### Brain Teasers

# The Cloak

A butler is promised $100 and a cloak as his wages for a year. After 7 months he leaves this job, and receives the cloak and $20 as his payment. How much is the cloak worth?

### Answer

$92Hide Answer Show Answer

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## Comments

this makes absolutely no sense. According to the riddle as stated, the cloaks's worth is never discussed.

can someone please explain how

ok, i finally figured out how:

12 months wage = 100 + c (where c stands for cloak)

Then 7 months wage is equal to

7 * (100 + c)/12

This has been given as equal to c + 20.

So, 7 * (100 + c)/12 = c + 20

solving this equation for c gives the cost of cloak as $92.

12 months wage = 100 + c (where c stands for cloak)

Then 7 months wage is equal to

7 * (100 + c)/12

This has been given as equal to c + 20.

So, 7 * (100 + c)/12 = c + 20

solving this equation for c gives the cost of cloak as $92.

This is similar to another teaser on here; I prefer another way of solving it...

The last 5 months are worth $80 (difference between 12 months pay and 7 months pay), which is $16 per month. Therefore, the first 7 months are worth 7*16=$112. For this he was given the cloak and $20, so the cloak is worth $92. I find this much simpler than the algebra

The last 5 months are worth $80 (difference between 12 months pay and 7 months pay), which is $16 per month. Therefore, the first 7 months are worth 7*16=$112. For this he was given the cloak and $20, so the cloak is worth $92. I find this much simpler than the algebra

I did it the same as leftclick. Algebra is soooo overused in the solutions on Braingle when a little common sense gives a much easier way to solve the problem. What are they teaching in school these days?

I second lefty! I third Java!!

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