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3 years ago

If the cost of an item with VAT is Rs 1,356 and without VAT is Rs 1,200, find the VAT?

Mathematics

1 answer:

Licemer1 [7]3 years ago

6 0

Given:

Cost of an item with VAT = Rs 1,356

Cost of that item without VAT = Rs 1,200.

To find:

The VAT.

Solution:

We have,

Cost of an item with VAT = Rs 1,356

Cost of that item without VAT = Rs 1,200.

We know that,

VAT = Cost of an item with VAT - Cost of that item without VAT

= 1356 - 1200

= 156

Therefore, the value of VAT is $156.

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Answer:

Following system of equations have exactly one solution:

$2 x + 4 y = 6\\ 3 x - 4 y = 9$

Step-by-step explanation:

Given 4 system of equations:

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2nd

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$- 3 x + 4 y = 2\\ 3 x - 4 y = 0$

4th

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To find: Which system of equations has only one solution?

Solution:

First of all, let us learn the concept.

Let the equation of lines be:

$a_1x+b_1y+ c_1=0$ and $a_2x+b_2y+ c_2=0$

1. No solution:

There exists no solution if:

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2. Infinite solutions:

There exist infinitely many solutions if:

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3. One solution:

There exists one solution if:

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1st system of equations:

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So, no solution.

2nd system of equations:

The ratio:

$\dfrac{-5}{5} , \dfrac{-1}{1} , \dfrac{6}{-6}\\-1 =-1=-1$

So, infinitely many solutions.

3rd system of equations:

$\dfrac{3}{-3} , \dfrac{-4}{4} , \dfrac{0}{2}\\-1 =-1\ne0$

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4th system of equations:

$\dfrac{2}{3} , \dfrac{4}{-4} , \dfrac{6}{9}\\\dfrac{2}{3} \ne-1$

Hence, only one solution.

So, the answer is:

Following system of equations have only one solution:

$2 x + 4 y = 6\\ 3 x - 4 y = 9$

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Read 2 more answers

If the cost of an item with VAT is Rs 1,356 and without VAT is Rs 1,200, find the VAT?​

If the cost of an item with VAT is Rs 1,356 and without VAT is Rs 1,200, find the VAT?