Quant Question of the Day Chat

In a factory X out of every Y items produced were found to be defective. If 5% of the items produced during a day were found to be defective, what was the total number of items produced that day?
(A) x/.05
(B) 95x
(C) 20x/y
(D) 20y
(E) None of these

Can anyone clarify the answer? got 2 from different sources

A silly question, a% means a/100 correct?

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I think the solution could be (x/y) *100 =5.
So Y =20X

We need Y

Nvm actually. We can’t figure how many items were produced in a day since we need the number of defective items produced during that day,which is not given

Hey the answer is option A, let us take x as 5 and y as 100, using option A you can directly find y as 100, 5/0.05 = 100 , so option is A

You can try with other value also, option A seems okay

The question doesn’t say that X was the number of defective items produced during that day. It just says X items out of every Y items are found to be defective.

That’s a general fact

read the second line after that, 5% are defective, then out of 100 produced, 5 are defective, because it is saying there can be only defective/nondefective

Think its Option E

X:Y is a ratio.. it just X out of every Y... so 1 out of 20 or 5% of 100 is the same thing. We have 2 variables here while just one equation so think cant be solved

Even if you took 1 out of 20, you can use x/0.05 = 1/0.05 = 20 would be the ans

so for all the value if you take x/0.05 will give you the ans

Dont think so: (1) X out of every Y items were defective (please note it is not X out of Y but X out of every Y so is expressed in ratio) (2) 5% of total (let’s say "a)" are defective are the 2 equations. Then what’s the a? X out of every a = 5% of

Sorry still typing.. pressed enter by mistake

Now assuming total is 400 then defective will be 5% of 400 ie. 80. How will you get that from X/0.05 if you could tell

With 2 equations in ratio/percentage.. you cant never tell total. You would atleast need one of the two variables : either total items or defective items or nondefective items.. none of these 3 are available

*20

oops I goofed up with numbers. But in same example say 1600 total and 5% being 80.. dont think we can get that answer by the X/0.05 option

Pls stop confusing people

you will get even by this 80/0.05 = 1600

Wasn’t my intent, my apologies. Will be more mindful next time

At least he is trying. This Q is pretty confusing by itself. I wont be surprised if Bunuel pops in and says its (E) though (A) seem like the closest answer.

The question is the same as saying 1 out of every 5 items is defective and 20% of the items produced were defective.

That’s the same information written in ratio and %

5% of 1600 is 80 but not X.


Exactly that’s what I have been saying