130% of what number is 1170?

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Answer 1 · 2016-08-08T07:38:14

$900$

As the number has been increased by 30% to become 1170, we are expecting a number smaller than 1170 as the answer.

DO NOT be tempted to just subtract 30%. 30% of a smaller number is not the same as 30% of a larger number.

One method is to write an equation stating exactly what is asked in the question. "130% of some number is 1170."

$130/100 xx x = 1170$

$x = 1170 xx100/130 " by dividing by 130, we are finding 1%"$

$x = 900$

OR, by direct proportion:

$130/100 = 1170/x$

$x = (100 xx 1170)/130$

$x=900$

[Quick check: 130% =1.3 so $900 xx 1.3 = 1170$ ]