A man wished to give Rs. 12 to each person and found that he fell short of Rs. 6 when he wanted to g

Dada Khalandar   10 years AGO

Let the number of persons be x and the total money be Rs y
Given when Rs 12 is given to each person he was short of Rs 6
Hence 12x − y = 6 → (1)
Also when Rs 9 is given to each person he is left with Rs 9
Hence y − 9x = 9 → (2)
Add (1) and (2), we get
3x = 15
∴ x = 5
Number of persons is 5
Put x = 5 in (1), we get 12(5) − y = 6
⇒ y = 60 − 6 = 54
Hence the money is Rs 54.

Like? Yes (28) | No (3)  

NAGENDRA P   10 years AGO

12X-6=9X+9...
Solving the above equation..
3X=15..
X=5..Therefore 5 persons..
12*5-6=54...
so option (4)..

Like? Yes (3) | No   

AMIT SINGH   10 years AGO

let no. of persons be \'x\'
then total sum of money,S=12*x-6-----(1)
and also,S= 9*x+9-----(2)
on solving both equations,
we get x(no. of persons)=5
and total sum of money,S=54

Like? Yes (3) | No (1)  

Hanish   10 years AGO

12*5=60-6=54
9*5=45+9=54

Like? Yes (4) | No (2)  

sanghavi    10 years AGO

9x+9=y
12X-6=y
x=5
y=54

Like? Yes (2) | No   

manish chauhan   10 years AGO

9*5=45 distribute 9 left 45+9=54
12*5=60 60-6=54 so 5 person 54 Rs.

Like? Yes (2) | No   

subasini matheswaran   10 years AGO

12*5=60
60-54=6
9*5=45
54-45=9
so option 4 is the answer

Like? Yes (2) | No   

PAWAN KUMAR   10 years AGO

solve using options

Like? Yes (2) | No (1)  

mohit srivastava   10 years AGO

when he decide Rs. 12 the 12*5=60 but Rs 54 he have so shortage of 6.
and when he decide Rs 9 then 9*5=45 he have Rs. 9 left

Like? Yes (1) | No   

sravanibatchu   10 years AGO

x-persons,y-total money
12*x-6=y
9*x+9=y
solving these x=5persons and y=54

Like? Yes (1) | No   

ANUP KUMAR   10 years AGO

LET, X = TOTAL AMOUNT AND Y = no.OF PERSON
Y = 12X - 6----(1)
Y = 9X + 9----(2)
SOLVING eq(1) AND eq(2),we get
x = 5
y = 54
Rs. 54 and person = 5

Like? Yes (5) | No (4)  

venkatesh   10 years AGO

Let us say there are X people.
Let the total amount be Rs.Y
Man tried to distribute certain amount among cetain number of people and found that he fell short of 6 rs. So if we consider the number of people to be X
the total amount man has is
Y=X*12-6--------[1]
Now man distributed 9 rs among X persons and found that he was left with 9 rs.
hence the total amount can be calculated as
Y=X*9+9---------[2]
equating [1] and [2]
we have Y=X*12-6=X*9+9
this gives
X=5(no of people)
and Y= Rs.54 (total amount with the man)

Like? Yes (1) | No   

Udhaya kumar   10 years AGO

let x as number of persons
then by given 12x-6 = 9x+9
by solving this we get x=5
amount 12x-6 = 54.........

Like? Yes (3) | No (3)  

sakshi   10 years AGO

Let no of person is x
So 12x-6=9x+9
So x=5
Total money =9*5=45

Like? Yes (3) | No (3)  

Pradeep   10 years AGO

54rs and 5 persons he left 9rs , and he given each person 9rs so 9*5=45+9 (he left ) =54 and at first he wished to give 12rs but 6rs is less if he give 12rs to five persons 12*5=60 - 6rs less so answer is 54 and 5 persons

Like? Yes (2) | No (2)  

sivaraman   10 years AGO

The money he had must be a factor of both 12 and 9.if we check out the options we have only 54 that satisfies the condition. therfore the answer is option 4

Like? Yes (1) | No (1)  

Priya Dharshini   10 years AGO

because...12*5=60;
let us assume for 5 persons.
and amount is 54;
so there is shortage of 6;
and if 9 rs is shared between 5 persons then 9 rs will be left over;

Like? Yes (2) | No (2)  

Rahul Bhadana   10 years AGO

let the no of person is X and he has money Y

12X-Y = 6
(as distribute Rs 12 to X people and short with Rs 3)

9X - Y = -9

(distribute Rs 9 to X people and left with Rs 9)


subtract 2 from 1 this will give u

X = 5 (no of person)
put the value in first equation and we get

Y = 54 the money he had

Like? Yes (2) | No (2)  

azharshahid01@gmail.com   10 years AGO

Let no of Persons are x and total Rupees is y.
According to first distribution,
12*y-6 = x
According to second distribution,
9*y+9 = x
on solving x=5 and y=54.
option 4) Rs 54 and Person=5

Like? Yes (2) | No (3)  

T.Aravinth kumar   10 years AGO

12x-6
9x+9
X=5 & ans=54

Like? Yes (2) | No (3)  

Mukesh Nayal   10 years AGO

12x=total money-6
and 9x=total money+9
onsolving these equations
x=5 and totalmoney=54

Like? Yes (1) | No (2)  

indrajeet yadav   10 years AGO

let person=x
then 12x-6=9x+9
3x=15
x=5
person=5 and rupees=12*5-6=54

Like? Yes (1) | No (2)  

Gitanjali K   10 years AGO

let he had M money and no. of person's he wanted to give present are P
so, in first case he wanted to give 12Rs & came up with 6Rs shortage
12P-6=M
12P-M=6..eq(1)

and in 2nd case,he wanted to give 9Rs and had left with 9Rs
9P+9=M
9P-M=-9..eq(2)

solving eq (1) & (2)
we get P=5 & M=54 that means he had 54Rs & wanted to give present to 5 people

so When he tried to give 12Rs to 5 people he needed 60Rs & came up with 6Rs shortage
and,When he tried to distribute 9Rs to 5 people he used 45Rs and had left with 9Rs

so option (4) is the answer

Like? Yes (4) | No (5)  

SHEREENA NISHAD   10 years AGO

In both case total money will be same
let number of persons = n
First case
total money = (n-1)* 12+6
second case
total money = 9n + 9
(n-1)*12 +6 = 9n +9
3n = 15
n=5
total money = 54

Like? Yes (1) | No (2)  

ROHIT   10 years AGO

x= no of men
12x-6= 9x+9
x=5
12x-5=54

Like? Yes (1) | No (2)  

murari kumar   10 years AGO

Let no. Of persons= x
And amount of money =y
Therefore,
12*x=y+6,
9*x=y-9
After solving we get..x=5 and y=54

Like? Yes (1) | No (2)  

Rashmi bharti   10 years AGO

let person=x
12(x-1)+6=9x+9
x=5

Like? Yes (1) | No (2)  

steffy edmond   10 years AGO

Let X be the number of persons.Then,
12X-6=9X+9
3X=15
X=5
so substituting the value of X
12X-6=60-6= 54

Like? Yes (1) | No (2)  

vaijayanthi   10 years AGO

let the no of person be x and the total amount be y.
12x-6=y---(1)
9x+9=y----(2)
so we can write as 12x-y=6 and 9x-y=-9
solving the above 2 eq we get x=5(no.of persons) and y=54(total amount)

Like? Yes (1) | No (2)  

Sukanya   10 years AGO

12*5=60 -6 =54
9*5=45 +9 =54
hence 54 rs 5 persons

Like? Yes (1) | No (2)  

KALIA MUDULI   10 years AGO

Through Options:
if he pay 12 to each then
12*5=60 6(short)

and if he pay 9 to each then
9*5=45 which is 9 less then 54

so OP (4)

Like? Yes (1) | No (2)  

MD SOHAIL AKHTER   10 years AGO

let the total money be y
and tota no. of person be x
A/Q
12x-6=y............(1)
and 9x+9=y.........(2)
on solving eqn (1)&(2), we get;
x=5 and y=54
ans option (4)

Like? Yes (1) | No (2)  

istekhar hussain   10 years AGO

Let total man= x,
12x - 6 = 9x + 9,
Value will be x = 5

Like? Yes (1) | No (2)  

sonu sahoo   10 years AGO

he fell short by 6 rupees , it means if he has 18 rupee in hand then each one get equal amount. only 54 is completely divisible by 18. if there are 5 persons then only rs. 9 left over.

Like? Yes (1) | No (2)  

Leelanand Kumar Yalla   10 years AGO

12*x-6=9*x+9; by solving this we will get x=5; so amount is 54 and persons are 5....

Like? Yes (1) | No (2)  

SREEVIDHYA P P   10 years AGO

Check one by one the option
Rs.54 &no.of persons=5
First 12*5=60
He has only 54 rupees.ie.,60-54=6rupees short.
Next 9*5=45
Ie.,he gave Rs.9 to each 5 persons.Rs.45
Then remaining amt.is 9
So ans. Is Rs.54&5persons

Like? Yes (1) | No (2)  

Rohit Singh Panwar   10 years AGO

9x+9=12x-6
hence x=5

and money = 54

Like? Yes (1) | No (2)  

P.Someshwar Reddy   10 years AGO

By using options, it is easy to solve this puzzle.
By option 4, there are 5 persons and initially if everyone has to be given Rs.12 then he must have Rs.60, but he has Rs.54 so he fell short of Rs.6 and if everyone were given Rs.9 then he must have Rs.45, since he had Rs.54, he is left with Rs.9.

this will not happen to any other option hence the correct answer is option 4.

Like? Yes (1) | No (2)  

rajkumarreddy   10 years AGO

cross verfication
4 * 12 =48 + 6 =54
5 * 9 = 45 + 9 = 54

Like? Yes (1) | No (2)  

Keshav Kishlay   10 years AGO

let x is no of person and y is total money
then 12*x-6=y & 9*x+9=y
so,
x=5 & y=54

Like? Yes (1) | No (2)  

Arun Kumar Tiwari   10 years AGO

Let x be the total no. person.

therefore, 12x-6=9x+9
=> 3x=15
=> x=5

Now, total money= 9x+9
= 9X5+9
= 54

Thus, the answer is Rs. 54 and person = 5

Like? Yes (1) | No (2)  

Jinal Sanghvi   10 years AGO

12x=y-6
9x=y+9
Solve for x and y
X=5 and y=54

Like? Yes (1) | No (2)  

Deb Das   10 years AGO

Let 5 people were there,5*12=60
Short 6 Rs. So total amount,60-6=54
Now
5*9=45
and 45+9=54
so option 4.

Like? Yes (1) | No (2)  

vemula mounika   10 years AGO

12x-y=-6
9x-y=9
on solving these we get 4 th option

Like? Yes (1) | No (2)  

Anupam Banerjee   10 years AGO

Let no. of person=x;
So 1st case,
Total money = 12*(x-1)+6;

2nd case,
Total money = 9*x+9;

So,
12*(x-1)+6 = 9*x+9
or,12x-12+6 = 9x+9
or,3x = 15
or,x = 5;

So, number of person = 5;
Total money = (12*4)+6 = 54;

Like? Yes (1) | No (2)  

Sundar Kumar   10 years AGO

if we assume as 5 persons
if we give Rs.12 per each then 12*5=60
they said as Rs. 6 wil be shortage so total will be Rs. 54
if we give Rs.9 per head means then 9*5= 45 and remaining Rs.9 as said in question so total Rs. 54 and 5 members.

Like? Yes (1) | No (2)  

SHUBHAM KUMAR   10 years AGO

12x-6=9x+9, where x is the nuber of peoples
x=5
total money 12*5-6=54

Like? Yes (1) | No (2)  

DHIRENDRA    10 years AGO

Rs. 54 and person = 5
accordin to condition
12*5=60=60-6=54------condition true
9*45=45=45+9=54------condition true

Like? Yes (1) | No (2)  

Dundi   10 years AGO

12 x p - 6 = 9 x p + 9
by solving the above we will get number persons as 5....and amount will be 54

Like? Yes (1) | No (2)  

shibraj aditya   10 years AGO

the conditions given in the question goes with option 4 only. 5*12=60, 60-54=6. also 5*9=45, 54-45=9.

Like? Yes (1) | No (2)  

Devendra Marghade   10 years AGO

If number of person=x, then
12x-6=9x+9
x=5
Total money=12x-6 or 9x+9 =54

Like? Yes (1) | No (3)  

ravi prakash   10 years AGO

let person be X
then A/Q
9x + 9=12x - 6
15=3x
x=5
5 person is there
amount=12*5-6 = 54

Like? Yes (1) | No (3)  

rajani   10 years AGO

let no.of persons be x,
then 12(x)-6=9(x)+9
3x=15
x=5
so persons are 5
and the amount is 9(5)+5=54

Like? Yes (1) | No (3)  

srilakshmi   10 years AGO

by options
ans is 4.

(5*12) = 60 (54+6) -- 6rs short to 54
(5*9) = 45 (54 - 9) -- 9rs was left over to 45.

so ans is option 4.

Like? Yes (1) | No (3)  

Ann Theressa   10 years AGO

Let the number of persons he found be x

12x-6 = 9x+9
3x = 15
x = 5

Amount of money he had = 12x-6
=60 - 6
=Rs 54

Number of persons he found = x
=5

Like? Yes (1) | No (3)  

Sagar Jinachandran   10 years AGO

Let x be the number of persons
y be the amount in hand
12*x=y+6
12x-y=6-------(1)
9*x=y-9
9x-y=-9-------(2)
solving this we get
3x=15
x=5
putting this in equation 1
12*5-y=6
y=60-6
y=54
option 4

Like? Yes (1) | No (3)  

Varunraj Reddy   10 years AGO

Let the money he have = x Rs.
Let the no.of persons = y
According to given conditions

12*y = x+6 ------(1)
9*y = x-9 ------(2)

By solving eq. (1) & (2)
we get y=5
Substitute y=5 in eq. (1)
We get x=54 Rs.

Ans is Option 4)

Like? Yes (2) | No (4)  

sruthi   10 years AGO

Rs. 54 and person =5

there are 5 persons if 9/- given for each
money will be equal to 45

54-45=9

left money is 9/-

so option 4 is the answer

Like? Yes (1) | No (3)  

ASHISH MITTAL   10 years AGO

12x-6=9x+9
x=5
and rupee will be
12*5-6=54
so option (4)

Like? Yes (1) | No (3)  

Bhagyashree Bhatt   10 years AGO

he had R, and the number of people he's giving money to N

In the first case he wanted to give out 12 and came up 6 short

12N = R + 6

In the 2nd case he wanted to give out 9 and had 9 left over

9N = R - 9

Turing this into R = 9N + 9 we can substitue this for R in the first equation to get

12N = 9N + 9 + 6
12N = 9N + 15
3N = 15
N = 5

Then using R = 9N + 9 we get

R = 9(5) + 9 = 45 + 9 = 54

When he tried to give 12 to 5 people he needed 60 and was 6 short
When he tried to get 9 to 5 people he only used 45 and had 9 left over.

Like? Yes (1) | No (3)  

AMIT   10 years AGO

Money he has=12*x-6...(i)
again Money he has=9x+9...(ii)
therefore by solving x=5
money he has=12*5-6=54
so option (4)

Like? Yes (1) | No (3)  

bithika das   10 years AGO

no of person=x
(12x-6)=(9x+9)
x=5
putting value of x
rs 54

Like? Yes (1) | No (3)