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John buys everyday 4% tomatoes, 6% cucumbers, 50% apples, 20% radishes, 15% lemons and 5% oranges. If the quantity of tomatoes bought yesterday is 7% more than the quantity of radishes bought the day before yesterday, which is 3% less than the quantity of cucumbers bought today, which is 5 kilograms, what is the quantity of apples bought by John yesterday?
Will appreciate it if u post your answers and working steps here. Thanks.
D ratio U supplied represents an everyday purchase ratio, Assuming today to be Tuesday, so we have Tuesdays purchase to be
T-0.04
C-0.06
A-0.50
R-0.20
L-0.15
O-0.05
All in %, sums up to 100%
Given relationships are:
1. T(Monday)= 1.07R(Sunday) 7% more Remember We assumed Today to be Tuesday, thus yesterday will be Monday, the day before being Sunday
2. R(Sunday)= 0.97C(Tuesday) 3% less
3. C(Tuesday)= 5kg
Find:
I) A(Monday)
Substitute C(Tuesday)= 5kg into the 2nd relationship i.e R(Sunday)= 0.97C(Tuesday)
therefore
R(Sunday)= 0.97(5kg)
R(Sunday)= 4.85kg
Solve for T(Monday) by substituting R(Sunday)=4.85kg into the 1st Relationship i.e T(Monday)= 1.07R(Sunday)
thus
T(Monday)= 1.07(4.85kg)
T(Monday)= 5.1895kg
We now have at least one concrete value for the quantity of Tomatoes bought for Yesterday(Monday), we can now use the ratio of daily purchase to find the quantity of any other item bought yesterday, in this case the Apples
Recall that:
T- 0.04% (4/100)
A- 0.50% (50/100)
to get the total quantity (X) of items bought yesterday would be;
4X/100 = 5.1895kg
cross-multiplying;
4X = 518.95kg
Solving for X (Making it the subject of the formular by dividing both sides by 4)
X = 129.74kg
Apple is 50% of X, thus
A= 0.5(129.74)
A= 64.87kg
The above is the quantity of Apples bought by John yesterday.
I took time to illustrate it all, in a normal test condition most of these steps can be solved visually, and everything taken care of under a minute, best of luck bro, keep preparing, the day of reward is sure coming, and our God who sees in the secret will reward U in the open
Triple C,
You're right. The key to solving such in a test is doing a visual. But then, you need to understand these steps to be able to do the visual check. Great way to go.
@Triple-C,
Mehn, you are a genius!!! Thanks.
@HigherHeights...U are right on point bro, one has to understand the steps and proceedures b4 raising the bar
@pein...brother no flatter me oh! Na God dey help each and every one of Us, especially me oh!
U're welcome man
This SHL people self!
The q is for ppl who can think.
Here’s an alternative presentation
Let T, R & C represent Tomatoes, Radishes and Cucumbers respectively
Quant of C (today)=5kg
Quant of R (day before yesterday) is 3% less quant of C above = 0.97×5 = 4.85kg
Quant of T (yesterday) is 7% greater than quant of R above = 1.07×4.85 = 5.19kg
Ratio of tomatoes to apples for ANY given day is 4:50 or alternatively 1:25, wch means for every kg of tomatoes purchased, jhn also bought 12.5kg of apples.
So if john bought 5.19kg of Tomatoes yesterday, he also bought (5.19×12.5)kg of apples = 64.875kg
The key is having a very clear understanding of what is requested of you, and quickly isolating relevant information (in the right order).
Hope this helps too
no wonder u are called brainbox...guy U much oh!
Another genius in the house. Thanks Brainbox
pein...ur welcm bro,
triple-C..na u be bad guyz
@BrainBox...U wan shift the spotlight abi...lol, U don ever see where mechanical approach beat electrical? e no dey happen, b4 na cable, cable and more cables dey run our cars,but as brainbox come...LIFE BECAME AS EASY AS A B C.
brother finally, after U na still U!!! I gbadu d much guyz!!!
lol, ure realy funny dude...dts cool tho. May The Good Lord crown our efforts wiv success
Amen! Amen!! and Amen!!!
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God go help us.
@V...unto which levels nah? BABA go help us oh!
For your mind you too sabi book abi? So the question is no longer for everybody but for 'thinkers'. Na free world sha, nothing do you!Quote:
Originally Posted by tunwumi
I smell "beef" no it's kilishi in this place oh! who is preparing this bbq?
think u kinda misundastood tunwunmi's post
think u kinda misundastood tunwunmi's postQuote:
Originally Posted by ozone republic
Brainbox well done. TrippleC you try too. Just wanted to point out that in gmat/shl each question is expected to be solved in about a minute & hopefully without a calculator. So any solution that appears to be a long thing then u know're you're on a wrong track. Some questions don't even need solving just reasoning things out from answer options available and picking the correct answer. So it this case brainbox's solution is the way u're supposed to handle it on the battle field. As others have said u need to understand the question well and experience has shown that practice makes perfect. By the time you run through many of such questions in ur leisure u'll be over confident and easily decipher tough nuts on test day.Quote:
Originally Posted by _brainbox_
SHL QUESTION:
John buys everyday 4% tomatoes, 6% cucumbers, 50% apples, 20% radishes, 15% lemons and 5% oranges. If the quantity of tomatoes bought yesterday is 7% more than the quantity of radishes bought the day before yesterday, which is 3% less than the quantity of cucumbers bought today, which is 5 kilograms, what is the quantity of apples bought by John yesterday?
SOLUTION:
Let m = quantity of cucumbers bought today;
∴x = 5kg
Let y = quantity of radishes bought the day before yesterday;
∴ y = 3% less than x;
⇒ (100% - 3%) of x;
= 97% of x;
=[IMG]file:///C:/Users/HILARY%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG]× x;
= 0.97 × 5;
= 4.85kg
Let z = quantity of tomatoes bought yesterday;
∴ z = 7% more than y;
= (100% + 7%) of y;
= 107% of y;
=[IMG]file:///C:/Users/HILARY%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image004.gif[/IMG]× 4.85;
= 1.07 × 4.85;
= 5.1895kg;
This clearly represents 4% of the total quantity of fruits and vegetables bought yesterday, since 4% of tomatoes are usually bought daily by John.
Let m = total quantity of vegetables and fruits bought yesterday;
∴ z = 4% of m;
⇒ 5.1895 = [IMG]file:///C:/Users/HILARY%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image006.gif[/IMG]× m;
5.1895 = 0.04 × m;
∴ m = [IMG]file:///C:/Users/HILARY%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image008.gif[/IMG];
= 129.7375kg
A little consideration upon the question will show that 50% apples are bought daily, and this represents 50% of the total quantity of fruits and vegetables bought daily as well.
Hence, for John’s yesterday’s purchases;
Let a = quantity of apples bought yesterday;
∴ a = 50% of the total quantity of fruits and vegetables bought yesterday;
= 50% of m;
= [IMG]file:///C:/Users/HILARY%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image010.gif[/IMG]× 129.7375;
= 64.86875kg;
≈ 65kg (answer)
See the exhaustively illustrative table below:
Fruits and vegetables varieties boughtEverydayTodayYesterdayDay before yesterdayTomatoes4%(i.e. of daily total fruits and vegetables bought)3.33kg5.1895kg (i.e.7% more than day before yesterday’s radish)0.97kgCucumbers6%(i.e. of daily total fruits and vegetable bought)5kg(i.e.6% of today’s total fruits and vegetables)7.78kg1.46kgApples50%(i.e. of daily total fruits and vegetable bought)41.67kg64.87kg12.13kgRadishes20%(i.e. of daily total fruits and vegetable bought)16.67kg25.95kg4.85kg (i.e.3% less of today’s cucumbers)Lemons15%(i.e. of daily total fruits and vegetable bought)12.50kg19.46kg3.64kgOranges5%(i.e. of daily total fruits and vegetables bought)4.17kg6.49kg1.21kgDaily total fruits and vegetables bought100%83.33kg129.74kg24.25kg
I hope you understood the solution vividly and without a single hitch, because I took my time to prepare it.
But SHL self! I think that the question difficulty level was too high within the time frame of the test… you do not think so?
Hilary…[email protected]
Please, see the attachment for a detailed solution okay.
All the best man...
Thanks hilaroofall. Nice way to go about it too. Anoda genius in the house.
@Pewekac...U've said it all, that was Y I added that this is meant to be solved in under a minute in which case a lot of steps are taking care of by visual inspection, while some more steps are taken care of in a single step. I took the time to illustrate it to detail(spelling out a lot of the things to be done...make subject of the formular et al) for the benefit of some viewers who (like me in the past had) may still have mathematics as an achilles heel.
@All...Brainbox hit the nail on the head, adopt and if need be suit it to ur style. 1 love