model 2 hiking & discounting 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.380
(b) Rs.376
(c) Rs.300
(d) Rs.384
The correct answers to the above question in:
Answer: (a)
Cost price of the article = Rs.x
$x × 125/100 = {500 × 95}/100$
$x = {500 × 95}/125$ = Rs.380
Using Rule 6,
Here, R = 25%, D = 5%, M.P. = Rs.500, C.P. = ?
$\text"M.P."/\text"C.P."= {100 + r}/{100 - D}$
$500/\text"C.P."= {100 + 25}/{100 - 5}$
C.P. = ${500 × 95}/125$ = Rs.38
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Read more based on hiking and discounting Based Quantitative Aptitude Questions and Answers
Question : 1
A shopkeeper marks his goods at 30% above the cost price but allows a discount of 10% at the time of sale. His gain is
a) 20%
b) 17%
c) 18%
d) 21%
Answer »Answer: (b)
Let the CP of the article be 100.
According to the question,
The marked price = Rs.130
Discount = 10%
SP = 90% of 130
= ${130 × 90}/100$ = Rs.117
Gain = 117 - 100 = Rs.17
Gain per cent = 17%
since the CP = Rs.100
Using Rule 8,
Here, r = 30%, $r_1$ = 10%
gain % = ${r × (100 - r_1)}/100 - r_1$
= ${30 × (100 - 10)}/100 - 10$
= ${30 × 90}/100 - 10$ = 17%
Question : 2
A merchant purchases a wrist watch for Rs.450 and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. Find the list price of the watch.
a) Rs.450
b) Rs.540
c) Rs.600
d) Rs.480
Answer »Answer: (c)
Let marked price of the wrist watch be x
${90x}/100 = {450 × 120}/100$
90x = 450 × 120
$x = {450 × 120}/90$ = Rs.600
Using Rule 8,
Here, $r_1$ = 10%, profit = 20%, r = ?
Gain % = ${r × (100 - r_1)}/100 - r_1$
20 = ${r × (100 - 10)}/100 - 10$
20 = ${9r}/10 - 10$
30 = ${9r}/10$
$r = 300/9$%
List price =450 + 450 × $300/9$%
= 450 + 450 × $300/900$
= 450 + 150 = Rs.600
Question : 3
To gain 8% after allowing a discount of 10%, by what per cent cost price should be hiked in the list price ?
a) 11%
b) 20%
c) 18%
d) 9%
Answer »Answer: (b)
Let the cost price be Rs.100
and marked price be x.
${x × 90}/100 = 108$
${9x}/10 = 108$
$x = {108 × 10}/9 = 120$
Required Percent = 20%
Using Rule 8,
Here, Gain % = 8%, $r_1$ = 10%, r = ?
Gain % = ${r × (100 - r_1)}/100 - r_1$
8 = ${r × (100 - 10)}/100 - 10$
8 = ${r × 90}/100 - 10$
8 = ${r × 9}/10$ = 20%
Question : 4
What price should a shopkeeper mark on an article costing him Rs.200 to gain 35% after allowing a discount of 25% ?
a) Rs.300
b) Rs.360
c) Rs.330
d) Rs.270
Answer »Answer: (b)
Let the marked price be x.
${x × 75}/100 = 200 × 135/100$
$x = {200 × 135}/75$ = Rs.360
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 = 25%, R = 35%, C.P. = Rs.200
Marked price
= Rs.$200 + 200 × ({r + R}/{100 - r} × 100)$%
= $200 + 200 × ({25 + 35}/{100 - 25})$ × 100%
= 200 + ${200 × 60}/75 × 100%$
= 200 + ${200 × 20 × 4}/100$
= 200 + 160 = Rs.360
Question : 5
A trader marks his goods 40% above cost price and allows a discount of 25 %. The profit he makes, is :
a) 10 %
b) 2 %
c) 5 %
d) 15%
Answer »Answer: (c)
Let the cost price be Rs.100.
Marked price = Rs.140
S.P. = ${75 × 140}/100$ = Rs.105
Profit per cent = 5%
Using Rule 8,
Here, r = 40%, $r_1$ = 25%
Profit % = ${r × (100 - r_1)}/100 - r_1$
= ${40 × (100 - 25)}/100 - 25$
= ${40 × 75}/100 - 25$
= $3000/100$ - 25
= 30 - 25 = 5%
Question : 6
If a shopkeeper marks the price of goods 50% more than their cost price and allows a discount of 40%, what is his gain or loss percent ?
a) Loss of 10%
b) Loss of 20%
c) Gain of 20%
d) Gain of 10%
Answer »Answer: (a)
C.P. of article = Rs.100
Marked price = Rs.150
S.P. = ${150 × 60}/100$ = Rs.90
Loss = 100 - 90 = Rs.10 i.e. 10%
Using Rule 8,
Here, r = 50%, $r_1$ = 40%
His loss % = ${r × (100 - r_1)}/100 - r_1$
= ${50 × (100 - 40)}/100 - 40$
= ${50 × 60}/100 - 40$
= –10% (–ve sign shows loss)
= 10% loss
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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