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Question : 13 of 39

Marks: +1, -0

When a number is added to another number the total becomes 150 percent of the second number. What is the ratio between the first and the second number

1: 2
1: 3
2: 3
None

Solution:

Concept:

Let the first number be

x

and the second number be

y

. The given condition translates to

x + y = 150\%

of

y

.

Explanation:

150\%

of

y

is

\frac{150}{100}y = 1.5y

.

So

x + y = 1.5y

.

Subtract

y

from both sides:

x = 0.5y

.

Thus

\frac{x}{y} = 0.5 = \frac{1}{2}

.

Therefore the ratio of first to second number is

1:2

.

Answer:

The ratio is

1:2

, which corresponds to option A.

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