Question

# Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers isA. 2:3B. 3:4C. 4:5D. 5:6

Hint: We are asked to find the ratio, so we’ll convert the two given numbers in fraction form so that we can take their ratio afterwards. Assuming the first number to be 100% make the increments in the first two numbers and then take their ratio.

=$\dfrac{{120x}}{{100}}$
=$\dfrac{{6x}}{5}$
=$\dfrac{{150x}}{{100}}$
=$\dfrac{{3x}}{{100}}$
Now, ratio of first two numbers = $\dfrac{{6x}}{5}:\dfrac{x}{2}$
=$12x:15x$
=$4:5$