Latest TCS Aptitude Question SOLUTION: 22) A boy buys 18 sharpeners (brown or white) for Rs. 100. For every white sharpener, he pays one rupee more than the brown sharpener. What is the cost of white sharpener & how mu

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22) A boy buys 18 sharpeners (brown or white) for Rs. 100. For every white sharpener, he pays one rupee more than the brown sharpener. What is the cost of white sharpener & how much did he buy?

Asked In TCS anitha (11 years ago)

Unsolved Read Solution (13)

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Read Solution (13) :

Garima  (11 years ago)

If he bought x white sharpeners @ Rs (y+1) and (18-x) brown sharpeneres @ Rs y per sharpener, then
x*(y+1)+x*(18-x)=100
x= 100-18y
Only integral value of x less than 18 will be 10.
then x=10, y=5
so he bought 10 white sharpeners @ Rs 6 per sharpeners and 8 brown sharpeners @ Rs 5 per sharpener.

Is this solution Helpfull? Yes (41) | No (12)  

prabu  (11 years ago)

Guys don't confuse this problem,
Logically think,go for an option wise
1)5,13-13 white sharpner means remains 5 brown sharpners-and here said white sharpner cost is one rupee more than brown
hence we easily calculate
5*13=65-white shapner
4*5 =20-brown sharpner-one rupee less than the cost of white so only here i mentioned 4 and remains sharpner 5..
Then calculate the total=65+20=85(Not satisfied.because the total is 100)
2)2nd option is 5,10
same to calculate previous one:
5*10=50
4*8 =32
total=82(Not satisfied)
3)6,10(3rd option)
6*10=60
5*8 =40
60+40=100(Satisfied).Hence this is the answer
Is it useful??I need your comments..

Is this solution Helpfull? Yes (32) | No (3)  

Keshav Gupta  (11 years ago)

we know that a boy buy 18 sharpeners for rs. 100.
so the 8 brown sharpeners- each 5 rs.
and 10 white sharpeners- each 6 rs.
then 8*5+10*6=100

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

sandeep  (11 years ago)

@GARIMA can u plz expln wht is the meaning of only integral val of x less than 18 is 10?/ plz reply soonnn

Is this solution Helpfull? Yes (6) | No   

Sahil Motwani  (11 years ago)

He will buy qo white sharpeners at 6 rupees each.
so no. of brown sharpeners is 18-10=8.
and cost of a brown sharpener is cost of white sharpener-1=6-1=5
thus 8 brown sharpeners at 5 rupees each

Is this solution Helpfull? Yes (3) | No (5)  

Ramesh  (11 years ago)

Y+Z=18
Yx+Z(x+1)=100
18x+Z=100
let x=5
Z=10
Z*x+1=10*6=60
Y*x=8*5=40

Is this solution Helpfull? Yes (2) | No (6)  

abhinav pratap  (8 years ago)

let brown be x,white = 18-x,
cost brown=y,white= y=+1
so x*(18-x)+x*(y+1)=100
x=100-18y
solving we get x=10, y=5
so he got 10 white sharpners for6, 8brown for 5rs ,
8*5+10*60=100

Is this solution Helpfull? Yes (2) | No (1)  

nikhil  (8 years ago)

6 *10+ 5*8= 60+40
=100

Is this solution Helpfull? Yes (1) | No (1)  

Paul Rohit  (8 years ago)

If Cost of one brown sharpener = x, then cost of one white sharpener is x+1. Suppose he bought y brown sharpeners then 100 = xy + (x+1)*(18-y). 100 = xy + 18x - xy + 18 - y. 82 = 18x -y. Since y>0, y = 18x - 82. So x cannot be 1,2,3,4. Suppose x = 5 then y = 8. Then it satisfies the condition. So cost of one white sharpener is x+1 = 6 and he bought 18 - y = 10 of them.

Is this solution Helpfull? Yes (1) | No   

ILAYAPERUMAL  (7 years ago)

Assume that he bought b, brown sharpeners and w, white sharpeners and the cost of brown sharpener is x and white sharpener is x + 1
So w(x+1) + bx = 100
w + b = 18
b = 18 - w
Substituting in equation 1, we get w(x+1) + (18 -w)x = 100 so w + 18 x = 100
Take option 1: If white sharpners are 13, x = (100 - 13) /18 = 4.833
Option 2, If white sharpeners are 10, x = (100 - 10)/18 = 5 So white sharpeners cost is 6.
Option 3 Satisfies this condition.

Is this solution Helpfull? Yes (1) | No   

siri  (10 years ago)

with in 1 week i m going to write tcs test..could anyone suggest me how to prepare??

Is this solution Helpfull? Yes | No (5)  

naveen kumar  (8 years ago)

We can use substitution method also..

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Gopala Krishna  (7 years ago)

18 sharpners he buyed
total rupees 100
so there are 10*6=60 brown sharpners ; 8*5=40 white sharpners
the answer is the cost of white sharpners is 40- and he buyed 5 white sharpners.

Is this solution Helpfull? Yes | No (2)  

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