A shop has a sale that offers 20% off all prices. On the final day they reduce all thesale prices bye 25%. Linz buys a radio on the final day. Work out the OVERALL percentage reduction on the price of the radio.
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Answers
Concept:
A ratio or value that may be stated as a fraction of 100 is called a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The word "%" is used to symbolise it.
There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.
Decimal or fractional representations of percentages, such as 0.6 percent or 0.25 percent, are also possible. The grades earned in any topic are calculated in terms of percentages in academics. For instance, Ram scored 78 percent on his final exam.
Given:
A shop has a sale that offers 20% off all prices. On the final day they reduce all the sale prices bye 25%. Linz buys a radio on the final day.
Find:
Find percentage reduction on the price of the radio
Solution:
Let the price be x
after 20% of on radio=x-20% of x
= x-x/5
=4x/5
On final day, the new prices after 25% discount,
=4x/5 - 25% of 4x/5
= 4x/5 - 1/4 of 4x/5
= 4x/5 - x/5
=3x/5
Therefore, the total percentage reduction =3x/5/x x 100%
=60%
Therefore, the total percentage reduction = 60%
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