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18 of a number equals 25÷120. What is the number? - Mathematics

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Question

`1/8` of a number equals `2/5 ÷ 1/20`. What is the number?

Sum

Solution

Let the number be x.

Then, `1/8` of a number = `2/5 ÷ 1/20`  ......[Given]

`\implies 1/8 xx x = 2/5 xx 20`  ......`[∵ "Reciprocal of"  1/20 = 20]`

`\implies x/8` = 8

`\implies` x = 8 × 8

`\implies` x = 64

Hence, the number is 64.

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Chapter 2: Fractions and Decimals - Exercise [Page 47]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 2 Fractions and Decimals
Exercise | Q 79. | Page 47

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