## Discount

#### Discount

1. A company offers 3 types of successive discounts : (i) 25% and 15%, (ii) 30% and 10%, (iii) 35% and 5%. Which offer is the best for a customer?
1. First offer
2. Second offer
3. Third offer
4. Any one; all are equally good

1. Use the below formula to calculate the Equivalent discount.

 Successive discounts of D1 % and D2 % is overall equals to = D1 + D2 − D1 × D2 % 100

Where D1 = Discount 1 and D2 = Discount 2

##### Correct Option: C

Use the below formula to calculate the Equivalent discount.

 Successive discounts of D1 % and D2 % is overall equals to = D1 + D2 − D1 × D2 % 100

Where D1 = Discount 1 and D2 = Discount 2
(i) : Equivalent discount
 = 25 + 15 − 25 × 15 % 100

= (40 – 3.75) % = 36.25%
(ii) : Equivalent discount
 = 30 + 10 − 30 × 10 % 100

= (40 – 3) % = 37%
(iii) : Equivalent discount
 = 35 + 5 − 30 × 10 % 100

= (40 – 1.75) % = 38.25%
Clearly, third offer is best for a customer.

1. The difference between a single discount of 30% on 550 and two successive discounts of 20% and 10% on the same amount is
1. Nil
2. ₹ 11
3. ₹ 22
4. ₹ 44

1. As we know from the given question.
Case I : A single discount of 30%
Case II : Two successive discounts of 20% and 10% Single equivalent discount

 Equivalent Discount D = 20 + 10 − 20 × 10 % = 28% 100

Difference = (30 – 28)% = 2%

##### Correct Option: B

As we know from the given question.
Case I : A single discount of 30%
Case II : Two successive discounts of 20% and 10% Single equivalent discount

 Equivalent Discount D = 20 + 10 − 20 × 10 % = 28% 100

Difference = (30 – 28)% = 2%
∴  Required difference = 2% of 550
 Required difference = ₹ 2 × 550 = ₹ 11 10000

1. The equivalent single discount for two successive discounts of 15 % and 10 % is
1. 25%
2. 20%
3. 23.5%
4. 20.5%

1. As we know from the formula;

 Successive discounts of D1 % and D2 % = D1 + D2 − D1 × D2 % 100

##### Correct Option: C

As we know from the formula;

 Successive discounts of D1 % and D2 % = D1 + D2 − D1 × D2 % 100

 Equivalent discount = 15 + 10 − 15 × 10 % = 23.5 % 100

1. Successive discounts of 10 % and 20 % are equivalent to a single discount of :
1. 30%
2. 15%
3. 28%
4. 12%

1. As we know from the formula;

 Successive discounts of D1 % and D2 % = D1 + D2 − D1 × D2 % 100

##### Correct Option: C

As we know from the formula;

 Successive discounts of D1 % and D2 % = D1 + D2 − D1 × D2 % 100

 ∴  Required discount = 20 + 10 − 20 × 10 % 100

⇒  Required discount = 30 – 2 = 28%

1. Successive discounts of 10 % and 30 % are equivalent to a single discount of :
1. 40%
2. 35 %
3. 38 %
4. 37 %

1. As we know the formula for two successive discount.

 Successive discounts of D1 % and D2 % is overall equals to = D1 + D2 − D1 × D2 % 100

Where D1 = Discount 1 and D2 = Discount 2

##### Correct Option: D

As we know the formula for two successive discount.

 Successive discounts of D1 % and D2 % is overall equals to = D1 + D2 − D1 × D2 % 100

Where D1 = Discount 1 and D2 = Discount 2
According to given question, D1 = 30 % and D2 = 10 %
 Successive discounts of D1% and D2% is overall = 30 + 10 − 30 × 10 = 40 - 3 = 37% 100