model 1 profit x after discount y 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.800
(b) Rs.200
(c) Rs.264
(d) Rs.164
The correct answers to the above question in:
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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Read more based problems makes profit Based Quantitative Aptitude Questions and Answers
Question : 1
A grinder was marked at Rs.3,600. After given a discount of 10% the dealer made a profit of 8%. Calculate the cost price.
a) Rs.2,960
b) Rs.3,240
c) Rs.3,000
d) Rs.3,312
Answer »Answer: (c)
If the C.P. of grinder be x, then
${x × 108}/100 = {3600 × 90}/100$ = 3240
$x = {3240 × 100}/108$ = Rs.3000
Using Rule 6,
M.P. = Rs.3600, D = 10%,
r = 8%, C.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$3600/\text"CP" = {100 + 8}/{100 - 10}$
C.P. = ${3600 × 90}/108$
= ${3600 × 10}/12$ = Rs.3000
Question : 2
A dealer offers a discount of 10% on the marked price of an article and still makes a profit of 20%. If its marked price is Rs.800, then the cost price of the article is :
a) Rs.600
b) Rs.700
c) Rs.900
d) Rs.800
Answer »Answer: (a)
S.P. of that article
= 800 × $90/100$ = Rs.720
He still makes 20% profit
C.P. of the article
= 720 $×100/120$ = Rs.600
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, r = 20%, D = 10%, M.P. = Rs.800, C.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$800/\text"CP" = {100 + 20}/{100 - 10}$
C.P. = ${800 × 90}/120$
C.P. = Rs.600
Question : 3
A trader allows a trade discount of 20% and a cash discount of 6$1/4$% on the marked price of the goods and gets a net gain of 20% of the cost. By how much above the cost should the goods be marked for the sale ?
a) 70%
b) 60%
c) 40%
d) 50%
Answer »Answer: (b)
Let C.P. of article = Rs.100
Marked price = x
Single equivalent discount
= $(20 + {25/4} - {20 × 25}/400)$% = 25%
$x × 75/100$ = 120
$x = {120 × 100}/75$ = Rs.160
160 - 100 = 60%
Question : 4
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 : 5
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 : 6
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
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
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