What is the number which when increased by 15% becomes 414.
in Mathematics
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What is the number which when increased by 15% becomes 414?

in Mathematics
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Solution —

Let the number be x

15% = 15/100 = 0.15

It increased by 15%, which implies that

x is increased by 0.15 times of x,

⇒ x + 0.15 x = 414

⇒ 1.15x = 414

⇒ x = 414 / 1.15 = 360

Hence, the required number is 360.

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