Question

Rita bought a cycle for Rs 3300 including the tax of 10%. Find the price of the cycle before VAT was added.​

Answer 1

Answer:

Marked Price = Rs. 3000

Step-by-step explanation:

Let the Marked Price be x.

So,

x + 10/100 × x = 3300

x + x/10 = 3300

11x / 10 = 3300

x = 3300 × 10/11

x = 3000

Answer 2

Given:

Amount paid $=$₹$3300$

Percentage tax levied$=10%$%

To find: the price of the cycle before VAT was added.

Solution:

Assume that, the price of the cycle before VAT was added be $x$.

VAT applied $\[ = \frac{1}{{10}}x\]$

Find the price of the cycle before VAT was added.

Amount Paid$=\[ x+ \frac{1}{{10}}x\]$

$\[\begin{array}{l} \Rightarrow 3300 = x + \frac{1}{{10}}x\\ \Rightarrow 3300 = \frac{{10x + x}}{{10}}\end{array}\]$

$\[\begin{array}{l} \Rightarrow 33000 = 11x\\ \Rightarrow x = \frac{{33000}}{{11}}\\ \Rightarrow x = 3000\end{array}\]$

Hence, the price of the cycle before VAT was added is ₹$3000$.