model 2 hiking & discounting Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 4 EXERCISES
The following question based on discount topic of quantitative aptitude
(a) Rs.3,500
(b) Rs.3,800
(c) Rs.3,600
(d) Rs.3,400
The correct answers to the above question in:
Answer: (a)
Marked price of article = Rs.x (let)
S.P. of article
= Rs.$(x × 90/100 × 108/100)$
$x × 90/100 × 108/100$ = 3402
$x = {3402 × 100 × 100}/{90 × 108}$
$x$ = Rs.3500
Discuss Form
Read more based on hiking and discounting Based Quantitative Aptitude Questions and Answers
Question : 1
A merchant allows a discount of 10% on marked price for the cash payment. To make a profit of 17%, he must mark his goods higher than their cost price by
a) 40%
b) 30%
c) 27%
d) 33%
Answer »Answer: (b)
C.P. of article = Rs.100
Let marked price of article x.
$x × 90/100 = 117$
$x = {117 × 100}/90$
= Rs.130 or 30% above the cost price.
Using Rule 8,
Here, $r_1$ = 10%, gain % = 17%, r = ?
Gain % = ${r × (100 - r_1)}/100 - r_1$
17 = ${r × (100 - 10)}/100 - 10$
27 = ${r × 90}/100$ ⇒ r = 30%
Question : 2
A merchant marks his goods 40% above the cost price and sells them at a discount of 15%. Find his gain %.
a) 22%
b) 20%
c) 19%
d) 25%
Answer »Answer: (c)
Let the C.P. of each article be Rs.100.
Marked price = Rs.140
S.P. = ${140 × 85}/100$ = Rs.119
Gain per cent = 19%
Using Rule 8,
Here, r = 40%, $r_1$ = 15%
Gain % = ${r × (100 - r_1)}/100 - r_1$
= ${40 × (100 - 15)}/100 - 15$
= ${40 × 85}/100 - 15$
= $3400/100$ - 15 = 19%
Question : 3
A shopkeeper marks his sarees at 20% above the cost price and allows the purchaser a discount of 10% for cash buying. What profit percent does he make?
a) 12%
b) 8%
c) 10%
d) 18%
Answer »Answer: (b)
Gain % = $20 - 10 - {20 × 10}/100$
= 20 - 12 = 8%
Using Rule 8,
Here, r = 20%, $r_1$ = 10%
Profit or loss
= ${r × (100 - r_1)}/100 - r_1$
= ${20 × (100 - 10)}/100 - 10$
= 18 - 10 = 8% profit.
Question : 4
If the discount is equal to one fifth of the marked price and the loss is half the discount, then the percentage of loss is
a) 11$1/9$%
b) 13$1/9$%
c) 12$1/9$%
d) 10$1/9$%
Answer »Answer: (a)
Marked price = Rs.x
Discount = Rs.$x/5$
S.P. = $x - x/5 = Rs.{4x}/5$
Loss = Rs.$x/10$
C.P. = ${4x}/5 + x/10$
= ${8x + x}/10 = Rs.{9x}/10$
Loss per cent = ${x/10}/{{9x}/10} × 100$
= $100/9 = 11{1}/9$%
Question : 5
The marked price is 20% higher than cost price. A discount of 20% is given on the marked price. By this type of sale, there is
a) 2% loss
b) 4% gain
c) no loss no gain
d) 4% loss
Answer »Answer: (d)
Let Cost price = Rs.100
Marked price = Rs.120
Selling price = ${120 × 80}/100$ = Rs.96
Loss = Rs.4 and loss per cent = 4%
Using Rule 8,
Here, r = 20%, $r_1$ = 20%
Loss % = ${r × (100 - r_1)}/100 - r_1$
= ${20 × (100 - 20)}/100 - 20$
= ${20 × 80}/100 - 20$
= –4% (–ve sign shows loss)
= 4% loss
Question : 6
A dealer marks his goods 20% above their cost price. He then allows some discount on marked price so that he makes a profit of 10%. The rate of discount is
a) 9$1/3$%
b) 8$1/3$%
c) 8$2/3$%
d) 10$1/3$%
Answer »Answer: (b)
Let cost price of article = Rs.100
Marked price of article
= ${100 × 120}/100$ = Rs.120
S.P. of article = Rs.110
Discount = 120 - 110 = Rs.10
If discount = x%, then
${120 × x}/100$ = 10
$x = {10 × 100}/120 = 25/3 = 8{1}/3$%
Using Rule 8,
Here, r = 20%, Profit = 10%
Let, discount $r_1$ = x%
Profit % = ${r × (100 - r_1)}/100 - r_1$
10 = ${20 × (100 - x)}/100 - r_1$
1000 = 2000 - 20x - 100x
–1000 = –120x
$x = 100/12 = 25/3 = 8{1}/3$%
GET discount PRACTICE TEST EXERCISES
model 1 profit x after discount y
model 2 hiking & discounting
model 3 successive discount
model 4 mixed discount problems of marked price
discount Shortcuts and Techniques with Examples
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024
Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam
Continue Reading »
Syllogism Practice Questions Answers PDF - IBPS Clerk 2024
Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam
Continue Reading »
IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers
Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download
Continue Reading »
New Cloze Test Questions and Answers PDF - IBPS Clerk 2024
The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF
Continue Reading »