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I am confuse with this , Suppose one pencil cost 10 and erase cost 2 , according to ratio and proportion it mean 10:2 = 5:1 it mean pencil is 5 times the cost of erase

how does this concept is related to the below question

A company “A” sells a 53cm model T.V. at the price of Rs.7000 whereas another company “B” sells the same model at a price of Rs.16,800. What is the ratio of their respective prices?

Solution: A : B where A = 7000 ; B = 16800 5: 12

Shubham
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    You can think of it as a fraction, as well as a ratio. So $${7000\over16800}={5\over12}$$ – saulspatz Aug 22 '18 at 16:43
  • A ratio $a:b$ is said to be "equivalent" to a ratio $c:d$ if and only if $a\times d = b\times c$. In your example $10:2=5:1$ since $10\times 1 = 2\times 5$. Similarly $7000:16800=5:12$ since $7000\times 12 = 16800\times 5$. – JMoravitz Aug 22 '18 at 17:16

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$${A\over B}={7000\over16800}={5\over12}=0.4167$$

It means that A is 0.4167 times the cost of B which is of course less than B.

or you can say B is $\frac{12}{5}=2.4$ times the cost of A which is, of course, greater than the cost of A.

It means that company B is selling the same T.V. at a price 2.4 times than the price of company A.

Deepesh Meena
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The question is simply asking you to compare the prices of the companies (usually, expressed in simplest form).

Here, we have the ratio $$A:B=70:168=5:12=1:2.4,$$ that is, company B sells at $2.4$ of the price at which company A sells.

Allawonder
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