A man starts from his house with some money to visit four temples.
1. As soon as he enters temple 1 his money gets doubled. He donates 100 rs and moves.
2. At temple 2 again his money is doubled and he donates 100 rs.
3. His money is doubled again at temple 3 and he donates 100 rs.
4. At temple 4 again his money gets doubled. He donates 100 rs again
and returns home empty hand.
How much money he had when he started from his house???
Answers
Answer:
He had Rs 93.75 when he started from his house
Step-by-step explanation:
At Temple 4 he had 50 rupees, which got doubled. He donated 100 and had zero money in his hand.
At Temple 3 he had 75 rupees, which got doubled (Rs. 150) and donated Rs.100.
At Temple 2 he had 87.5 rupees, which got doubled (Rs. 175) and donated Rs.100
At Temple 1 he had 93.75 rupees, which got doubled (Rs. 187.50) and donated Rs.100.
Answer:
The man started with Rs. 93.75
Step-by-step explanation:
Given :
Every time he enters a temple, the money gets doubled and he donates Rs. 100 from it.
At the end, the man doesn't have any money
To find :
Amount he started with
Solution :
Consider the amount which man started with as y
- Temple 1 -
Money gets doubled = 2 × y = 2y
Rs. 100 donated = (-100)
⇒ 2y - 100 ---- (Temple 1)
_________________________
With the amount he got from Temple 1, he goes to Temple 2,
- Temple 2 -
Money gets doubled = 2(2y - 100)
Rs. 100 donated = (-100)
⇒ 2(2y - 100) - 100
⇒ 4y - 200 - 100
⇒ 4y - 300 ---- (Temple 2)
_________________________
- Temple 3 -
Money gets doubled = 2(4y - 300)
Rs. 100 donated = (-100)
⇒ 2(4y - 300) - 100
⇒ 8y - 600 - 100
⇒ 8y - 700 ---- (Temple 3)
__________________________
- Temple 4 -
Money gets doubled = 2(8y - 700)
Rs. 100 donated = (-100)
⇒ 2(8y - 700) - 100
⇒ 16y - 1400 - 100
⇒ 16y - 1500 ---- (Temple 4)
_________________________
According to the question,
Man has Rs. 0 when he returns back home.
⇒ Amount from temple 4 = 0
⇒ 16y - 1500 = 0
⇒ 16y = 1500
⇒ y = 1500/16
⇒ y = 93.75
Amount he started with = Rs. 93.75
.°. The man started with Rs. 93.75