Question

Bablu's height increased by 10% over the last year. What is the ratio of his last year's height to this year's?

A. 10:11
B. 9:10
C. 11:10
D. 1:10

( WITH EXPLANATION )​

Answer 1

Answer:

10:11

Step-by-step explanation:

Let his height Last year be 100 cm

height this year is 100+10=110cm

Ratio therefore is

$\frac{100}{110}$

10:11

Answer 2

Answer:

Option (A) 10 : 11 is the correct option.

Step-by-step explanation:

Let Bablu's height a year ago 'x' cm

Given that his height increases by 10% per year

Therefore, his height this year = x + 10% of x

                                                   = x + $\frac{10}{100} * x$

                                                   = x + $\frac{x}{10}$

                                                   = $\frac{11x}{10}$

We need to find the ratio of his height last year to the height this year

= $\frac{x}{\frac{11x}{10} }$

= $\frac{10x}{11x}$

= $\frac{10}{11}$

= 10 : 11

Therefore, option (A) 10 : 11 is the correct option.