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If 25% of first number is three times 50% of second number then what is the ratio of the first number to the second number?
Question

If 25% of first number is three times 50% of second number then what is the ratio of the first number to the second number?

A.

1 : 6

B.

2 : 3

C.

3 : 1

D.

6 : 1

Correct option is D

Given:

25% of first number = 3 × (50% of second number)

Formula Used:

Percentage of a number =Percentage100\frac {\text{Percentage}}{100}​× Number

Solution:

Let the first number be 'x' and the second number be 'y'.

According to the given condition:

25100\frac{25}{100}​× x = 3 × 50100\frac{50}{100}​ × y

14\frac 14​ × x = 3 × 12\frac 12​× y

x = 122\frac {12}{2}​× y

xy=61\frac x y = \frac 6 1​​

x : y = 6 : 1

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