Mummy gives Ramesh Rs. 10 to buy some chocolates. Three chocolates cos...
Solution:
Given, Rs. 10 to buy chocolates, and 3 chocolates cost Re.1, also 3 chocolate wrappers can be exchanged for 1 chocolate.
To maximize the number of chocolates that Ramesh can buy, he needs to use the wrappers to get more chocolates.
Let's assume that Ramesh buys "x" chocolates with Rs. 10, then he will get "x" chocolate wrappers.
Ramesh can exchange 3 chocolate wrappers for 1 chocolate. Hence, he can get x/3 chocolates by exchanging the wrappers.
Again, he will get x/3 wrappers from these chocolates, which he can further exchange for more chocolates.
He can repeat this process until he is left with less than 3 wrappers, which cannot be exchanged for more chocolates.
Hence, the maximum number of chocolates that Ramesh can buy using Rs.10 without leaving any wrapper behind is 45 chocolates.
Explanation:
To understand the solution in detail, let's break it down into steps:
Step 1: Calculate the number of chocolates that Ramesh can buy with Rs. 10.
Since 3 chocolates cost Re.1, Ramesh can buy 3*10 = 30 chocolates with Rs. 10.
Step 2: Calculate the number of wrappers Ramesh will get.
If Ramesh buys "x" chocolates with Rs. 10, then he will get "x" chocolate wrappers.
Hence, if he buys 30 chocolates with Rs. 10, he will get 30 wrappers.
Step 3: Exchange the wrappers for more chocolates.
Ramesh can exchange 3 chocolate wrappers for 1 chocolate. Hence, he can get x/3 chocolates by exchanging the wrappers.
If Ramesh exchanges all his 30 wrappers, he will get 30/3 = 10 chocolates.
Step 4: Repeat the process until there are less than 3 wrappers left.
Again, he will get x/3 wrappers from these chocolates, which he can further exchange for more chocolates. He can repeat this process until he is left with less than 3 wrappers, which cannot be exchanged for more chocolates.
If Ramesh repeats this process, he will get:
- 3 chocolates from the 10 wrappers
- 1 wrapper from these 3 chocolates
- 1 more chocolate from 3 wrappers
- 1 wrapper from this chocolate
- 1 more chocolate from 3 wrappers
Hence, Ramesh can get 10 + 3 + 1 + 1 = 15 chocolates in total.
If he repeats the process again, he will get:
- 3 chocolates from the 5 wrappers
- 1 wrapper from these 3 chocolates
- 1 more chocolate from 3 wrappers
Hence, Ramesh can get 15 + 3 + 1 = 19 chocolates in total.
If he repeats the process again, he will get:
- 3 chocolates from the 2 wrappers
Hence, Ramesh can get 19 + 3 = 22 chocolates in total.
If he repeats the process again, he will get:
- 1 chocolate from the 1 wrapper
Hence, Ramesh can get 22 + 1 = 23 chocolates in total.
If he repeats the process again, he will get:
- No chocolates as he will have only 1 wrapper left.
Hence,
Mummy gives Ramesh Rs. 10 to buy some chocolates. Three chocolates cos...
First he took 30 chocolates and paid rupees ten then he gave back 30 wrappers and took 10 chocolates then he gave 9 wrappers and took 3 chocolates now he has 2 extra wrappers left now at the end he takes 1 more chocolate and gives back the last 3 wrappers.
30+10+3+1+1=45