Rajesh has to pay 6% sales tax in addition to the price of a certain a...
Let the price of article excluding the tax be 'x'
Then 6/100 * x+x = 53
=> 3x/50+x= 53
=> 53x/50 = 53
=> x = 53*50/53
=> x = 50
Rajesh has to pay 6% sales tax in addition to the price of a certain a...
Given:
- Rajesh pays 6% sales tax in addition to the price of the article.
- Rajesh pays Rs. 53 to buy the article.
To find:
- The price of the article before the sales tax is added.
Solution:
Let's assume the price of the article before the sales tax is added as 'x'.
Step 1: Calculating the sales tax amount
- The sales tax is 6% of the price of the article.
- So, the sales tax amount would be 6/100 * x = 0.06x.
Step 2: Calculating the total amount paid by Rajesh
- The total amount paid by Rajesh is the sum of the price of the article and the sales tax amount.
- So, the total amount paid by Rajesh = x + 0.06x = 1.06x.
Step 3: Forming the equation
- According to the given information, Rajesh pays Rs. 53 to buy the article.
- So, 1.06x = 53.
Step 4: Solving the equation
- Dividing both sides of the equation by 1.06, we get:
x = 53 / 1.06
= 50.
Conclusion:
- The price of the article before the sales tax is added is Rs. 50.
- Therefore, option B (Rs. 50) is the correct answer.