# a man wished to give rs. 12 to each person and found that he fell short of rs. 6 when he wanted to give to all the persons present. he, therefore, distributed rs. 9 to each person and found that rs. 9 were left over. how much money did he have and how many persons were there?

### Mohammed

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get a man wished to give rs. 12 to each person and found that he fell short of rs. 6 when he wanted to give to all the persons present. he, therefore, distributed rs. 9 to each person and found that rs. 9 were left over. how much money did he have and how many persons were there? from screen.

## A man wished to give Rs. 12 to each person and found that he fell short of Rs. 6 when he wanted to give to all the person present. He therefore distributed Rs. 9 to each person and found that Rs. 9 was left over. How much money did he have and how many person were there?

m4maths previous todays puzzles - A man wished to give Rs. 12 to each person and found that he fell short of Rs. 6 when he wanted to give to all the person present. He therefore distributed Rs. 9 to each person and found that Rs. 9 was left over. How much money did he have and how many person were there?

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

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## M4maths Previous Puzzles

M4maths Previous Puzzles 13 May 2014 Solve

### A man wished to give Rs. 12 to each person and found that he fell short of Rs. 6 when he wanted to give to all the person present. He therefore distributed Rs. 9 to each person and found that Rs. 9 was left over. How much money did he have and how many person were there?

## OPtion

1) Rs. 64 and person = 7

2) Rs. 74 and person = 6

3) Rs. 68 and person = 3

4) Rs. 54 and person = 5

5) Rs. 54 and person = 2

6) Rs. 76 and person = 8

7) Rs. 74 and person = 9

8) Rs. 96 and person = 8

9) Rs. 54 and person = 1

**10)None of these ** Solution

Let man have x rupees with him and let the number of person by y, A man wishes to give Rs. 12 to each person and found that he fell short of Rs. 6

12y = x + 6 (i)

When he distributed Rs.9 to each person, he has left with Rs. 9 with him

9y = x - 9 (ii) Solve

Rs. 54 and number of person 5

Option 4)

**Correct Option: 4**

**Best Solution (62)**

Dada Khalandar 8 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 (21) | No (1)**

AMIT SINGH 8 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)**

NAGENDRA P 8 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 (2) | No **

Hanish 8 years AGO

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

Like? **Yes (4) | No (2)**

sanghavi 8 years AGO

9x+9=y 12X-6=y x=5 y=54 Like? **Yes (2) | No **

manish chauhan 8 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 8 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 8 years AGO

solve using options

Like? **Yes (2) | No (1)**

mohit srivastava 8 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 8 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 8 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 8 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 **

sakshi 8 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 8 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 8 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)**

## A man wished to give Rs. 12 to each person and found that he fell short of Rs. 6 when he wanted to give to all the persons present. He, therefore, distributed Rs. 9 to each person and found that Rs. 9 were left over. How much money did he have and how many persons were there?

A man wished to give Rs. 12 to each person and found that he fell short of Rs. 6 when he wanted to give to all the persons present. He, therefore, distributed

A man wished to give Rs. 12 to each person and found that he fell short of Rs. 6 when he wanted to give to all the persons present. He, therefore, distributed Rs. 9 to each person and found that Rs. 9 were left over. How much money did he have and how many persons were there?

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## A man wished to give 12 to each person and found that he fell short of 6 when he wanted to give all the persons present He therefore distributed 9 to each person and found that 9 were left over How much money did he have and how many persons were there

Let the number of persons bexand the money the man had bey Case1 Man wished to give12to each person and found that he fell short with6 12x6yi Case2 Man distributed9to each person and found9left over 9x9yii Subtractingifromii we get 12x69x93x15x5 Substitutingxvalue ini we get 1256y606y54y Therefore there was5persons and the man had54

Guys, does anyone know the answer?