The cost price

[Chikis]

The cost price, N450, of an article is reduced by N150, find the ratio by which the price is reduced.

[Guest]

[tex]\frac{450 - 150}{450} \times 100 = \frac{300}{450} \times 100 = \frac{30}{45} \times 100 = 66.67%[/tex]

[Guest]

66.67 % of 450 is 300.

Price is not reduced by 300

So ratio that price is reduced by is not 66.67

.........according to my simple mind.....

[Guest]

If an item cost 100 and it is reduced by 10

we say it is reduced by 10/100 = 10% and the ratio it is reduced by is 10/100 = 1/10

and the new price is ((100 - 10) /100) = 90/100 = 90% of the original cost price or 0.9 X100 = 90

[Chikis]

It is not true.

[Guest]

What is not true.???

[Chikis]

It is not true that the answer is 90. Think well, before you present an answer.

[Guest]

I never said the answer was 90

What was the original question.?

The original question was...What is the ratio that the price is reduced by.?

90 is not a ratio.

90 was used in an example of how the new reduced cost could be found.

[Chikis]

Then what is your final answer?

[Guest]

How do you interperate the original question.?

Find the ratio by which the price is reduced.?

To me that means find a ratio of 2 numbers. That is the ratio of the amount of the reduction to the amount of the original price.

I illustrated this by example using simple numbers of 100 reduced by 10 giving 1/10 reduction. This is the answer you queried without giving any reason for querying it or giving your "correct" answer. It wasn't an answer to the original question but a worked example showing how to calculate it and hopefully the example could be followed to answer the original question.

So back to the original question 450 is reduced by 150. So 150/450 is 1/3. so the ratio is 1/3.
This is the same as saying 1/3 off, or 1/3 discount etc.

So to keep to the question......

Find the ratio by which the price is reduced.?
Answer is 1/3 = one third.
and if you want it as a percentage then it is..... 33.33% reduction on the original price

..............Simple...........

[Chikis]

The questions says 450 was reduced by 150. It means that 450 was made small by removing 150 from it. When you remove 150 from 450, you will be left with 300. The ratio of the reduced price to original price = 300/450 = 2 : 3 .

2/3 of 450 = 300.
So you see?

[Guest]

This is a copy and paste of the original question.
I have copied and pasted so as to make sure I have no typing errors....
------------------------------
The cost price, N450, of an article is reduced by N150, find the ratio by which the price is reduced.
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The question clearly states that the cost price is reduced by 150. That means it is lowered by 150. It means that 150 is taken off the original cost price. It means that the new cost now is 150 less that the original cost price. Whatever way you look at it the price now is 150 less than the original cost. In the context of the question and using the same language terminology the cost price is reduced by 150. The amount that it is reduced by is 150. The amount by which the price is reduced is 150.

To find the ratio by which it is reduced you would take the amount by which it is reduced and divide it by the original cost price. When you divide 2 quantities that give you a fraction representing the ratio of the 2 quantities. Two ratios that are mathematically equal in value are said to be in proportion.

So to find the ratio by which the cost price is reduced.....150 divided by 450 = 150/450 = 1/3

and if you want it as a percentage then 33.33/100 = 33.33 %

And if this was was shop advert they could say all priced are 1/3 off during the sale....

or all prices reduced by 1/3.....stating the ratio by which the price is
reduced

What you are doing is considering the new price after the reduction. The price now is 2/3 of the original price because 1/3 is off. So a shopkeeper advert would have to say all prices now 2/3 of original.....not many advert read well like this

-----------Simple......if you read the question.............