Question

10. Sheila goes to a boutique to buy a dress. She likes a dress marked at ₹6500. 12.5% VAT is applicable. She requests the boutique owner to give her a discount so that she pays only ₹6500. Find the discount amount and the discount percentage.​

Answer 1

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Cost of dress = ₹ 6500.00

Vat @ 12.5 % = ₹ 812.50

Gross amount = Rs 6500.00 + 812.50 = ₹ 7312.50

But she Actual paid = ₹ 6500

Discount = ₹ 7312.50 - 6500.00 = ₹812.50

Discount in % = ₹ 812.50 / 7312.50 * 100

= 11.11 %

Answer 2

ANSWER:

Given:

• Cost Price of a dress = ₹6500
• VAT = 12.5%
• Selling Price of the dress = ₹6500

To Find:

• Discount amount and discount percentage.

Solution:

We are given that,

⇒ Cost Price = ₹6500

And,

⇒ VAT = 12.5%

So

⇒ Total Cost Price after VAT = ₹6500 + ₹(12.5% of 6500)

⇒ Total Cost Price after VAT = ₹6500 + ₹(12.5/100 × 6500)

⇒ Total Cost Price after VAT = ₹6500 + ₹(12.5 × 65)

⇒ Total Cost Price after VAT = ₹6500 + ₹812.50

⇒ Total Cost Price after VAT = ₹7312.50

So,

The total cost price of the dress after including VAT is ₹7312.50.

Now,

We are given that,

⇒ Selling Price = ₹6500

We know that,

⇒ Discount = Cost Price - Selling Price

Hence,

⇒ Discount = ₹7312.50 - ₹6500

⇒ Discount = ₹812.50

Therefore, the discount amount is ₹812.50.

Now,

We know that,

⇒ Discount % = Discount/Cost Price × 100

Hence,

⇒ Discount % = (812.50/7312.50) × 100

⇒ Discount % = 0.1111 × 100

⇒ Discount % = 11.11%

Therefore, the discount% is 11.11%.

FINAL RESULTS:

• Discount = ₹812.50
• Discount % = 11.11%

Formulae Used:

• Discount = Cost Price - Selling Price
• Discount % = Discount/Cost Price × 100