model 1 profit x after discount y 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 : 16
A shopkeeper offers 10% discount on the marked price of his articles and still makes a profit of 20%. What is the actual cost of the article marked Rs.500 for him ?
a) Rs.375
b) Rs.400
c) Rs.440
d) Rs.425
Answer »Answer: (a)
Let the cost price of article be x
$500 × 90/100 = 120/100 × x$
450 = ${6x}/5$
$x = {450 × 5}/6$ = Rs.375
Using Rule 6,
C.P. = ? , M.P. = Rs.500, r = 20%, D = 10%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$500/\text"CP" = {100 + 20}/{100 - 10}$
C.P.= ${500 × 90}/120$ = Rs.375
Question : 17 [SSC FCI Asst 2012]
The price that Akbar should mark on a pair of shoes which costs him Rs.1,200 to gain 12% after allowing a discount of 16% (in rupees) is
a) 1,500
b) 1,600
c) 1,344
d) 1,433
Answer »Answer: (b)
Let the marked price be x.
$x × 84/100 = {1200 × 112}/100$
$x × 84/100 = 112 × 12$
$x = {112 × 1200}/84$ = Rs.1600
Using Rule 6,
C.P. = Rs.1200, r = 12%, D = 16%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$\text"MP"/1200 = {100 + 12}/{100 - 16}$
M.P.= ${112 × 1200}/84$ = Rs.1600
Question : 18 [SSC CPO S.I.2004]
In order to maintain the price line a trader allows a discount of 10% on the marked price of an article. However, he still makes a profit of 17% on the cost price. Had he sold the article at the marked price, he would have earned a profit per cent of
a) 35%
b) 33%
c) 30%
d) 32%
Answer »Answer: (c)
Let the marked price be Rs.100.
S.P. = 90% of 100 = Rs.90
Profit = 17%
C.P. = Rs.$90 × 100/117$ = Rs.$1000/13$
If no discount is allowed,
S.P. = Rs.100
Profit = Rs.$(100 - 1000/13)$ = Rs.$300/13$
Profit % = ${300/13}/{1000/13}$ × 100 = 30%
Using Rule 6,
Here, D = 10%, r = 17%,
Let the M.P. = Rs.100
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$100/\text"CP" = {100 + 17}/{100 - 10}$
$100/\text"C.P." = 117/90$
C.P. = ${100 × 90}/117 = 1000/13$
Profit = S.P. - C.P.
= $100 - 1000/13$ = Rs.$300/13$
Profit % = ${300/13}/{1000/13} × 100%$ = 30%
Question : 19
A manufacturer marked an article at Rs.50 and sold it allowing 20% discount. If his profit was 25%, then the cost price of the article was
a) Rs.30
b) Rs.32
c) Rs.40
d) Rs.35
Answer »Answer: (b)
Marked price = Rs.50
S.P. after discount = 80% of 50 = Rs.40
If the CP of article be x, then
${125 × x}/100 = 40$
$x = {40 × 100}/125$ = Rs.32
Using Rule 6,
Here, M.P. = Rs.50, C.P. = ?,
r = 25%, D = 20%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$50/\text"CP" = {100 + 25}/{100 - 20}$
C.P.= ${50 × 80}/125$ = Rs.32
Question : 20 [SSC CGL Tier-I 2014]
A shopkeeper marks his goods 40% above the cost price. He allows a discount of 5% for cash payment to his customers. He receives Rs.1064 after paying the discount. His profit is
a) Rs.800
b) Rs.200
c) Rs.264
d) Rs.164
Answer »Answer: (a)
Cost price of article = Rs.x
$x × 140/100 × 95/100 = 1064$
$x = {1064 × 100 × 100}/{140 × 95}$ = Rs.800
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