Thomas works eight days per month at a company as a freelance translator, with a basic salary of 250 dollars per month and an extra amount of money for any overtime hours he works. When he worked 25 overtime hours, he was paid 637 dollars 50 at the end of the month. Next year, the company will raise the basic salary of each translator by 30 percent. But it will not change the amount of money each translator is paid for each hour of overtime. Next year, if Thomas works 40 hours of overtime in a month, how much will he be paid at the end of that month?
So now the first thing we need to do is work out how much Thomas will get per hour for his overtime. So initially, what we’re gonna do is work out what his total overtime pay is going to be. And to do that, we’re gonna subtract 250, so his basic salary, away from the total pay for the month, which was 637 dollars 50. And when we do that, we get 387 dollars 50. So that’s gonna be his overtime pay in the month where he worked 25 overtime hours.
So now if we want to work out his overtime rate, what we’re gonna do is divide his total overtime pay, which is 387 dollars 50, by 25, because that’s the number of overtime hours he worked that month. And when we do that, we get 15 dollars 50. So that’s his overtime pay per hour. So we can say that he gets 15 dollars and 50 cents per hour for every overtime hour he works.
So now if we take a look at the next year, and we want to work out how much he’s gonna get paid in a month where he works 40 hours of overtime. Well, first of all, we’ll calculate his overtime pay, cause we’re told that that’s not affected by the pay increase. So to do that, what we’re gonna do is 40 multiplied by 15 dollars 50, which is gonna be equal to 620 dollars.
Well, we can work that out again using a calculator. But if we wanted to use a mental method, we could do four multiplied by 15, which is 60; 0.5 multiplied by four, which is two; add them together, which gives us 62. And then add on a zero because we’re multiplying by 10, because it’s multiplying by 40, not four. And we get our 620.
Okay, so we know that, for that month, Thomas would get 620 dollars overtime pay. But now let’s work out his basic pay. Well, to work out Thomas’s basic pay, what we’re going to do is multiply 1.3 by 250 dollars. And that’s because his basic pay is increased by 30 percent. Well, if we think about why this would be, well if we think about his basic pay being 100 percent and we want to increase it by 30 percent, it’d be 100 percent add 30 percent, which would give us 130 percent.
However, if we wanted to convert this into a decimal, then what we’d do is divide it by 100, because percent is out of 100. So we’d have 130 divided by 100, which would be 1.3. So therefore, our decimal multiplier would be 1.3. And if we think about it, it makes sense, because if we wanted 100 percent or just the whole of something, we’d multiply it by one, cause it wouldn’t change. But if we wanted to increase it by something, we want it greater than one, so 1.3 makes sense.
So when we do this, we get 325 dollars. Again, we do this with a calculator. But if we’d want a mental or written method, we could’ve used this method, which would be to do 10 percent. So 10 percent of 250 we’d find by dividing it by 10. So that’d be equal to 25. So therefore, 30 percent would be three times this. So it’ll be 75. So we’d just add 75 and 250, which would give us our 325 dollars.
So therefore, we can work out the total pay because the total pay for the month where Thomas earns 40 hours next year where the pay for basic pay has been increased by 30 percent is gonna be equal to 620 add 325, which will give him a total pay at the end of that month of 945 dollars.