?
If a is 60% of b, then what percent of 4a is 5b ?
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& a = 60\% {\text{ of }}b \cr
& \Rightarrow a = \frac{{60}}{{100}}b \cr
& \Rightarrow b = \frac{5}{3}a \cr} $$
∴ Required percentage :
$$\eqalign{ & = \left( {\frac{{5b}}{{4a}} \times 100} \right)\% \cr & = \left( {5 \times \frac{5}{3}a \times \frac{1}{{4a}} \times 100} \right)\% \cr & = \left( {\frac{{625}}{3}} \right)\% \cr} $$
∴ Required percentage :
$$\eqalign{ & = \left( {\frac{{5b}}{{4a}} \times 100} \right)\% \cr & = \left( {5 \times \frac{5}{3}a \times \frac{1}{{4a}} \times 100} \right)\% \cr & = \left( {\frac{{625}}{3}} \right)\% \cr} $$
Join the Discussion
Login to post a comment or share your explanation.
Login