Question 1171759: Successive discounts of 30% are followed by 45% equal to what single discount?
a) 60%
b) 90%
c) Cannot be determined
d) 75%
e) 539/2000% Found 2 solutions by Solver92311, Theo:Answer by Solver92311(821) (Show Source):
You can put this solution on YOUR website! 30% discount makes the price 70% of what it would have been.
45% discount makes the price 55% of what it would have been.
70% * 55% makes the price 38.5% of what it would have been.
100% minus 38.5% gives a discount of 61.5%.
that's pretty close to 60% discount.
selection A is the closest to what the answer should be.
for example:
assume the price is 1000 dollars.
30% discount off of that is .3 * 1000 = 300 dollars.
the price becomes 1000 minus 300 = 700 dollars.
45% discount off of that is .45 * 700 = 315 dollars.
the price becomes 700 minus 315 = 385 dollars.
that's the final price after all the discounts.
the total discount is 300 + 315 = 615 dollars.
615 dollars divided by 1000 dollars = .615 = 61.5% total discount.
that's not exactly equal to any of the selections, but it is closest to 60%.
the final price was 385 dollars.
1000 dollars minus 60% of 1000 dollars = 1000 dollars minus 600 dollars = 300 dollars final price.
that's very close to 385 dollars that we calculated exactly.
