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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 8

If the difference between 75% of a number and 60% of the same number is 82.5, then find 20% of that number - Mathematics

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Question

If the difference between 75% of a number and 60% of the same number is 82.5, then find 20% of that number

Sum

Solution

Given that 75% of number less 60% of number is 82.5

Let the number be ‘x’

∴ `75/100 xx x - 60/100 xx x` = 82.5

∴ 0.75x – 0.60x = 82.5

∴ 0.15x = 82.5

∴ x = `82.5/0.15`

= `8250/15`

= 550

Required to find 20% of number i.e. 20% of x.

`20/100 xx x = 20/100 xx 550`

= 110

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Chapter 4: Life Mathematics - Exercise 4.1 [Page 125]

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Samacheer Kalvi Mathematics [English] Class 8 TN Board
Chapter 4 Life Mathematics
Exercise 4.1 | Q 6 | Page 125
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