Shikha’s income is 60% more than that of Shalu. What percent is Shal

1.	Shikha’s income is 60% more than that of Shalu. What percent is Shalu’s income less than Shikha’s?
Answer» Let shalu’s income = Rs. X Hence, shikha’s income \(={X}+{X}\times\frac{60}{100}\) \(={X}+\frac{3X}{5}\) \(=\frac{8X}{5}\) Difference between shikha’s and shalu’s income \(=\frac{8X}{5}-{X}\) \(=\frac{3X}{5}\) Hence, Percentage in which shalu’s income is less than shikha’s income \(=\frac{\frac{3X}{5}}{\frac{8X}{5}}\times{100}\) \(=\frac{75}{2}\) = 37.5%

Shikha’s income is 60% more than that of Shalu. What percent is Shalu’s income less than Shikha’s?

Answer»

Let shalu’s income = Rs. X

Hence, shikha’s income

\(={X}+{X}\times\frac{60}{100}\)

\(={X}+\frac{3X}{5}\)

\(=\frac{8X}{5}\)

Difference between shikha’s and shalu’s income

\(=\frac{8X}{5}-{X}\)

\(=\frac{3X}{5}\)

Hence,

Percentage in which shalu’s income is less than shikha’s income

\(=\frac{\frac{3X}{5}}{\frac{8X}{5}}\times{100}\)

\(=\frac{75}{2}\)

= 37.5%