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24 Dec 2024, 11:03
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b% - b/2%=100%−m%
after simplifying we get
b=200−2m
Option 1: m=30
b=200−2(30)=200−60=140 (not a valid option)
Option 2: m=45
b=200−2(45)=200−90=110(not a valid option)
Option 3: m=50
b=200−2(50)=200−100=100 (not a valid option)
Option 4: m=55
b=200−2(55)=200−110=90(valid option)
Option 5: m=60
b=200−2(60)=200−120=80(not a valid option)
Option 6: m=90
b=200−2(90)=200−180=20(not a valid option)
after simplifying we get
b=200−2m
Option 1: m=30
b=200−2(30)=200−60=140 (not a valid option)
Option 2: m=45
b=200−2(45)=200−90=110(not a valid option)
Option 3: m=50
b=200−2(50)=200−100=100 (not a valid option)
Option 4: m=55
b=200−2(55)=200−110=90(valid option)
Option 5: m=60
b=200−2(60)=200−120=80(not a valid option)
Option 6: m=90
b=200−2(90)=200−180=20(not a valid option)
Bunuel
24 Dec 2024, 11:05
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As both wallets have identical maximum capacities,
We assume both wallets have maximum capacity of 100 tokens
Initial wallet balance:
Main wallet= m tokens
Backup wallet= b tokens
For optimisation, X tokens were transferred from main to backup wallet.
Final wallet balance:
Main wallet= 100 tokens = m+X
Backup wallet= b/2 tokens = b-X
X= 100-m = b-b/2
100-m = b/2
m=100-(b/2)
Substituting b=50,60,90 (considering larger values only as b>m)
b=50 => m=100-25=75 (not posible as b>m)
b=60 => m=100-30=70 (not posible as b>m)
b=90 => m=100-45=55
b=90, m=55
We assume both wallets have maximum capacity of 100 tokens
Initial wallet balance:
Main wallet= m tokens
Backup wallet= b tokens
For optimisation, X tokens were transferred from main to backup wallet.
Final wallet balance:
Main wallet= 100 tokens = m+X
Backup wallet= b/2 tokens = b-X
X= 100-m = b-b/2
100-m = b/2
m=100-(b/2)
Substituting b=50,60,90 (considering larger values only as b>m)
b=50 => m=100-25=75 (not posible as b>m)
b=60 => m=100-30=70 (not posible as b>m)
b=90 => m=100-45=55
b=90, m=55
24 Dec 2024, 11:08
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In TPA questions its always better to form a strategy first before solving.
The stem tells us that;
And we have to select;
Now due to new regulations, transfer will occur;
New holding in main wallet= mc/100+bc/200
New holding in backup wallet=bc/200
Also, mc/100+bc/200=c
Or, m/100 + b/200 = 1
Or, 2m+b=200
Since b>m;
Looking at the options;
The only suitable choices are
m=55
b=90
The stem tells us that;
- An investor has two cryptocurrency wallets, Main and Backup
- The Main wallet holds m% of its maximum capacity, while the Backup wallet holds b% of its maximum capacity.
- Both wallets have identical maximum capacities (c)
- Due to new regulations, the investor must optimize storage by transferring tokens from the Backup wallet to the Main wallet until the Main wallet reaches its maximum capacity
- After this transfer, the Backup wallet contains exactly half of its previous percentage.
- the Backup wallet initially held a higher percentage than the Main wallet
And we have to select;
- for m the possible value of m
- for b the possible value of b
| Main | Backup |
| m% of capacity | b% of capacity |
Now due to new regulations, transfer will occur;
New holding in main wallet= mc/100+bc/200
New holding in backup wallet=bc/200
Also, mc/100+bc/200=c
Or, m/100 + b/200 = 1
Or, 2m+b=200
Since b>m;
Looking at the options;
The only suitable choices are
m=55
b=90
