# Model 3 Successive Discount Practice Questions Answers Test With Solutions & More Shortcuts

#### DISCOUNT PRACTICE TEST [4 - EXERCISES]

Question : 1

Successive discounts of 10% and 30% are equivalent to a single discount of :

a) 37%

b) 38%

c) 40%

d) 35%

Using Rule 5,

Equivalent discount

= 30 + 10 - \${30 × 10}/100\$ = 37%

Question : 2

The equivalent single discount for two successive discounts of 15% and 10% is

a) 20.5%

b) 23.5%

c) 25%

d) 20%

Trick :

Equivalent discount

= \$(15 + 10 - {15 × 10}/100)%\$ = 23.5%

Question : 3

A company offers three types of successive discounts : (i) 25% and 15%, (ii) 30% and 10%, (iii) 35% and 5%. Which offer is the best for a customer?

a) Any one; all are equally good

b) Third offer

c) First offer

d) Second offer

Using Rule 5,

(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 - {35 × 5}/100)\$%

= (40 - 1.75) % = 38.25%

Clearly, third offer is best for a customer

Question : 4 [SSC SO 2003]

Applied to a bill for Rs.1,00,000 the difference between a discount of 40% and two successive discounts of 36% and 4% is :

a) Rs.4,000

b) Rs.2,500

c) Nil

d) Rs.1,440

Using Rule 5,
(Special Case) : When two successive disounts are given, then overall discount is =\$(D_1 + D_2 - {D_1D_2}/100)%\$

Successive discounts of 36% and 4% is overall equals to

= \$(36 + 4 - {36 × 4}/100)%\$ = 38.56%

Percentage difference

= 40 - 38.56 = 1.44%

Difference between discount

= 1.44% of 100000

= \${1.44 × 100000}/100\$ = Rs.1440

Question : 5 [SSC Investigator 2010]

Two successive discounts of 20% and 20% is equivalent to a single discount of

a) 34%

b) 36%

c) 42%

d) 40%

Using Rule 5,

Equivalent single discount

= \$(20 + 20 - {20 × 20}/100)\$% = 36%

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