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Solve This Simple Mathematics If You"are Smart by Nobody: 12:14pm On Jul 21, 2014 |
IF ronaldo , bale , isco collect 150%, 100% , 75% of X respectively and messi's salary in 14 weeks 5days is what ronaldo pays as tax per annual . provided that tax is 45% of income , express the amount each player will take home in terms of X |
Re: Solve This Simple Mathematics If You"are Smart by Danhumprey: 12:36pm On Jul 21, 2014 |
If you don't understand what this OP is rambling about,just type "Halleluyah!" 1 Like |
Re: Solve This Simple Mathematics If You"are Smart by Mblem(m): 1:17pm On Jul 21, 2014 |
am too busy calculating the amount of all this celebrities.... when will people start calculating mine? I don't even care about how much any of my club players are sold or bought.....f************k |
Re: Solve This Simple Mathematics If You"are Smart by Vengeance: 1:27pm On Jul 21, 2014 |
Solving problems accurately in Mathematics is about specificity. So @OP next time be specific about what kind of year because leap year considered makes a difference in result. Now, Let 1 year = 365 days Let annual salary = AS = X Let Ronaldo's annual salary = RAS = 150X Let Bale's annual salary = BAS = 100X Let Isco's annual salary = IAS = 75X Let Messi's annual salary = soccergod Let Annual tax = AT = 45% annual salary Ronaldo's annual tax = RAT = 45% of RAS = 0.45 * 150X = 67.5X 14weeks 5days = 103 days Messi annual salary = soccergod (in 365 days) If Messi earns 67.5X = 103days, Then 1 day = 67.5X /103 => 365 days = (67.5X / 103) * 365 = 239.19903X soccergod = 239.19903X = 239.20X (approx. 2 dp) Isco Annual tax = IAT = 45% of IAS = 0.45 * 75X = 33.75X Bale's Annual tax = BAT = 45% of BAS = 0.45 * 100X = 45X Messi Annual tax = Fuk-da-govt = 45% of soccergod = 0.45 * 239.20X = 107.64X Therefore, Take home 1) Ronaldo = 150X - 67.5X = 82.5X 2) Bale = 100X - 45X = 55X 3) Isco = 75X - 33.75X = 41.25X 4) Messi = 239.20X - 107.64X = 131.56X. 1 Like |
Re: Solve This Simple Mathematics If You"are Smart by paranorman(m): 1:41pm On Jul 21, 2014 |
This ur question get as e be. Very funny question. Not clear, implicit; ambiguous! Lets make these assumptions anyway: 1.Players are paid wages weekly 2. There'r 52 weeks in year. 3. 7 days a week. 4. Income is taxed weekly. Income before tax: ronaldo, 1.5x bale; x isco, 0.75x income after tax: ronaldo; 0.825x bale; 0.55x isco; 0.4125x ronaldo's annual tax = 52*0.675x = 35.1x = messi's wages in 14 weeks and 5 days. 14weeks+5 days= 103 days. Messi's income per day= 35,1x/103 messi's income per week= (35.1x/103)*7= 2.39x therefore, messi's income after tax=0.55*2.39x= 1.3145x so in terms of x, income after tax for each repective player per week is; ronaldo's = 0.825x bale= 0.55x isco=0.4125x messi= 1.3145x i had to make some assumptions. I even assume ur question. 1 Like |
Re: Solve This Simple Mathematics If You"are Smart by McWhillion(m): 2:39pm On Jul 21, 2014 |
Let Ronaldo =R = 1.5X Bale =B = 1.0X Isco =I = 0.75X Messi =M = 2.4X N.B For Messi 0.45*R = M(in 14weeks 5 days= 103 days) 0.45*1.5X =M(in 103 days) 0.45*1.5X*365/103 = M( in 365 days) M = 2.4X(approx) There take home pay after tax(55% of earnings), R= 0.55*1.5X =0.825X. B = 0.55*1.0X =0.55X. I = 0.55*0.75 = 0.4125X. M = 0.55*2.4 = 1.32X. |
Re: Solve This Simple Mathematics If You"are Smart by Nobody: 3:59pm On Jul 21, 2014 |
paranorman: This ur question get as e be. Very funny question. Not clear, implicit; ambiguous!making assumptions without telling you shouldn't be problem . Thanks for solving it all are correct except that of messi I got 1.3112X |
Re: Solve This Simple Mathematics If You"are Smart by Nobody: 4:00pm On Jul 21, 2014 |
McWhillion: Letnice bro |
Re: Solve This Simple Mathematics If You"are Smart by Nobody: 4:03pm On Jul 21, 2014 |
Vengeance:taking assumptions shouldn't be problem . you are correct anyways |
Re: Solve This Simple Mathematics If You"are Smart by McWhillion(m): 4:29pm On Jul 21, 2014 |
I've this for you guys.... A contractor agreeing to finish a work in 150 days employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by …………. each working now for 10 hours daily, the work can be completed in time. CarlOzeki, Snowland, Tinkybabe, hopelink1, paranorman, vengeance, kobonaire.... YOUR ATTENTIONS ARE NEEDED |
Re: Solve This Simple Mathematics If You"are Smart by Vengeance: 5:48pm On Jul 21, 2014 |
McWhillion: I've this for you guys.... Let work to be done = W Let total duration of work = TD = 150 days = 150 * 24hrs = Let initial employees = IE = 75 Let work phase one = 90 days Let work time phase one per employee per day = WT1/E/D = 8hrs Work duration per employee per phase one = WD/E/1 = WT1/E/D * 90 = 8 * 90 = 720hrs = 30 days Total work duration per IE per phase one = TWD/IE/1 = WD/E/1 * 75 = 2250 days After 90days, workdone by 75 employees = 2W/7 => 2W/7 = 2250 days; W = 7875 days [Remainder work to be done / Phase two] Let balance days of work phase 2= BDW2 = 150 - 90 = 60 days Let remainder work to be done = RW Now, Remainder work to be done = 5W/7 = 5625 days Let WT2/E/D = 10hrs Let number of additional workers = AW = z Let total employees = TE = 75 + z Work duration per employee per phase 2 = WD/E/2 = WT2/E/D * BDW2 = 10 * 60 = 600hrs = 25 days => Total work duration per employee per TE per phase two = TWD/TE/2 = WD/E/2 * TE = 5625 days => 25 days * (75 + z) = 5625 days; 75 + z = 225; z = 225 - 75 = 150 Therefore additional workers required to finish the job done on schedule = 150 men |
Re: Solve This Simple Mathematics If You"are Smart by McWhillion(m): 6:17pm On Jul 21, 2014 |
Vengeance: Nice one bro |
Re: Solve This Simple Mathematics If You"are Smart by meryl4merit(f): 6:36pm On Jul 21, 2014 |
Vengeance:Nice 1 exactly ma ans Vengeance:Nice 1 exactly ma ans |
Re: Solve This Simple Mathematics If You"are Smart by kobonaire(m): 7:20pm On Jul 21, 2014 |
McWhillion: I've this for you guys.... Job X was to be completed by 75 men working 8hours/day => 75*8=600ManHours/day. However @600ManHrs/day only 2/7 of X was completed. Implying that to complete X, the number of man hour/days required = 600/(2/7) = 2100 ManHour/days Since number of men have been increased by say Y and the daily work rate increased. The new ManHours/day = (75*10 + 10Y) = (750+10Y) And it has been stated that this new ManHour/day rate will be able to complete the remaining part of the project (5/7X). Since we know that the project X requires 2100 man hours => 5/7th of project requires 5/7*2100= 1500 ManHours/day Thus 750 +10Y = 1500 Or Y = 75 It will thus require 75 additional men (all working at the new 10hr/day rate) to complete the project on time. |
Re: Solve This Simple Mathematics If You"are Smart by McWhillion(m): 8:59pm On Jul 21, 2014 |
kobonaire: Its 150 men extra bro. |
Re: Solve This Simple Mathematics If You"are Smart by kobonaire(m): 9:17pm On Jul 21, 2014 |
McWhillion:how my guy?? ... pls show me the mistake in my calculation |
Re: Solve This Simple Mathematics If You"are Smart by McWhillion(m): 10:07pm On Jul 21, 2014 |
kobonaire: how my guy?? ... pls show me the mistake in my calculationBro, you didn’t put the first 90 days and the leftover 60 days into consideration If you were to include it in your equations, it will look like this: The first phase. @600 man hrs/day reps 2/7= 2100 man hrs/day Which translates to working (2100*90) man hrs for the 90days = 189,000 man hrs (for the first phase of work) The second phase. @(75 +Y)*10 man hrs/day reps 5/7 = (750+10Y) man hrs/ day Which translates to working ((750+10Y)*60) man hrs for the 60 days = ( 45,000 +600Y) man hrs (for the second phase of work) From your eqs,(5/7 of the whole project = 5/7*189,000 = 135,000 man hrs for 60 days) Thus your eq. becomes 45,000 + 600Y = 135,000(instead of 750+10Y= 1500) Y= 150…. (Bro, your workings nearly burst my head o... you too dey think, naso i be too, i never find a simple way of solving maths problems) |
Re: Solve This Simple Mathematics If You"are Smart by kobonaire(m): 5:44am On Jul 22, 2014 |
McWhillion:Bros, you are on 100% point ...that was a flaw in my earlier solution and thanks for the explanation. You are a math whiz. Yeah, i tend to take a complex approach to solving these problems (when a simpler approach may suffice) .. I blame it on my engineering background. During my engineering school days, teacher go ask us to be solving everything with differential equations, laPlace transformations etc etc ... maybe my head don permanently scatter small |
Re: Solve This Simple Mathematics If You"are Smart by McWhillion(m): 9:54am On Jul 22, 2014 |
kobonaire: Bros, you are on 100% point ...that was a flaw in my earlier solution and thanks for the explanation. You are a math whiz. Yeah, i tend to take a complex approach to solving these problems (when a simpler approach may suffice) .. I blame it on my engineering background. During my engineering school days, teacher go ask us to be solving everything with differential equations, laPlace transformations etc etc ... maybe my head don permanently scatter small Naso o, wetin person don know no dey leave am. Are u a practicing engineer? |
Re: Solve This Simple Mathematics If You"are Smart by McWhillion(m): 10:05am On Jul 22, 2014 |
I ve this for you guys, There are 3 persons Wale, Femi, and Dele. Wale lent cars to Femi and Dele as many as they had already. After some time Femi gave as many cars to Wale and Dele as many as they have. After sometime Dele did the same thing. At the end of this transaction each one of them had 24 cars. Find the cars each originally had. CarlOzeki, Snowland, Tinkybabe, hopelink1, paranorman, vengeance, kobonaire, meryl4merit.... YOUR ATTENTIONS ARE NEEDED! |
Re: Solve This Simple Mathematics If You"are Smart by Tinkybabe(f): 10:54am On Jul 22, 2014 |
Hey Mcwhillion!would attempt the question as soon as I'm free..didn't see the previous question earlier but can see the maths wiz have done justice to it... Lol. |
Re: Solve This Simple Mathematics If You"are Smart by Tinkybabe(f): 11:34am On Jul 22, 2014 |
let the no of cars each had initially be Wale= z ,Femi =y ,Dele = x STEP 1:Wale gave Femi and Dele y and x cars respectively ie Wale= z-(x+y) Femi=y+y= 2y Dele= x+x=2x Let the no of cars left with Wale be t Hence T= z-(x+y) equ i STEP 2:Femi gave Wale[b] t[/b] cars and Dele 2x cars , hence has left 2y -(t + 2x) STEP 3: Dele gave Wale 2t cars and Femi 2y-(t+2x) cars ,therefore he is left with 4x-[2y-(t+2x) +2t] So in total each has Wale ; 4t = 24 equ 1 Femi ; 2[2y-(t+2x)]= 24 equ 2 Dele ; 4x-[2y-(t+2x) +2t] = 24 equ 3 from equ 1 , t= 6 from equ 2 , 2y-(t+2x) = 12 2(y-x) = 12+6 = 18 y-x = 9 y = 9+x equ ii from equ 3, use y = 9+x 4x-[2(9+x)-6-2x+2(6) =24 4x -[(18-6)+12]= 24 4x = 48 x= 12 y= 9+12 = 21 {from equ i; t = z-(y+x)} 6=z-(21+12) ; z= 6+33 z = 39 Therefore initially, Wale had 39 cars Femi had 21 cars Dele had 12 cars 1 Like |
Re: Solve This Simple Mathematics If You"are Smart by paranorman(m): 11:58am On Jul 22, 2014 |
McWhillion: I ve this for you guys, from the look of the question, Wale's got to ave the highest number of cars. Wale's got 39 cars, Femi 21 and poor guy Dele has got just 12. |
Re: Solve This Simple Mathematics If You"are Smart by McWhillion(m): 12:01pm On Jul 22, 2014 |
paranorman: Correct Sir, But if Dele who has 12 cars is poor then i don't mind being poor bro. |
Re: Solve This Simple Mathematics If You"are Smart by kobonaire(m): 7:34pm On Jul 22, 2014 |
McWhillion: I ve this for you guys, If each of them had A, B and C cars respectively After the first exchange then each respectively has:- (A-B-C), 2B and 2C After 2nd exchange: (2A-2B-2C), (3A-A-C), 4C And final exchange: 4A -4B-4C, 6B-2A-2C, 7C-A-B And since we are told that after the final exchange, each has 24 cars, we can thus form 3 equations for our 3 variables :- 4A -4B-4C = 24, 6B-2A-2C = 24 , 7C-A-B = 24. So solving these 3 equations yields A=39 : Wale B=21 : Femi C=12 : Dele @paranorman how were you able to compute yours, hope not mentally, then you must be a Math PhD |
Re: Solve This Simple Mathematics If You"are Smart by paranorman(m): 7:43pm On Jul 22, 2014 |
kobonaire: nope. Follwed a similar steps to urs. Na phone i dey use. Stressful to type solution when 'm not on my PC. |
Re: Solve This Simple Mathematics If You"are Smart by kobonaire(m): 7:46pm On Jul 22, 2014 |
paranorman:oya, please type out the outline .... mine took me a while to compute and I am looking for a more efficient solution. |
Re: Solve This Simple Mathematics If You"are Smart by kobonaire(m): 7:52pm On Jul 22, 2014 |
[size=2pt] Tinkybabe: let the no of cars each had initially be[/size]nice work - nothing hotter than a chic who digs mathematics |
Re: Solve This Simple Mathematics If You"are Smart by McWhillion(m): 8:35pm On Jul 22, 2014 |
kobonaire:Nice one... 1 Like |
Re: Solve This Simple Mathematics If You"are Smart by McWhillion(m): 8:37pm On Jul 22, 2014 |
Tinkybabe: let the no of cars each had initially be Very nice one there |
Re: Solve This Simple Mathematics If You"are Smart by Nobody: 8:58am On Jul 23, 2014 |
sorry , 1 Like |
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