Question

Amirah is 8% taller than huixian and priya is 10% shorter than huixian. Express the height of amirah as a percentage of that of priya

Answer 1

Amirah is 8% taller than Huixian and Priya is 10% shorter than Huixian. The height of Amirah as a percentage of that of Priya is 120%

Step-by-step explanation:

Let the height of Huxian be X

Amirah is 8% taller than Huxian

Therefore height of Amirah

$A=X+X\times\frac{8}{100}$

$A=X(1+0.08)$

$\implies A=1.08X$

Priya is 10% shorter than Huxian

Therefore height of Priya

$P=X-X\times\frac{10}{100}$

$P=X(1-0.1)$

$\implies P=0.9X$

Now we need to find out A is what percentage of P

Therefore,

$\frac{A}{P}\times 100$

$=\frac{1.08X}{0.9X}\times 100$

$=\frac{108\times 100}{90}$

$=120\%$

Therefore, Height of Amirah is 120% of the height of Priya

Hope this helps.

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