Amen! Amen!! and Amen!!!
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Amen! Amen!! and Amen!!!
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God go help us.
@V...unto which levels nah? BABA go help us oh!
I smell "beef" no it's kilishi in this place oh! who is preparing this bbq?
think u kinda misundastood tunwunmi's post
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.
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