Latest TCS Aptitude Question SOLUTION: Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount pai

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(#M40002118) TCS Logical Reasoning question Keep an EYE

Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?

Asked In TCS sacreties (12 years ago)

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rutvij  (12 years ago)

62.5%
assume amal's amount=100
5x+7y+4z=100 and 6x+14y+8z=150
solving this get x=12.5% ............... 5 pens ->5*12.5->62.5%

Is this solution Helpfull? Yes (37) | No (12)  

vivedha  (12 years ago)

let p be no of pens
let b be no of pencils
let e be no of eraser
let x be the amount paid by amal
so the eqn becomes..5p+7b+4e=x;6p+14b+8e=3x/2;
if you observe the symmetry in the eqn ie.7b+4e and 14b+8e so we can rearrange the eqn 1 and 2 and multiplying eqn1 by 2 we get
14b+8e=2(x-5p);
14b+8e=3x/2-6p
now equating both eqn,we get
2x-10p=3x/2-6p
x/2=4p
x=8p
p=100x/8(bcoz it's asked in terms of % )
p=12.5% of x
ans=12.5%

Is this solution Helpfull? Yes (16) | No (5)  

roshni guha thakurta  (12 years ago)

how can u solve two equations having 3 variables?
u need to have 3 equations,isnt it?

Is this solution Helpfull? Yes (8) | No (13)  

peeyush  (12 years ago)

answer is 80%..

Is this solution Helpfull? Yes (2) | No (15)  

venkatakrishna  (8 years ago)

Let, 5 pens + 7 pencils + 4 erasers = x rupees
so 10 pens + 14 pencils + 8 erasers = 2*x rupees
also mentioned, 6 pens + 14 pencils + 8 erarsers = 1.5*x rupees
so (106)
= 4 pens = (21.5)
x rupees
so 4 pens = 0.5x rupees => 8 pens = x rupees
so 5 pens = 5x/8 rupees = 5/8 of total (note x rupees is total amt paid byamal)
i.e 5/8 = 500/8% = 62.5% is the answer

Is this solution Helpfull? Yes (1) | No   

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