if you want to remove an article from website contact us from top.

# 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?

Category :

### Mohammed

Guys, does anyone know the answer?

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

Follow Quotesrain 09 : 36 : 49 Result Today's Puzzle Previous Puzzles Prize & Rules Discussion Board Suggestion Board Trending Articles Maths Tricks Placement Papers Placement Questions

Interview Experience

Placed user Comment Group Discussion English APP login Result Today's Puzzle Previous Puzzles Prize & Rules Discussion Board Suggestion Board Trending Articles Maths Tricks Placement Papers Placement Questions

Interview Experience

Placed user Comment Group Discussion Walkins Corporate Job Exam Government Job Exam Entrance Exam Training Internship

## M4maths Previous Puzzles

M4maths Previous Puzzles 13 May 2014 Solve

## 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)

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--------

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---------

equating  and 

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)

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)

स्रोत : m4maths.com

## 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?

AGRAWAL PUBLICATION-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-EXAMPLE

Khareedo DN Pro and dekho sari videos bina kisi ad ki rukaavat ke!

1 day ₹5 ₹1 ₹7 / week Buy 1 month ₹149 ₹49 ₹49 / month Buy 1 year ₹749 ₹365 ₹30 / month Buy Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Related Videos

BOOK - AGRAWAL PUBLICATION

CHAPTER - INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS

EXERCISE - EXAMPLE 63 videos

INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS

BOOK - AGRAWAL PUBLICATION

CHAPTER - POLYNOMIALS

EXERCISE - EXAMPLE 25 videos POLYNOMIALS

A person solds an article at Rs 30 after buying it for Rs 25. How much profit did he nade on it?

19673659 00:45

एक व्यक्ति के पास कुछ धन है। वह इस धन का 20% एक वस्तु खरीदने पर खर्च करता है, शेष धन का 5% यातायात पर खर्च करता तथा उसने रु120 उपहार में दे दिए, यदि उसके पास रु1400 शेष बचे हो, तो उसने यातायात पर कितने रुपए खर्च किए ?

22544478 04:30

एक व्यक्ति प्रथम दिन 1 रुo दूसरे दिन 3 रुo तीसरे दिन 9 रुo चौथे दिन 27 रुo और इसी तरह संग्रह करना प्रारंभ करता है। 20 दिनों में उसके पास कितना संग्रह होगा ?

104445252 02:02

A person saved money every year , half as much as he could in the previous year . If he had totally saved Rs 7875 in 6 years then how much did he save in the first year ?

402415148 06:41

A person was appointed for a 50 days job on a condition that he will be paid Rs. 12 for every working day but he will be fined Rs. 6 for every day he remains absent. After the completion of the work, he got Rs. 420. For how many days, he did not work?

446647196 02:28

A person has Rs. 10,00,000. He bought a colorful V, Rs 16,580, a motor cycle for Rs 45,890 and houses for Rs 8,70,000. How much money did he have left?

642841385 02:39

एक व्यक्ति 11,235 रु. की दर से 9 घोड़े खरीदता है। उसने प्रत्येक घोड़ा12,312 रु० की दर से बेचा। तो, उस व्यक्ति का लाभ या हानि निकालिए।

643349192 02:30

अशोक के पास 8 रु. है। उसने 4 रु. खर्च किए। उसके पास कितने रूपये बच जाते है?

643350953 01:15

अशोक के पास 8 रु. है। उसने 6 रु. खर्च किए। उसके पास कितने रूपये बच जाते है?

643350954 01:06

अशोक के पास 8 रु. है। उसने x रु. खर्च किए। उसके पास कितने रूपये बच जाते है?

643350955 01:06

एक व्यक्ति Rs1 में 12 मार्बल बेचता है उसे 20% का नुकसान होता है। वह Rs 1 में कितने मार्बल बेचे कि उसे 20% का लाभ हो?

644295841 04:26

A person is paid Rs 150 for each day he works and is find Rs 30 for each day he remains absent. If in 40 days, he earned Rs 3,300, find for how many days did he work?

644445934 04:02

A person had Rs 1000000 with him. He purchased a colour T.V. for Rs 16580, a motor cycle for Rs 45890 and a flat for Rs 870000. How much money was left with him?

644761842 03:13

A person borrows some money on the condition that he pays back Rs.4200 at the end of first year and Rs.4410 at the end of second year. If the compound interest rate is 5%, how much money did he borrow?

646751608 04:09

A person lent some rupees to someone at 5% p.a. and after 6 months he lent the same rupees to another person at the rate of 6% p.a. After a certain period he took Rs.6900 each. received the mixture. How much loan did he give to each person?

646905695 01:53

If Rs. 4601 were distributed equally among 37 people, Rs. 13 was left out How much amount did each person get?

647453976 00:47

स्रोत : www.doubtnut.com

## 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

स्रोत : www.embibe.com

Do you want to see answer or more ?
Mohammed 3 day ago

Guys, does anyone know the answer?