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# A pair of jeans is marked down 30% and then reduced at the cash register another 10%. Is this a total reduction of 40%? Why or why not?

Asked by Topperlearning User 18th August 2015, 2:33 PM

Suppose the price of the jeans is Rs.100.

The 30% reduction,d  on Rs.100.

d  = 0.30 × 100 = 30

To get the first reduction price, subtract 30 from 100.

100 - 30 = 70

Now, take the 10% discount on Rs.70.

0.10 70 = 7

Subtract 7 from 70.

70 - 7 = 63

So, the final price after both the reductions is Rs.63.

Hint

Find the amount of change.

To get the amount of change, subtract the old amount from the new amount.

63 - 100 = -37

Hint

Divide by the original amount.

Divide by the original amount.

So, the percent of decrease is 37%.

Hint

Compare the reductions.

The reductions are different. If the jeans are first marked down 30%, and then reduced another 10%, this is only a 37% reduction, not a 40% reduction.

Answered by Expert 18th August 2015, 4:33 PM
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