How much money did he have to begin with?
A man spends one fifth of the money in his wallet.
He then spends one fifth of what remains in the wallet.
He spends $36.00 in all.
How much money did he have to begin with?
Let initial amount he has is $ x.
Then after 1st transaction, amount spent: x/5.
So, left amount: 4*x/5.
Now, spend amount: 4*x/25.
According to question: x/5+4*x/25=36.
So, x=$100.
$56.25
1/5 of $56.25 is $11.25, leaving him with $45.
1/5 of $45 is $9, leaving him with $36.
The amount left after spending 1/5 is 4/5. Doing this twice would equal 16/25. Divide 36 by (16/25) to get the answer.
x = wallet
1st spend:
(1/5)x
Balance after 1st spend:
x – (1/5)x = (4/5)x
2nd spend:
(1/5)x * (4/5)x = (4/25)x
Total spend:
(1/5)x + (4/25)x = (5/25)x + (4/25)x = (9/25)x = $36
Solve for x (wallet):
(9/25)x = $36
x = ($36) * (25/9)
x = $900 / 9
x = $100
Your Answer
More puzzles to try-
Use the Homophones riddle
Use the homophones “to”, “too”, and “two” in one question.Read More »Monk Temple Ride Riddle
A monk has a very specific ritual for climbing up the steps to the temple. First, he climbs up to ...Read More »Silent in the Parliament
who is silent in the parliament?Read More »Number of days worked
A man persuaded Weary Willie, with some difficulty, to try to work on a job for thirty days at eight ...Read More »Easy to in Hard to out
As easy as you can get into me, it is as hard to get out of me. Do you know ...Read More »Black or Brown Gloves
Mr. Brown has 8 black gloves and 8 brown gloves in his closet. He blindly picks up some gloves from ...Read More »The Diamond box brain teaser
A man is on the bank of a river. He has a small box, a chain, a lock (like a ...Read More »Jumps when it walks and sits when it stands riddle
What jumps when it walks and sits when it stands?Read More »Game of Chess
In the Chess Board picture below white army is arranged. You need to add a black army on the board ...Read More »New your city hair count bet
You are visiting New York City when a man approaches you. \”Not counting bald people, I bet a hundred bucks ...Read More »Theft on Japanese ship puzzle
A Japanese ship is on a mission toward United States. Just before the destination, the captain decides to take a ...Read More »Has two eyes riddle
It is flat as a leaf, round as a ring, Has two eyes, can not see a thing. What is ...Read More »never rude for you
I never be rude for you, Though I flag my tongue for all to see. Who am I?Read More »Car Driver Eye Color
You are a cab driver who pools passengers. You pick 3 people from a destination and drop 1 after an ...Read More »The thief
Everyday a biker would carry a bag of sand through a border with a different bike. A policeman would see ...Read More »He see through
You can not see it, but he can see you; To be more specific, he see through. What is he ...Read More »Best Place to Shop
What\’s the best place to go shopping in the ocean?Read More »Who is the real mother
Who is the real mother?Read More »Drive without wheel
This object can be driven, but has no wheels, and can also be sliced and remain whole. What is this?Read More »Player Friends Riddle
Jim has three close friends at his school: Michael, John and Alice. Two of them play football, two play basketball ...Read More »