The marked price of a watch is Rs. 2700. If the discount% is twice the VAT% and the value of watch after adding VAT is Rs. 2376. Find the VAT rate.
Answers
Given :- The marked price of a watch is Rs. 2700. If the discount% is twice the VAT% and the value of watch after adding VAT is Rs. 2376. Find the VAT rate. ?
Solution :-
we know that,
- SP with VAT = {MP * (100 - Discount %)(100 + V%)} / (100)²
from given data we have,
- MP = Rs.2700
- VAT % = Let x %.
- Discount % = 2x % .
- SP with VAT = Rs.2376 .
Putting values in above told formula now, we get,
→ 2376 = [2700 * (100 - 2x) * (100 + x)] / (100)²
→ 2376 = {27(10000 + 100x - 200x - 2x²)} / 100
→ 237600 = 270000 - 2700x - 54x²
→ 54x² + 2700x - 32400 = 0
→ 54(x² + 50x - 600) = 0
→ x² + 50x - 600 = 0
→ x² + 60x - 10x - 600 = 0
→ x(x + 60) - 10(x + 60) = 0
→ (x + 60)(x - 10) = 0
→ x = 10 or (-60) .
since negative value is not Possible.
therefore, VAT rate is 10% .
Learn more :-
Raju buys 3 goats for rs 11600. when he sells goats for 20 percent profit and sheep at 10 percent loss. he earns total p...
https://brainly.in/question/26745258
An item was sold at a profit of 12% after giving a discount of 12.5% on the list price. what would be the gain or loss p...
https://brainly.in/question/26616270
Answer:
Step-by-step explanation:
10%