JNU SSS 2013 Question 98: Quantitative aptitude and data reasoning

There are two experts, $X_1$ and $X_2$, employed by the Planning Commission of Hubble Bubble to calculate the annual rate of growth of output in the country. Given that $Y(t)$ denotes output in year $t$ and $Y(t-1)$ denotes output in the previous year $(t-1)$, $X_1$ calculates the rate of growth in year $t$ using the formula $[Y(t) - Y(t-1)]/Y(t)$ and $X_2$ calculates it using the formula $[Y(t) - Y(t-1)]/Y(t-1)$.

Suppose $X_1$’s calculations show that the rate of growth in 2012 was 5%. Which of the following numbers is the closest to $X_2$’s calculated value for the rate of growth in 2012?