Model 3 Successive Discount Practice Questions Answers Test With Solutions & More Shortcuts
DISCOUNT PRACTICE TEST [4  EXERCISES]
Model 1 Profit X After Discount Y
Model 2 Hiking & Discounting
Model 3 Successive Discount
Model 4 Mixed Discount Problems Of Marked Price
Question : 1
Successive discounts of 10% and 30% are equivalent to a single discount of :
a) 37%
b) 38%
c) 40%
d) 35%
Answer »Answer: (a)
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%
Answer »Answer: (b)
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
Answer »Answer: (b)
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
Answer »Answer: (d)
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%
Answer »Answer: (b)
Using Rule 5,
Equivalent single discount
= $(20 + 20  {20 × 20}/100)$% = 36%
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