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Step-by-step explanation:
Given :
Labenda buys a radio at a discount of 15% but, pays 10% VAT.
She pays Rs. 170 for VAT, then,.
Find :
(i) The marked price of the radio,
(ii) Amount she paid for the radio while buying,.
Solution :
Labenda buys a radio at a discount of 15% but, pays 10% VAT.
⇒ Discount = 15%
⇒ She paid = 100% - 15% = 85% of the total price,.
Let the total cost of radio be Rs. x,
Then,
⇒ She paid (without VAT) = 85x/100
⇒ She pays 10% VAT = 10% VAT on Discounted price,.
⇒ 10% of 85x/100 ⇒ 8.5x/100
⇒ She paid Rs. 170 as VAT
⇒⇒
⇒⇒
∴ The Oridinal cost of the radio is Rs. 2,000.
The amount she paid = total cost - Discount + VAT
⇒ 2,000 - 15% of 2,000 + 170
⇒ 2,000 - 300 + 170 = Rs.1870
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