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If Charlie decides to cut the salary per employee at his
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09 Jul 2013, 00:39
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65% (02:33) correct 35% (02:41) wrong based on 166 sessions
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If Charlie decides to cut the salary per employee at his company by 20%, five more employees can be hired for 100,000$ than can be hired at original salary. How many individuals can be hired by Charlie at the original salary if he has 50,000$ to spend on salary. A. 10 B. 12 C. 15 D. 16 E. 20
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Re: If Charlie decides to cut the salary per employee at his
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09 Jul 2013, 01:00
Let original salary be 'X' No. of people that can be hired on original salary using $100,000 = $100,000 / X No. of people that can be hired on 20% less salary using $100,000 = $100,000 / (1 20%)X = $100,000 / 0.8X Given: ($100,000 / X)  ($100,000 / 0.8X) = 5 Solve for X=> X = 5000 No. of people that can be hired on original salary using $50,000 = $50,000 / X = $50,000 / $5000 = 10 Hence the answer 'A'



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Re: If Charlie decides to cut the salary per employee at his
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09 Jul 2013, 01:05
guerrero25 wrote: If Charlie decides to cut the salary per employee at his company by 20%, five more employees can be hired for 100,000$ than can be hired at original salary. How many individuals can be hired by Charlie at the original salary if he has 50,000$ to spend on salary.
A. 10 B. 12 C. 15 D. 16 E. 20 Backsolving works perfectly for this problem. One can also use algebraic way:Say the average salary is x, then we would have: 100,000/(0.8x)  100,000/x=5 > x=5,000 > 50,000/5,000=10. Answer: A.
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Re: If Charlie decides to cut the salary per employee at his
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09 Jul 2013, 01:19
guerrero25 wrote: If Charlie decides to cut the salary per employee at his company by 20%, five more employees can be hired for 100,000$ than can be hired at original salary. How many individuals can be hired by Charlie at the original salary if he has 50,000$ to spend on salary.
A. 10 B. 12 C. 15 D. 16 E. 20 Original salary = X New salary = 0.8X (because less than 20%) Original number of employee: N New number of employee: N +5 Total salary = 100,000 *equation 1: \((N + 5)*0.8X = 100,000\) *equation 2: \(N*X = 100,000\) X = 5000 If total salary = 50,000 ==> Number of employees = 50,000/5000 = 10 Hence, A
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Re: If Charlie decides to cut the salary per employee at his
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Updated on: 05 Mar 2014, 23:19
One can also use algebraic way: Say the average salary is x, then we would have: 100,000/x100,000/(0.8x)=5 > x=5,000 > 50,000/5,000=10The above is coming up ve; \(\frac{100,000}{(0.8x)}  \frac{100,000}{x}\) = 5 ; x = 5000
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Originally posted by PareshGmat on 23 Oct 2013, 01:13.
Last edited by PareshGmat on 05 Mar 2014, 23:19, edited 1 time in total.



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Re: If Charlie decides to cut the salary per employee at his
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12 Feb 2014, 06:13
Backsolving works perfectly for this problem.
Here’s the deal. We know that 4/5r * q+5 = 100. Now, we r is now half (50) instead of 100. Therefore, to backsolve we need to multiply each answer choice by 2. But here’s another thing, it must be divisible by 100 since q is the number of people and must be an integer. The only answer choice that when doubled is a multiple of 100 is A. Let's check 4/5*5 * 25 = 4*25= 100.
A it is!
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Re: If Charlie decides to cut the salary per employee at his
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18 Aug 2018, 18:23
guerrero25 wrote: If Charlie decides to cut the salary per employee at his company by 20%, five more employees can be hired for 100,000$ than can be hired at original salary. How many individuals can be hired by Charlie at the original salary if he has 50,000$ to spend on salary.
A. 10 B. 12 C. 15 D. 16 E. 20 We can let s = the original salary per employee and n = the number of new employees that can be hired at the original salary. . So we have: ns = 100,000 Now, if we cut the salary by 20%, the new salary per employee is 0.8s. If we can hire 5 additional new employees at that new lowered salary, then we can hire (n + 5) new employees. Thus, we have: (n + 5)(0.8s) = 100,000 Expanding the second equation, we have: 0.8ns + 4s = 100,000 Since ns = 100,000, we have: 0.8(100,000) + 4s = 100,000 80,000 + 4s = 100,000 4s = 20,000 s = 5,000 Since the original salary per employee is $5,000, we see that Charlie can hire 10 employees for $50,000. Answer: A
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