If 45% of P = $\frac{3}{4}$ of Q, then P

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

If 45% of P = $\frac{3}{4}$ of Q, then P : Q is :

Options:

5 : 4

5 : 3

4 : 5

3 : 5

Correct Answer:

5 : 3

Explanation:

45% of P = $\frac{3}{4}$ of Q

$\frac{45}{100}$ × P = $\frac{3}{4}$ × Q

$\frac{9}{20}$ × P = $\frac{3}{4}$ × Q

$\frac{P}{Q}$ = $\frac{3}{4}$ × $\frac{20}{9}$

$\frac{P}{Q}$ = $\frac{5}{3}$

Hence,

P : Q = 5 : 3