Question

Ram bought a table for rupees 4500 including GST at 5% find the price of the table before the GST was added​

Answer 1

Answer:

Rs. 4285.71

Step-by-step explanation:

Always begin the solution to such question by assuming the required value as a variable such as 'a', 'x', etc.

So, let the price of the table before GST was added be Rs. "x".

Now according to the question, we can form the following equation easily—

x + 5℅ of x = Rs. 4500

x + (5/100)*x = 4500

x + (x/20) = 4500

(20x + x) /20 = 4500

21x = 4500 * 20

x = 90000/21

x = 30000/7

x = 4285.714(approx.)

Hence, price of table before GST was added = Rs. 4285.71

Answer 2

Answer:

4285.71

Step-by-step explanation:

Unitary Method :

Le the price of Table be Rs 100

GST = 5%

GST On Table = 5% of Rs 100

$\implies\: \dfrac{5}{100}\: \times\: 100$ = Rs 5

Total Money paid for Table = Rs 100 + 5 = Rs 105

If price paid for a Table is Rs 105,then Cost Price of Table = Rs 100

If price paid for a Table is Rs 1,then Cost Price of Table =Rs $\dfrac{100}{105}$

If price paid for a Table is Rs 4500,then Cost Price of Table = Rs $\dfrac{100}{105}\: \times 45$

$\therefore$ Cost Price of A.C = Rs 4285.71

Alternative Method :

Let Price of Table Before GST was added be Rs x

Now,

Cost Price + GST = Rs 4500

$\implies$ x + 5% of x = Rs 4500

$\implies\: x + \dfrac{5}{100}\: x$

$\implies\: \dfrac{105x}{100}$= Rs 4500

$\implies \: x = \dfrac{4500 \times 100}{105}$

$\implies \: x = \boxed{Rs \: 4285.71}$