model 4 mixed discount problems of marked price 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 : 21 [SSC CPO S.I.2003]
A man buys an article for Rs.80 and marks it at Rs.120. He then allows a discount of 40%. What is the loss or gain per cent ?
a) 12% loss
b) 12% gain
c) 10% loss
d) 10% gain
Answer »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%
Question : 22 [SSC SAS 2010]
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 : 23
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 : 24 [SSC CGL Prelim 2002]
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 : 25 [SSC CGL Prelim 1999]
The printed price of an article is Rs.900 but the retailer gets a discount of 40%. He sells the article for Rs.900. Retailer's gain per cent is :
a) 60%
b) 40%
c) 68$1/3$%
d) 66$2/3$%
Answer »Answer: (d)
Printed price = Rs.900
On 40% discount
= $900 - {900 × 40}/100$ = 900 - 360
C.P. for retailer = 540
S.P. = 900
Profit = 900 - 540 = 360
Gain % = ${360 × 100}/540$
= $200/3 = 66{2}/3$%
IMPORTANT quantitative aptitude EXERCISES
model 4 mixed discount problems of marked price Shortcuts »
Click to Read...model 4 mixed discount problems of marked price Online Quiz
Click to Start..discount Shortcuts and Techniques with Examples
quantitative aptitude CATEGORIES
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
New 150+ Percentage Questions For IBPS Clerk Prelims 2024
Free Top Percentage Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz PDF & Mock Test for IBPS Clerk Prelims 2024 Exam
Continue Reading »
Classification Reasoning MCQ For IBPS Clerk Prelims 2024
Most Important 100+ Classification based Verbal Reasoning Ability Multiple choice questions and answers PDF, Free New Mock tests For IBPS Clerk Prelims 2024
Continue Reading »
Ratio and Proportion Questions with Solutions, IBPS Clerk
New Ratio and Proportion Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz & Mock Test for IBPS Clerk Prelims 2024 Exam
Continue Reading »
Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024
Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024
Continue Reading »