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) 1,500
(b) 1,600
(c) 1,344
(d) 1,433
The correct answers to the above question in:
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
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Read more based problems makes profit Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
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
Question : 4
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 : 5
A profit of l0% is made after giving a discount of 5% on a T. V. If the marked price of the TV is Rs.2640.00, the cost price of the TV was :
a) Rs.2396
b) Rs.2380
c) Rs.2280
d) Rs.2296
Answer »Answer: (c)
Let the C.P. of TV be x, then
${x × 110}/100 = 2640 × 95/100$
$x = {2640 × 95}/110$ = Rs.2280
Using Rule 6,
Here, r = 10%, D = 5%,
M.P. = Rs.264000,C.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$2640/\text"CP" = {100 + 10}/{100 - 5}$
C.P. = ${2640 × 95}/110$
= 24 × 95 = 2280
Question : 6
The marked price of an article is Rs.200. A discount of 12$1/2$%is allowed on the marked price and a profit of 25% is made. The cost price of the article is :
a) Rs.140
b) Rs.120
c) Rs.200
d) Rs.175
Answer »Answer: (a)
Discount = $12{1}/2% = 25/2$%
After discount S.P.
= Rs.200 × 87.5 = Rs.175
Gain % = 25%
Required C.P.
= Rs.$100/125$ × 175 = Rs.140
Using Rule 6,
Here, r = 25%, D = 12.5%,M.P. = Rs.200, C.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$200/\text"CP" = {100 + 25}/{100 - 12.5}$
C.P. = ${200 × 87.5}/125$ ⇒ C.P.= Rs.140
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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