7. A number when increased by 20%. becomes 72. What will it become if it is decreased by 10%?
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Let the number be x.
According to condition,
x+(20% of x) = 72
or, x+(20/100×x) = 72
or, x+20x/100 = 72
or, (100x+20x)/100 = 72
or, 120x/100 = 72
or, 120x = 72×100
or, 120x = 7200
or, x = 7200/120
or, x = 60
So, the number is 60.
The number when decreased by 10%
= 60-(10% of 60)
= 60-(10/100×60)
= 60-6
= 54
Hence, it will become 54 if it is decreased by 10%.
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