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Among the following choices, the ratio $75 paise: 3 rupees$ in its simplest form is given by

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1:2

1:6

6:1

1:4

answer is D.

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Detailed Solution

It is given the ratio

75 paise: 3 rupees

.
We have to write it in the ratio form.
The conversion formula is, 1 rupee = 100 paise.
So, 3 rupee =

3 \times 100

paise
Hence, the ratio is given by,

75 paise : 3 × 100 paise 75 paise : 300 paise

The HCF of

75, 300

75

75 paise : 3 rupees = 75 ÷ 75 300 ÷ 75 75 paise : 3 rupees = 14 75 paise : 3 rupees = 1 paise : 4 paise

Hence the ratio of

75 paise: 3 rupees

1 : 4

.
Hence option 4) is correct.

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