If the percentage increase in the second increment was equal to that in the first increment, then what was the percentage of each increment?
दो क्रमिक वृद्धियों के बाद, एक व्यक्ति का वेतन मूल वेतन का 144% हो गया। यदि दूसरी वृद्धि का प्रतिशत पहली वृद्धि के बराबर था, तो प्रत्येक वृद्धि का प्रतिशत क्या था?
Options:
- 15%
- 18%
- 20%
- 22%
- 15%
- 18%
- 20%
- 22%
Correct Answer: c)
Explanation:
Let each increment be \(r\%\).
\(\left(1 + \dfrac{r}{100}\right)^2 = 1.44 = (1.20)^2 \implies 1 + \dfrac{r}{100} = 1.20 \implies r = 20\%\).
\(\left(1 + \dfrac{r}{100}\right)^2 = 1.44 \implies 1 + \dfrac{r}{100} = 1.20 \implies r = 20\%\)।