adkikani wrote:

Bunuel niks18 amanvermagmat chetan2u**Quote:**

]In 2003 Acme Computer priced its computers five times higher than its printers. What is the ratio of its gross revenue for computers and printers respectively in the year 2003?

(1) In the first half of 2003 it sold computers and printers in the ratio of 3:2, respectively, and in the second half in the ratio of 2:1.

(2) It sold each computer for $1000.

What is incorrect in below approach?

p

c: price of computer

p

p: price of printer

x: no of computers sold

y: no of printers sold

Q: p

cx + p

py = ?

Given : p

c= 5p

pSt 1:

x/y = 3/2 In first half of year

x/y = 2/1 In second half of year

Two distinct eqs will give me x and y.

p: unknown. InsuffSt 2:

p

c= 5p

p = 1000

x and y: unknown.

Combining: we get all values of p

c, p

p,x and y.

Can you suggest if highlighted part is correct?

Thanks

amanvermagmat, for the explanation.

Hi

adkikani, Lets first understand the meaning of ratio.

How we obtained the ratio of any given numbers? For simplicity, let's focus on finding the ratio of two numbers.

Example: a = 48 and b = 36, a:b = 4:3 . Notice that, to find the ratio of two numbers we divide each number by the HCF of two numbers.

In the above example HCF(48,36) = 12

\(\frac{a}{b} = \frac{a}{12} : \frac{b}{12}\) = 4:3

We can peek another two numbers say, c = 28 and d = 21. The ratio of c and d is still 4:3, but HCF(c,d) is different.

So just by knowing the ratio, we can't conclude the exact value of the numbers.

From a given ratio, we can write all the numbers in one variable(in terms of HCF).

For example, if four numbers p,q,r, and s are in ratio of 4:5:8:9, then we can write: p = 4K, q = 5K, r = 8K, and s = 9K, Where K = HCF(p,q,r,s).

Some additional information will be required to get the exact values of the variables.

**Quote:**

(2) It sold each computer for $1000.

This information is redundant because we already know the ratio of the prices. Please note that we have to find the

"ratio of its gross revenue for computers and printers respectively in the year 2003". Hence, the actual price of each computer and printer is not required.

Hope this helps.