model 4 mixed discount problems of marked price 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) 12% loss
(b) 12% gain
(c) 10% loss
(d) 10% gain
The correct answers to the above question in:
Answer: (c)
Discount = $120 × 40/100$ = Rs.48
S.P. = Rs.(120 - 48) = Rs.72
Loss = 80 - 72 = Rs.8
Loss % = $8/80 × 100 = 10$%
Using Rule 6,If r% of profit or loss occur after giving D% discount on marked price, then$\text"MP"/\text"CP" = {100 ± r}/{100 - D}$(positive sign for profit and negative for loss)
Here, C.P. = Rs.80, M.P. = Rs.120, D = 40%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$120/80 = {100 + r}/{100 - 40}$
$3/2 = {100 + r}/60$
90 = 100 + r
r =–10% (–ve sign shows loss)
Loss = 10%
Discuss Form
Read more mixed problems on marked price Based Quantitative Aptitude Questions and Answers
Question : 1
While selling a shirt, a shopkeeper gives a discount of 7%. If he had given a discount of 9% he would have got Rs.15 less as profit. The marked price of the shirt is
a) Rs.720
b) Rs.750
c) Rs.600
d) Rs.712.50
Answer »Answer: (b)
Let the marked price of the shirt be x.
Difference of discounts = 2%
2% of x = 15
${x × 2}/100$ = 15
$x = {15 × 100}/2$ = Rs.750
Question : 2
A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by
a) 39%
b) 40%
c) 20%
d) 50%
Answer »Answer: (d)
Let the C.P. of each article be Rs.1
For 15 books, the tradesman gives 1 book free.
C.P. of 15 books = Rs.16
S.P. of 15 books
= $16 × 135/100$ = Rs.$108/5$
S.P. of 1 book
= $108/{5 × 15}$ = Rs.$36/25$
Now, 96% of marked price = $36/25$
Marked price
= ${36 × 100}/{25 × 96} = 3/2 = Rs.1.5$
The required % increase
= ${0.5}/1 × 100$ = 50%
Question : 3
A fan is listed at Rs.1,500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer now to bring the net price to Rs.1,104 ?
a) 10%
b) 8%
c) 12%
d) 15%
Answer »Answer: (b)
First discount = 20%
Price after first discount
= Rs.$(1500 - 20/100 × 1500)$
= Rs.(1500 - 300) = Rs.1200
Let the additional discount be x%
$(1200 - {x × 1200}/100)$ = 1104
1200 - 12x = 1104
12x = 1200 - 1104 = 96
$x = 96/12 = 8%$
Question : 4
A discount of 14% on the marked price of an article is allowed and then the article is sold for Rs.387. The marked price of the article is
a) Rs.427
b) Rs.450
c) Rs.440
d) Rs.500
Answer »Answer: (b)
Let the marked price be x
86% of x = 387
$x = {387 × 100}/86$ = Rs.450
Using Rule 2,If article is sold on D% discount, thenSP = ${\text"MP"(100 - D)}/100$MP = ${\text"SP" × 100}/{100 - D}$
Here, D = 14%, S.P. = Rs.387, M.P. = ?
M.P. = ${\text"SP" × 100}/{100 - D}$
= ${387 × 100}/{100 - 14}$
= $38700/86$ = Rs.450
Question : 5
A shopkeeper allows 4% discount on his marked price. If the cost price of an article is Rs.100 and he has to make a profit of 20%, then his marked price must be
a) Rs.120
b) Rs.96
c) Rs.130
d) Rs.125
Answer »Answer: (d)
Let the marked price of the article be x
According to the question,
96% of x = 120% of 100
$x × 96/100 = {100 × 120}/100$
$x = {100 × 120}/100$ = Rs.125
Using Rule 6,
Here, r = 20%, D = 4%,
C.P. = Rs.100, M.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$\text"MP"/100 = {100 + 20}/{100 - 4}$
M.P. = ${120 × 100}/96$
= $1000/8$ = Rs.125
Question : 6
A shop-keeper sells a badminton racket whose marked price is Rs.30, at a discount of 15% and gives a shuttle cock costing Rs.1.50 free with each racket. Even then he makes a profit of 20%. His cost price, per racket, is
a) Rs.21.25
b) Rs.21.00
c) Rs.19.75
d) Rs.20.00
Answer »Answer: (d)
Discount = 15%
SP of racket = 85% of Rs.30 = Rs.25.50
One shuttle cock of Rs.1.50 is free.
Actual SP
= Rs.(25.50 - 1.50) = Rs.24
He still gains 20%
CP = $100/120 × 24$ = Rs.20
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 »