Let's break down the question into its parts and solve them step by step.
a) Re-write the budget amount in numeral using commas in International System.
The budget amount given in the Nepali numbering system is: eighty-four arab ninety-one crore forty-two lakh seven thousand four hundred rupees.
We need to convert this into the International numbering system and use commas to separate digits as per the international standards.
First, let's understand the place value in both the Nepali and international systems:
In the Nepali system:
1 arab = 100 crore
1 crore = 10 lakh
1 lakh = 100,000
In the international system:
1 billion = 1,000 million
1 million = 1,000 thousand
1 thousand = 1,000
Now, let's convert the Nepali amounts to their numerical value:
- Eighty-four arab = 84 x 100 crore = 84 x 100 x 10 lakh = 84 x 100 x 10 x 100,000
- Ninety-one crore = 91 x 10 lakh = 91 x 10 x 100,000
- Forty-two lakh = 42 x 100,000
- Seven thousand four hundred = 7,400
Let's calculate the total amount in rupees:
Total rupees = (84 x 100 x 10 x 100,000) + (91 x 10 x 100,000) + (42 x 100,000) + 7,400
Total rupees = 84 x 10^8 + 91 x 10^7 + 42 x 10^5 + 7,400
Total rupees = 8,400,000,000 + 910,000,000 + 4,200,000 + 7,400
Total rupees = 8,491,427,400
In the International System, this number can be written using commas as:
8,491,427,400
b) Re-write the budget amount in words according to International System.
In the International System, we need to group the digits as per billions, millions, thousands and so on:
- 8 billion
- 491 million
- 427 thousand
- 400
Hence, the budget amount in words according to the International System is:
Eight billion, four hundred ninety-one million, four hundred twenty-seven thousand, four hundred.
c) During the construction of the project if the cost is increased by 1.5 billion, calculate the actual budget amount.
The initial budget amount is 8,491,427,400 rupees. We need to calculate the new budget amount if the cost increases by 1.5 billion rupees.
1.5 billion rupees in numeral form is:
1,500,000,000 rupees
The actual budget after the cost increase is:
Initial budget + Increased cost
= 8,491,427,400 + 1,500,000,000
= 9,991,427,400 rupees
d) Re-write the actual amount in words according to Nepali System.
Now we have the actual budget amount as 9,991,427,400 rupees. We want to rewrite this in the Nepali system:
1 arab = 100 crore, so we find the number of arabs by dividing by 100 crore:
Number of arabs = 9,991,427,400 / (100 x 10,000,000) = 99
To find the remaining amount, we calculate the remainder after removing the arabs:
Remaining after arabs = 9,991,427,400 % (100 x 10,000,000) = 91,427,400
Now we look for the number of crores in the remaining amount:
Number of crores = 91,427,400 / 10,000,000 = 9
To find the remaining amount, we calculate the remainder after removing the crores:
Remaining after crores = 91,427,400 % 10,000,000 = 1,427,400
Next, we look for the number of lakhs in the remaining amount:
Number of lakhs = 1,427,400 / 100,000 = 14
To find the remaining amount after lakhs:
Remaining after lakhs = 1,427,400 % 100,000 = 27,400
Now we count in terms of thousands (in Nepali system, this is often referred to in terms of thousands while in the international system it would be in hundred thousands):
Number of thousands = 27,400 / 1,000 = 27
There is no remaining amount as it's exactly 27,400.
Now we can write the actual budget amount in words according to the Nepali system as:
Ninety-nine arab nine crore fourteen lakh twenty-seven thousand four hundred.
