Some goods are sold at a discount of 20%. If the same goods are sold without discount, their price will change by :

1. 25% increase

2. 25% decrease

3. 20% increase

4. 20% decrease

The marked price of an article is ₹ 400. If tax on it increases from 10% to 15%, the amount of it will increase by:

1. ₹ 30

2. ₹ 40

3. ₹ 60

4. none of these

Statement 1: In case of profit (i.e. if S.P. > C.P.), C.P. = S.P. x $\Big(\dfrac{100 \times \text{Profit}\%}{100}\Big)$.

Statement 2: In case of loss (i.e. if C.P. > S.P.), S.P. = $\Big(\dfrac{100 \times \text{C.P.}}{100 - \text{Loss}\%}\Big)$.

Which of the following options is correct?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

Assertion (A) : Two successive discounts of 10% and 5% are equal to a single discount of $14\dfrac{1}{2}\%$.

Reason (R) : Rate of discount = $\dfrac{\text{Discount}}{\text{S.P.}} \times 100\%$.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.