Question

If $37.5%$ of a number is $450$, then $87.5%$ of the number will be
A.$825$
B.$1175$
C.$1050$
D.$1250$

Answer 1

Hint: Here we are given $37.5%$ of a number is $450$. Find for $1%$ of a number and then find the number for $87.5%$.

Complete step-by-step answer:
We are given that, $37.5%$ of a number is $450$,
We can write it is, $37.5%$ of a number$=450$
Now for $1%$ of a number$=\dfrac{450}{37.5%}$
Here, $87.5%$ of the number will be$=\dfrac{450}{37.5%}\times 87.5%$
Now simplifying we get,
$87.5%$ of the number will be$=1050$
Therefore, If $37.5%$ of a number is $450$, then $87.5%$ of the number will be $1050$.
The correct answer is option (C).

Additional information:
Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other. For example, when one variable changes the other, then they are said to be in proportion. Direct variation means when one quantity changes, the other quantity also changes in direct proportion. Inverse variation is exactly opposite to this. If the two values of the objects are related in such a way that an increase or decrease in the value of one object affects the value of the other, which is termed as a variation. Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.

Note: A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.