Test Index

Ratio and Proportion

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Question : 10 of 112

Marks: +1, -0

The ratio of two terms is

1 : 25

. If 36 added to second term then the ratio becomes

1 : 2

The first terms is

12
10
8
9

Solution:

Concept:

Use the given ratios to form linear equations and solve for the unknown first term.

Explanation:

Let the first term be

x

and the second term be

y

.

From the ratio

x : y = 1 : 25

, we have

\frac{x}{y} = \frac{1}{25}

, so

y = 25x

.

After adding

36

to the second term, the new ratio becomes

1 : 28

.

Thus

\frac{x}{y + 36} = \frac{1}{28}

, which gives

y + 36 = 28x

.

Substitute

y = 25x

:

25x + 36 = 28x

.

Simplify:

36 = 3x

, so

x = 12

.

Hence, the first term is

12

.

Answer:

12

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