Question

Betty is $13\%$ taller than Annie. Carol is $10\%$ taller than Betty. How many percent taller is Carol than Annie?

• A. $23\%$
• B. $24.3\%$
• C. $21\%$
• D. $3\%$

Answer 1

The correct option is B $24.3\%$

Betty is 13% taller than Annie
Ratio of height of Annie : height of Betty=100:113
Carol is 10% taller than Betty.
Ratio of height of Betty : height of Carol =100:110
=>Height of Betty = $\frac{100}{110}\times$height of Carol
Thus,
height of Annie : height of Betty=100:113
=>height of Annie$=\frac{100}{113}\times$ height of Betty
=>height of Annie$=\frac{100}{113}\times \frac{100}{110}\times$height of Carol
=>height of Carol:height of Annie=$\frac{113}{100}\times \frac{110}{100}$
=>height of Carol:height of Annie=$1.243$
If height of Annie is 100, then height of Carol = $1.243\times 100=124.3$
Thus,Carol is taller then Annie by $(124.3-100)$