The rate of VAT on the vacuum cleaner is 15%
<h3>How to determine the
rate of VAT?</h3>
The given parameters are:
Selling price = Rs 12000
Discount = 12%
Amount Paid = 12144
The amount paid is calculated as:
Amount Paid = Selling Price * (1 - Discount) * (1 + VAT)
So, we have
12144 = 12000 * (1 - 12%) * (1 + VAT)
Evaluate the difference
12144 = 12000 * 0.88 * (1 + VAT)
Evaluate the product
12144 = 10560 * (1 + VAT)
Divide both sides by 10560
1.15 = (1 + VAT)
Subtract 1 from both sides
VAT = 0.15
Express as percentage
VAT = 15%
Hence, the rate of VAT on the vacuum cleaner is 15%
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Answer:
63 meters
Step-by-step explanation:
144-81=63
<h3>Answer:</h3>
There are 40,320 ways, in which 8 books can be arranged on a shelf.
<h3>Solution:</h3>
Here, we are to find the number of ways in which 8 books can be arranged on a shelf. The total number of books is 8 and the way of arranging books is also 8.
- If one book is placed in the first place, then 7 books will be placed in front of it. If 2 books are placed in the 2nd place, then only 6 books can be placed after that book. This sequence will continue till 1 .
<u>Permutations </u><u>:</u>
- A permutation is an arrangement of objects in a definite order.
➲<u> P ( n, r )= n ! / ( n - r ) !</u>
- n = total number of objects
- r = number of objects selected
The number of ways to arrange 8 books on a shelf will be :
➝ P ( n, r ) = n ! / ( n - r ) !
➝ P ( n, r ) = 8 ! / ( 8 - 8 ) !
➝ P ( n, r ) = 8 ! / 0 !
➝ P ( n, r ) = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 1
➝ P ( n, r ) = 40, 320
ㅤㅤㅤㅤㅤㅤ~ Hence, there are <u>40,320 ways</u> in which 8 books can be arranged on a shelf !
