The marked price of a watch is rs 2700. if the percantge of doscount given on marked price twice of the percentage of VAT and the value of the watch after adding VAT is rs 2379.Find rate of vate
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% .
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