Latest TCS Aptitude Question SOLUTION: Jack buys 18 sharpeners (white and brown) for rs. 100.If he pays 1 rupee more for each white than brown sharpeners.how many of white and how many brown sharpeners did he buy?

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Jack buys 18 sharpeners (white and brown) for rs. 100.If he pays 1 rupee more for each white than brown sharpeners.how many of white and how many brown sharpeners did he buy?

Asked In TCS soumitra kumar paul (9 years ago)

Solved Anupam Kundu Read Solution (7)

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Anupam Kundu  (9 years ago) Best Solution

it is simple funda of guessing.. and if the option given it is so easy..
lets think x brown ones are there so the no of whites are 18-x.
now each brown coast y and each white then coast y+1.
so xy+(18-x)*(y+1)=100
18y-x=82
so one can easily say that y=5 and x=8
we cant take more for sum expectation.
now if brows are x and cost y then the total coast is xy=40 and
the whites are 10 and they coast 1 rs more each so they coast 6 and 6*10 is 60 and
60+40 is 100 so the sum satiesfies

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Antriksha  (9 years ago)

Ans is 10 white and 8 brown
tot cost=100
no of sharp.=18
cost of white=cost of brown+1
100/18=5.5...-(1)
also 100%18=10...-(2)
as cost of white is 1 more than that of brown
from 1 int. value will be 5
now remainder is 10 so 10 sharp. will be of cost (5+1)
=> 10*(5+1)+8*5
=>10*6+8*5
=60+40
100
white=10
brown=8

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MOHANASAI NANDAM  (9 years ago)

let white sharpners cost=5
if he buys 8, then 8*5=40
if he buys 10 brown sharpners with price 1 rupee more than white sharpners
then 10*6=60
so total 10+8=18 sharpners
and 40+60=100 rupees....

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Rajnandini Sharma  (9 years ago)

anupam can u explain how 5 and 8 ???

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RABI KR. SHAW  (9 years ago)

let white = x
cost of brown=a
x(a+1) + a(18-x) = 100
x+18a=100
put x=10 from option a=5

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Anupam Kundu  (9 years ago)

@rajnandini the equation is 18y-x=82.. so 18*5 is 90 and 90-8=82 simple.. thats why 5 and 8 okk?

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Rajnandini Sharma  (9 years ago)

thnks anupam :)

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