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) 54.25%
(b) 50.25%
(c) 56.25%
(d) 25.56%
The correct answers to the above question in:
Answer: (c)
Let the marked price = Rs.100
S.P = Rs.80
Profit = 25%
CP = Rs.$(100/125 × 80)$ = Rs.64
Profit after selling on marked price
= 100 - 64 = Rs.36
Gain % = $36/64 × 100$ = 56.25%
Using Rule 6,
Here, D = 20% r = 25%
Let, M.P. be Rs.100
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$100/\text"CP" = {100 + 25}/{100 - 20}$
C.P. = ${100 × 80}/125$
C.P. = Rs.64
Profit = 100 - 64 = 36
Gain % = $36/64 × 100%$ = 56.25%
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Read more based problems makes profit Based Quantitative Aptitude Questions and Answers
Question : 1
The cost of manufacturing an article was Rs.900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :
a) Rs.1000
b) Rs.1200
c) Rs.1500
d) Rs.1250
Answer »Answer: (d)
CP = Rs.900
S.P. = 125% of 900
= $({900 × 125}/100)$ = Rs.1125
Let the marked price be x
90% of x = Rs.1125
$x = {1125 × 100}/90$ = Rs.1250
Question : 2
A shopkeeper buys an article for Rs.180. He wishes to gain 20% after allowing a discount of 10% on the marked price to the customer. The marked price will be
a) Rs.300
b) Rs.270
c) Rs.210
d) Rs.240
Answer »Answer: (d)
SP = $180 × 120/100$ = Rs.216
90% = 216
100% = $216/90 × 100$ = Rs.240
Question : 3
The true discount on Rs.1, 860 due after a certain time at 5% is Rs.60. Find the time after which it is due.
a) 1 year
b) 9 months
c) 10 months
d) 8 months
Answer »Answer: (d)
Present worth
= 1860 - 60 = Rs.1800
Time = ${100 × \text"True Discount"}/\text"Present worth × Rate"$
= ${100 × 60}/{1800 × 5} = 2/3$ year
= $(2/3 × 12)$ months = 8 months
Question : 4
An article of cost price Rs.8,000 is marked at Rs.11,200. After allowing a discount of x% a profit of 12% is made. The value of x is
a) 23%
b) 22%
c) 21%
d) 20%
Answer »Answer: (d)
S.P. for a profit of 12%
= ${8000 × 112}/100$ = Rs.8960
Discount = 11200 - 8960 = Rs.2240
If the discount per cent be x, then
${11200 × x}/100 = 2240$
$x = {2240 × 100}/11200 = 20%$
Using Rule 6,
Here, M.P. = Rs.11200, C.P. = Rs.8000
r =12% D = x%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$11200/8000 = {100 + 12}/{100 - x}$
= $11200/8000 = 112/{100 - x}$
100 - x = 80 ⇒ x = 20%
Question : 5
How much percent more than the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, he gains 20% ?
a) 55%
b) 60%
c) 70%
d) 50%
Answer »Answer: (b)
Let C.P.of article = Rs.100
If the marked price of article be x, then
$x × 75/100$ = 120
$x = {120 × 100}/75$ = 160
i.e. 60% above the cost price
Using Rule 9,
r = 25%, R = 20%
Required percentage
= $({r + R}/{100 - r} × 100)$%
= $({25 + 20}/{100 - 25} × 100)$%
= $45/75 × 100$ = 60%
Question : 6
The marked price of an electric iron is Rs.690. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent would be
a) 28%
b) 25%
c) 20%
d) 24%
Answer »Answer: (c)
Marked price = Rs.690
Discount = 10%
SP = ${690 × 90}/100$ = Rs.621
Profit = 8%
CP = $621/108 × 100$ = Rs.575
Profit without discount
= 690 - 575 = Rs.115
Profit per cent
= $115/575 × 100$ = 20%
Using Rule 9,The marked price of an article is fixed in such a way that after allowing a discount of r% a profit of R% is obtained. Then the marked price of the article is $({r + R}/{100 - r} × 100)$% more than its cost price.
Here, r = 10% R = 20%
Required percentage
= ${r + R}/{100 - r} × 100$%
= ${10 + 20}/{100 - 10} × 100$%
= $30/90 × 100% = 33{1}/3%$
Gain % = $\text"S.P. - C.P."/\text"C.P." × 100$
(without discount)
= ${480 - 400}/400 × 100$
= $80/400 × 100$ = 20%
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, M.P. = Rs.690, D = 10%, r = 8%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$600/\text"CP" = {100 + 8}/{100 - 10}$
C.P. = ${690 × 90}/108$
C.P. = Rs.575
Gain % (without discount)
= ${690 - 575}/575 = 100%$
= $115/575 × 100%$ = 20%
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
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