Math, asked by michaelgelbolingo55, 6 months ago

a clerk is paid 45.25 per hour for 40 hours a week,1.50times the regular rate for overtime and double the rate for a holiday.How much does Clerk get if he works overtime for 5hours and 2 hours on holiday?

pls 4 step solving problem
pplsss answer this its been a 2 weeks I can't answer this​

Answers

Answered by roshinik1219
15

Given:

  • A clerk is paid 45.25\\ per hour for 40hours\\ a week.
  • He gets paid 1.5\\ times regular rate for over time.
  • He gets paid double\\ the regular rate for a holiday.

To find:

To find how much amount the clerk gets if he works overtime for 5\\ hours and 2\\ hours on a holiday.

Formula to be used:

  • From the question, it is understood that, the clerk worked for 40hours\\ in a week for regular rate and also worked for 5 hours\\ overtime, 2 hours\\ on a holiday. Let the final pay he gets, be denoted by 'A\\'.
  • Let the regular amount paid to the clerk be denoted by 'A_1\\'.
  • Let the amount to be paid to the clerk, for his overtime be denoted by  'A_2\\'.
  • Let the amount paid to the clerk, for working on holiday be denoted by 'A_3\\'.
  • The final amount paid to the clerk is given by:

A=A_1+A_2+A_3\\

Step-wise Solution:

Step-1:

  • The clerk gets 45.25\\ per hour for 40\\ hours, as a regular rate.

A_1=40*45.25\\A_1=1810\\

Step-2:

  • This step involves finding the amount paid clerk due to overtime.
  • It is given that, the clerk will be paid 1.5\\ times the regular rate, if he works overtime per an hour.
  • Also, given that, the clerk worked overtime for 5\\ hours.
  • The amount 'A_2\\' is calculated as follows:

A_2=5*(1.5*Regular pay)\\A_2=5*1.5*45.25\\A_2=339.375\\

⇒ The clerk gets 339.375\\ for his work of 5hours\\ as overtime.

Step-3:

  • This step involves finding the amount paid to clerk for his work of 2hours\\ on a holiday.
  • As per the given data, the clerk will be paid double\\ the regular rate per hour, if he works on a holiday.
  • Also, it is given that, the clerk worked for 2 hours\\ on a holiday.
  • Hence, the amount for working on a holiday is given by:

A_3=2(2*Regular pay)\\A_3=2*2*45.25\\A_3=181\\

⇒ The clerk gets 181\\ for his work of 2hours\\ on a holiday.

Step-4:

  • This step involves, finding the total pay received by the clerk for his work in that week.
  • From the above calculations, the total amount paid to the clerk is given by:

A=A_1+A_2+A_3\\A=1810+339.375+181\\A=2330.375\\

Final Answer:

∴The final amount earned by the clerk at the end of the week is 2330.375\\.

Answered by RvChaudharY50
6

Given :- A clerk is paid 45.25 per hour for 40 hours a week 1.50 times the regular rate for overtime and double the rate for holiday. How much does the clerk get if he works overtime for 5 hours and 2 hours on holiday ?

Solution :-

given that, A clerk is paid 45.25 per hour for 40 hours a week .

So,

→ salary of one hour = Rs.45.25

than,

→ salary of 40 hours = 45.25 * 40 = Rs.1810 .

Now, given that, he gets 1.5 time of the regular rate for overtime . and , he work overtime for 5 hours.

So,

→ salary of per hour overtime = 1.5 * regular rate = (1.5 * 45.25)

than,

→ salary of 5 hours overtime = 5 * (1.5 * 45.25) = Rs.339.375 .

now, given that, he gets 2 times of regular rate for holiday . and, he work 2 hours on holiday .

So,

→ salary of per hour holiday = 2 * regular rate = (2 * 45.25)

than,

→ salary of 2 hours holiday = 2 * (2 * 45.25) = Rs.181.

Therefore,

→ Clerk total salary = salary of 40 hours + salary of 5 hours overtime + salary of 2 hours holiday = 1810 + 339.375 + 181 = Rs.2330.375 . (Ans.)

Hence, cleark gets total of Rs.2330.375.

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