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 = $\dfrac{\text{Discount}}{\text{M.P.}} \times 100\%$.

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.

Assertion (A) : If selling price of an article is ₹ 400 gaining $\dfrac{1}{4}$ of its C.P., then gain% = 25%.

Reason (R) : Loss = $\dfrac{\text{C.P.} \times \text{Loss}\%}{100}$.

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.

Assertion (A) : 12 articles are bought for one rupee and 8 of them are sold for one rupee. Then gain% = 50%.

Reason (R) : Profit % = $\Big(\dfrac{\text{Profit}}{\text{C.P.}} \times 100\Big)\% \text{ and Loss}\% = \Big(\dfrac{\text{Loss}}{\text{C.P.}} \times 100\Big)\%$.

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.

A man sold his bicycle for ₹ 405 losing one-tenth of its cost price. Find:

(i) its cost price;

(ii) the loss percent.