CBSE Class 8 Answered
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 | 18 Aug, 2015, 02:33: PM
Expert Answer
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 x 70 = 7
Subtract 7 from 70.
70 - 7 = 63
So, the final price after both the reductions is Rs.63.
To get the amount of change, subtract the old amount from the new amount.
63 - 100 = -37
Divide by the original amount.
So, the percent of decrease is 37%.
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 | 18 Aug, 2015, 04:33: PM
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