Question

Jodie spent 25% less buying her English reading book than Claudia. Gianna spent 9% less than Claudia. Gianna spent more than Jodie by what percent?

Answer 1

Answer: 17.5824 % ( Approx)

Step-by-step explanation:

Let the hours spent by Claudia = x hours,

According to the question,

Hours spent by Jodie = 25 % less than Claudia

⇒ Hours spent by Jodie = the hours spent by Claudia - 25% of the hours spent by Claudia

= x - 25 % of x

= x - 0.25 x     ( Since, 1% = 0.01⇒ 25 % = 0.25 )

= 0.75 x

Also, Hours spent by Gianna = 9 % less than Claudia

⇒ Hours spent by  Gianna  = the hours spent by Claudia - 9% of the hours spent by Claudia

= x - 9% of x

= x - 0.09 x

= 0.91 x

Thus, the percentage by which Gianna spent more than Jodie

$= \frac{\text{ Gianna's spending - Jodie's spending}}{\text{Gianna's spending}}\times 100$

$= \frac{0.91x-0.75x}{0.91x}\times 100$

$= \frac{0.16x}{0.91x}\times 100$

$= \frac{0.16}{0.91}\times 100$

$= \frac{16}{0.91}$

$= 17.582417582\% = 17.5824\%$