Discount

Discount

1. 10% discount and then 20% discount in succession is equivalent to total discount of
1. 28%
2. 15%
3. 30%
4. 24%

1.  Single equivalent discount = P + Q − P x Q % 100

Correct Option: A

 Single equivalent discount = P + Q − P x Q % 100

 Single equivalent discount = 10 + 20 − 10 × 20 % 100

Single equivalent discount = (30 – 2)% = 28%

1. Two successive discounts of 10% and 20%, equals a single discount of
1. 30%
2. 25%
3. 28%
4. 29%

1.  Single equivalent discount = x + y − xy % 100

Correct Option: C

 Single equivalent discount = x + y − xy % 100

 Single equivalent discount = 10 + 20 − 10 × 20 % = 28% 100

1. Successive discounts of 30% and 20% is equivalent to a single discount of
1. 50%
2. 40%
3. 44%
4. 10%

1. Use the below formula to calculate the Single equivalent discount.

 Single equivalent discount = D1 + D2 − D1× D2 % 100

Correct Option: C

Use the below formula to calculate the Single equivalent discount.

 Single equivalent discount = D1 + D2 − D1× D2 % 100

 Single equivalent discount = 30 + 20 − 30 × 20 % 100

⇒  Single equivalent discount = 50 – 6 = 44%

1. A shopkeeper marks the price of an article at ₹ 80. What will be the selling price, if he allows two successive discounts of 5% each?
1. ₹ 72.2
2. ₹ 72
3. ₹ 85
4. ₹ 7.2

1.  Single equivalent discount = 5 + 5 − 25 % 100

Alternate method to solve this question :
Here, M.P. = 80, D1 = 5%, D2 = 5%, S.P. = ?
 S.P. = M.P. 100 − D1 100 − D2 100 100

 S.P. = 80 100 − 5 100 − 5 100 100

Correct Option: A

 Single equivalent discount = 5 + 5 − 25 % 100

 Single equivalent discount = 9 3 = 39 % 4 4

 ∴  S.P. = 80 × 361 = ₹ 72.2 400

Alternate method to solve this question :
Here, M.P. = 80, D1 = 5%, D2 = 5%, S.P. = ?
 S.P. = M.P. 100 − D1 100 − D2 100 100

 S.P. = 80 100 − 5 100 − 5 100 100

 S.P = 80 × 95 × 95 = ₹ 72.2 100 100

1. Two successive discounts of 70% and 30% are equivalent to a single discount of
1. 75%
2. 79%
3. 100%
4. 89%

1.  Single equivalent discount = 70 + 30 − 70 × 30 % 100

Correct Option: B

 Single equivalent discount = 70 + 30 − 70 × 30 % 100

Single equivalent discount = (100 – 21)% = 79%
2nd Method
After a discount of 70%, remaining price is just 30. On this 30%, another discount of 30% is given which will be equal to 9 so, total discount = 70% + 9% =79%.