(i) What number when increased by 15% becomes 299?

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Solution

(i) Consider the original number as x
Here
New number = $(1 + 15 / 100)$ of original number
Substituting the values
$299 = (1 + 3 / 20) \times x$
Taking LCM
$299 = [(20 + 3) / 20] \times x$
By further calculation
$299 = 23 / 20 \times x$
So we get
$x = (299 \times 20) / 23$
$x = 13 \times 20$
$x = 260$
Therefore, the original number is $260.$

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