Q.
If two numbers are in the ratio $\frac{1}{12}: \frac{1}{15}$, then by what percentage is the second number less than the first. Arrange the following steps in sequential order.
(A) Difference between the two numbers will be $5 x-4 x=x$
(B) Given that the ratio of two numbers $=$ $\frac{1}{12}: \frac{1}{15}=5: 4$.
Consider the numbers be $5 x$ and $4 x$.
(C) The percentage by which the second number is less than the first number $=\frac{x}{5 x}$ $\times 100 \%=20 \%$.
(D) the second number is $x$ less than the first number.
Ratio, Proportion and Variation
Solution: