A frustrated greengrocer is trying to cell cucumbers at a price of $1.

Confused with the wording or the options
If whole number of Kgs are to be sold, shouldn't the answer be a multiple of 12?
That does not seem to be the case over here. Where am I going wrong?

If we look on solving it-
New Price: 1.5*.82*1.1
Kgs =4.5/(1.5*.82*1.1)= approx >3

Now since we have to take only whole number, I presume the value would be 3
So 3*12 = 36..
Closest value 34..option B
Is this correct? Please advice

Please reconsider the highlighted part...

obviously...
if we do not take whole numbers,then ans would be 40...

My bad

It should be 1.5 *82/100 *110/100

And hence the answer will be B

thanks rohit8865 for pointing out the mistake.

I don't think you need to really solve. Only one option is a multiple of 12 and hence can be the answer....

Hi Divyadisha,

Can you plz explain why have you multiplied the first equation with (110/100) New price = 1.5 *72/100 * 110/100
Because no where in the question it is mentioned that 10% rise in on discounted price or original price .

Regards,
Abhijit

Hi! Abhijit,

It is mentioned in the question that greengrocer first reduced the price by 18% and then again increased the price by 10%

Let's say x was the price after 18% discount. The new price after increasing it to 10% will be x+10x/100= 110x/100

P.S:- instead of 72 it should be 82 as price was reduced by 18% (100-18=82)

Hope it is clear.

I actually did all the math before looking at the answers choices, but then, when I saw it, I had to agree with you. But something is off:

I would agree with most users and their calculations because:
\(Original price =\frac{1.5$}{kg}\)
\(New Price 1 = \frac{1.5$}{kg}*\frac{82}{100}= \frac{1.23$}{kg}\)
\(FinalPrice = \frac{1.5$}{kg}*\frac{110}{100} = \frac{1.353$}{kg}\)

So with 4.5$ you would be able to buy:

\(KG of Cucumbers = \frac{money I got}{finalPrice} = \frac{4.5}{1.353}kg = 3.32 kg\) - or 3 whole kg of cucumbers (it doesn't matter if you round 1.353 to 1.35 or 1.36, it is still whole 3 kg)

So

\(NumberOfCucumbers = 12*3 = 36\)

But it is not in the answer choices.

Bunuel, any comments ?

Ans is 40 cucumbers. ---> option C

first a discount of 18% = price changes to 1.23
Then a increase of 10% on the discounted price, price changes to 1.353

So for $4.5, we can purchase 4.5/1.35 = 10/3 kg

if 1 kg = 12 cuc --> 10/3 will be 10/3*12 = 40 cuc

I found this explanation:
1.5 x 0.82 = $1.23.
$1.23 x 1.1 = 1.353$
5 / 1.353 = 4 Kg and change = 48 cucumbers.

But Bunuel your take on it would be appreciated.

DensetsuNo, why $5 and not $4.5? Or are you saying that would be right if it was $5 ?

matsuda, as I said I found it, I didn't reach it myself. If you google the problem you'll find a pdf from which Bunuel is likely to have taken the question, and there the author provides the aforementioned solution.

But I'm convinced that either the solution is wrong or the problem is really badly worded.

So I wouldn't stress it too much until Bunuel gives us his position on the problem. \(:)\)