Question

kavya's weight is 25% of Sara's weight and 35% that of Shreya's weight. What percent of Sara's weight is Shreya's weight?​

Answer 1

Let's Sara's weight is x kg and Shreya's weight is y kg. Then.

Kavya's weight = 25% of Sara's weight = $\frac{25}{100} \times x$

Also, Kavya's weight = 35% of Shreya's weight = $\frac{35}{100} y$

SO, $\frac{25}{100} \times x = \frac{35}{100}y$

⇒$25x = 35y$

⇒$5x = 7y$

⇒$x = \frac{7}{5} y$

We have to find Sara's weight as the percentage of Shreya's weight

SO,

$( \frac{x}{y} \times 100)\% = ( \frac{ \frac{7}{5}y }{y} \times 100)\% = \frac{7}{5} \times 100\% = 140\%$

HENCE, Sara's weight is 140% of Shreya's weight.