A man is engaged for 70 days. He is to receive Rs.24 per day, when he works, but has to pay a fine o

jagadeesh   11 years AGO

70x24=1680 (if he work total days)
1230 (received)
1680-1230=450 (difference)
If he absent for 1 day he wil loss 24/day+fine as 6
so total loss=30/day
remaining balance(450)/30=15days
Total working days=55
Amount will be=55*24=1320
Fine for 15 days=15*6=90
1320-90=1230

Like? Yes (14) | No (3)  

Vinay Sipani    11 years AGO

x + y = 70
24x - 6y = 1230

=> x = 55

Like? Yes (3) | No   

Ash   11 years AGO

1230=(x*24)-((70-x)6)
solve we get 55

Like? Yes (4) | No (1)  

shivendra pratap singh   11 years AGO

if he had work for 55 days then the amount he earned is
55*24=1320 rs
and he is 15 days absent so amount to be deducted is
15*6=90 rs
so actual amount he received is :
1320-90=1230 rs so correct option is 6)55

Like? Yes (4) | No (2)  

Rats   11 years AGO

Let the days he work be x
24x-6(70-x)=1230
on solving we get
x=55

Like? Yes (1) | No   

mohan lal garg   11 years AGO

let man work x days
absent day=70-x
according to question
24*x-6*(70-x)=1230
30x-420=1230
30x=1650
x=55
ans is 55 day...

Like? Yes (1) | No   

Devendra Marghade   11 years AGO

If Number of days present=x, absent=y
24x-6y=1230 ---(i)
x+y=70 ---(ii)
Solving (i)& (ii), x=55,y=15

Like? Yes (1) | No   

vigneshwari   11 years AGO

Let X be number of working days and Y be the number of days that he took leave.
Then X+Y = 70
And 24X-6Y = 1230 => 4X-Y = 205
Solving above two eqns, we get X = 55.

Like? Yes (1) | No   

SATYAM SAURABH   11 years AGO

use hit and trial method
to earn rs 1230 he has to work 52 day regularly
choose range 1st like 52-60 and eliminate others.
now for 55 days he receive 55*24=1320 and fine 6*15= 90 so total 1320-90= 1230
option is 6

Like? Yes (1) | No   

revathy   11 years AGO

total gain without absent = rs.1680. the amount he got = rs.1230. one day loss if he absent = 24(one day salary) + 6(fine) = rs.30. so 1680-1230=450.. 450/30=15 days absent. 70-15= 55 days.. :)

Like? Yes (1) | No   

sambasiva rao   11 years AGO

let take x as working days
not working days are=70-x
from given
x*24-(70-x)6=1230
by solving it
x=55

Like? Yes (1) | No   

Shekhar Suman   11 years AGO

ans.6)
let X is nos of working day
y nos of absent day
thus x+y=70 ..............(1)
And 24x-6y=1230...........(2)
now y will be 70-x
put it on eqn(2)
24x-6(70-x)=1230
30x=1650
x=55
therefore nos of working day is 55.
ans.6)

Like? Yes (1) | No   

Shubham Sahgal   11 years AGO

let x be the days he worked and y be the days he is absent.
so => x+y=70
24x-6y=1230
hence x=55

Like? Yes (1) | No   

raghu   11 years AGO

working days x
absent y
x+y = 70
24x-6y = 1230
solve for x and y
x= 55.

Like? Yes (1) | No   

Sandeep Negi   11 years AGO

Working da

Like? Yes (1) | No   

aniruddh shrivastava   11 years AGO

if working days are X then non working day will be 70-X,
so
X*24-6*(70-X)= 1230
after solving we get
X = 55.

Like? Yes (1) | No   

ankur pratap singh   11 years AGO

let man work for x days;
not worked = 70-x days;
24*x-6*(70-x)=1230;
30x-420=1230;
x=(1230+420)/30;
x=1650/30=55;
55 days he work...

Like? Yes (1) | No   

CHANDRAKANT DINKAR SOLANKE   11 years AGO

difference betn 1680 n 1230 is 450 then divide it by
30(24 for absent + 6 for fine) it becomes 15 days leave ...final ans =70-15=55

Like? Yes (1) | No   

Md Shahnawaz Shahab   11 years AGO

x+y=70
24x-6y=1230

solving the above equation simultaneously, we get x = 55

Like? Yes (1) | No   

Bagmita Chanda   11 years AGO

let he worked for x days,
so was absent for 70-x days
So, x*24-(70-x)*6=1230
=> 24x-420+6x=1230
=> 30x=1230+420=1650
=> x=1650/30
=55
so,he worked for 55 days

Like? Yes (1) | No   

nithya   11 years AGO

total days = 70
number of days work = x
number of days absent = 70-x
total amount = Rs. 1230
working day = Rs. 24/day
absent day =Rs. 6/day for fine.
24x- 6(70-x) = 1230.
24x - 420 +6x = 1230
30x= 1650.
x = 55
Ans: working days : 55

Like? Yes (1) | No   

saisaranya   11 years AGO

if he works for all 70hrs then he has to recieve 1320 but he received 1230 1320-1230=90 he is absent for 70-55=15 days 15*6=90 so answer is 55

Like? Yes (1) | No   

Durga Singamsetti   11 years AGO

let x be the working days & y be the absent days by man
money earned for working days - money fined for absent days = 1230 i.e., 24x-6y=1230
total no.of days(working days + absent days)=70 i.e., x+y=70
solving the two equations we obtain we get the answer as 55

Like? Yes (1) | No   

Balakrishnan M   11 years AGO

Number of days Present in x days.
Number of days absent in y days.
x+y=70
y=70-x
24*x+(70-x)*(-6)=1230
24x-420+6x=1230
30x=1230+420
30x=1650
x=55 days.
55 days did he work.

Like? Yes (1) | No   

mani krishna reddy   11 years AGO

let x be no. of days he work
so no. of absents =70-x
24*x-6*(70-x)=1230
solving this we get x=55

Like? Yes (1) | No   

IFFAT IRAM   11 years AGO

total no. of working days=70
let no. of days he worked be x
no. of days he is absent = 70-x
so,
24x-6(70-x)=1230
x=55

Like? Yes (1) | No   

sajjan kumar   11 years AGO

for daily absent work lost money=24+6=30
70*24=1680
1680-1230=450
450/30=15
70-15=55

Like? Yes (1) | No   

Ritesh Anand   11 years AGO

1230/24 = 51.25
So, total number of working days must be greater than and close to 51 (not closest)
if total number of working days = 55
Income = Rs 24 * 55 = Rs 1320
then, his fine = Rs 6 * (70-55) = Rs 90
So, his final salary = Rs 1230

Like? Yes (1) | No   

ashok kumar   11 years AGO

checking the options
55*24-15*6=1230

Like? Yes (1) | No   

suneetha   11 years AGO

working days=x
absent days=70-x
x*24-(70-x)*6=1230
so x=55

Like? Yes (1) | No   

Anil Kumar Bharti   11 years AGO

Exp:
Let he was absent X day
by questions...
70*24-X*30=1230
1680-30X=1230
so, X=15
Hence Presented day are =70-15=55 Days Ans

Like? Yes (1) | No   

rathinaganesh   11 years AGO

whatever it may be the reason , the man get Rs24 for all 70 days .
If he absent then his one day salary will be reduced to Rs18.(i.e)24-6
He receive altogether Rs.1230.
calculate the salary for 70 days
70*24=1680.
therefore he get the deduction of Rs 450
divide 450 by 18 we get 25
hence he absent for 25 days
The answer is 55 (i.e)70-25=55.

Like? Yes (1) | No   

Udhaya kumar   11 years AGO

from given data
let x as working days
y as absent
24x-6y=1230
x+y=70
by solving these we get x=55,y=15
answer is 55.........

Like? Yes (1) | No   

shanthan   11 years AGO

because 55 multiply by 24 is 1320 and subtracted by

Like? Yes (1) | No   

Jasmine Khan   11 years AGO

let,
x be the no of days he worked and y be the no of days he did not work.
x+y=70 and 24x-6y=1230
solve the equations we get
x=55 and y=15
therefore he worked for 55 days

Like? Yes (1) | No   

Alok kumar   11 years AGO

55*24=1320
(70-55)*6=90
1320-90=1230 that he received

Like? Yes (1) | No   

jatin patware   11 years AGO

24*x-(70-x)*6=1230
=>x=55 means he works for 55 days
hence option 6 is correct

Like? Yes (1) | No   

putsala devi vijaya   11 years AGO

let working days x
24*x-(70-x)6=1230
solve
x=55
option:6

Like? Yes (1) | No   

Aniket Kumar   11 years AGO

The correct answer is 55 because when he works for 55 days, he gets 55 x 24 = Rs. 1320 but since he is absent for 70 - 15 = 55 days, he will get in total Rs (1320 - (15*6)) = Rs 1230.

To solve, assume no of days he worked as x.

Equation becomes (x*24) - ((70-x)*6) = 1230

Like? Yes (1) | No   

balaji ponnambalam   11 years AGO

trail and error method solved 55*24=1320
absent days 15*6=90 so, 1320-90=1230

Like? Yes (1) | No   

ravi singh   11 years AGO

let, man come in X day's then man not come = (70-X) day's

hence,
24*X - (70-X)*6 = 1230

by solving this X= 55 day's

Like? Yes (1) | No   

Ronit Tarankear   11 years AGO

He earned 450 rs less than what he was supposed to earn. Each day he was absent he lost 24 rs + 6 rs = 30 rs. So, 450/30=15. He was absent 15 days out of 70 which means 55 presents.

Like? Yes (1) | No   

JITENDRA KR.BAROLIYA   11 years AGO

let he works x days and absent is y days
so 24x-6y=1230 (1)
and x+y=70 (2)
from 1 &2
30x=1650
x=55

Like? Yes (1) | No   

raksha agrawal   11 years AGO

let no. of days worked is x and not worked is y
then x+y=70
and 24x-6y=1230
after solving these 2 equations:
x=55 days

Like? Yes (1) | No (2)