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Mathematics

The marked price of an article is ₹ 1,000, which is available at a discount of 20% with GST rate 12%.

Assertion (A): The GST on the sale = 12% of discounted value.

Reason (R): The GST on the transaction = (100 - 20 + 12)% of marked price.

  1. A is true, R is false.

  2. A is false, R is true.

  3. Both A and R are true and R is the correct reason for A.

  4. Both A and R are true and R is the incorrect reason for A.

GST

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Answer

Option 1 is the correct option.

Reason

Given, MP = ₹ 1,000

Discount = 20%

GST = 12%

Discount = 20% of ₹ 1,000

= 20100\dfrac{20}{100} x 1,000 = ₹ 200

Price after discount = ₹ 1,000 - 200 = ₹ 800

GST on the discounted price = 12% of price after discount

= 12100\dfrac{12}{100} x 800 = ₹ 96

∴ Assertion (A) is true.

The GST on the transaction = (100 - 20 + 12)% of marked price

= 92% of marked price

= 92100\dfrac{92}{100} x 1,000 = ₹ 920

As, ₹ 96 ≠ ₹ 920

∴ Reason (R) is false.

Hence, A is true, R is false.

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