Test Index

Ratio and Proportion

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Question : 46 of 112

Marks: +1, -0

The least whole number which when subtracted from both the terms of the ratio

6 : 7

gives a ratio less than

16 : 21

is

3
2
4
6

Solution:

Concept:

Subtract the same whole number from both terms of the ratio so that the new ratio is less than

16:21

.

Explanation:

Let the number be

x

.

The new ratio is

\frac{6-x}{7-x}

.

We need

\frac{6-x}{7-x} < \frac{16}{21}

.

Since

7-x > 0

for

x<7

, cross multiply:

21(6-x) < 16(7-x)

.

Simplify:

126 - 21x < 112 - 16x

.

Rearrange:

126 - 112 < 21x - 16x

→

14 < 5x

.

Thus

x > \frac{14}{5} = 2.8

.

The least whole number greater than

2.8

is

3

.

Answer:

3

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