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
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