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) 15%
(b) 8.5%
(c) 9%
(d) 10.5%
The correct answers to the above question in:
Answer: (d)
Let the C.P. be Rs.100
Marked price = Rs.130
S.P. = 85% of Rs.130
= Rs.$({85 × 130}/100)$ = Rs.110.5
Gain percent = 10.5%
Using Rule 8,
Here, r = 30%, $r_1$ = 15%
Profit % = ${r × (100 - r_1)}/100 - r_1$
= ${30 × (100 - 15)}/100 - 15$
= ${30 × 85}/100$ - 15
= 25.5 - 15 = 10.5%
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Read more based on hiking and discounting Based Quantitative Aptitude Questions and Answers
Question : 1
In a shop, shirts are usually sold at 40% above the cost price. During a sale, the shopkeeper offers a discount of 10% off the usual selling price. If he manages to sell 72 shirts for Rs.13,608, then his cost price per shirt, (in Rs.) is
a) 150
b) 125
c) 149
d) 210
Answer »Answer: (a)
Let the CP of each shirt be Rs.100,
then SP = Rs.140.
New SP = ${140 × 90}/100$ = Rs.126
When S.P. is Rs.126,
C.P. = Rs.100
When S.P. is Rs.$13608/72$,
then C.P. = $100/126 × 13608/72$ = Rs.150
Question : 2
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
Question : 3
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 : 4
How much percent above the cost price should a shopkeeper mark his goods so as to earn a profit of 32% after allowing a discount of 12% on the marked price ?
a) 40%
b) 45%
c) 60%
d) 50%
Answer »Answer: (d)
Let the C.P. be Rs.100
and the marked price be Rs.x.
$x × 88/100$ = 132
$x = {132 × 100}/88$
= 150 i.e., more by 50%
Required percentage = 50%
Using Rule 8,A tradesman marks his goods r% above his cost price. If he allows his customers a discount of $r_1$% on the marked price. Then is profit or loss per cent is${r × (100 - r_1)}/100 - r_1$(Positive sign signifies profit and negative sign signifies loss).
Here, Gain % = 32%, $r_1$ = 12%, r = ?
Gain % = ${r × (100 - r_1)}/100 - r_1$
32 = ${r × (100 - 12)}/100 - 12$
44 = ${r × 88}/100$
r = 50%
Question : 5
Anand marks up the price of an article by 50% and then allows a discount of 20% and sells it to Balaji. Balaji sells it for Rs.20 more than what he purchased for, this S.P is 30% more than the original C.P of the article. Then Balaji's profit % is
a) 6.66%
b) 9%
c) 8.33%
d) 7.5%
Answer »Answer: (c)
For Anand,
Cost price = Rs.x
Marked price = Rs.$3/2$x
Selling price
= ${3x}/2 × 80/100$ = Rs.${6x}/5$
For Balaji,
Cost price = Rs.${6x}/5$
Selling price = Rs.$({6x}/5 + 20)$
${6x}/5 + 20 = {x × 130}/100$
${13x}/10 - {6x}/5 = 20$
${13x - 12x}/10 = 20$
$x/10$ = 20 ⇒ x = Rs.200
Required gain percent
= $20/{{6x}/5} × 100$
= ${20 × 5 × 100}/{6 × 200} = 25/3 =8.33%$
Question : 6
Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt if its marked price is Rs.850?
a) Rs.720
b) Rs.680
c) Rs.700
d) Rs.650
Answer »Answer: (b)
Cost price of the shirt = Rs.x
$x × 120/100 = {850 × 96}/100$
x × 120 = 850 × 96
$x = {850 × 96}/120$ = Rs.680
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 = 4%, M.P. = Rs.850, C.P. = ?
$\text"M.P."/\text"C.P."= {100 + r}/{100 - D}$
$850/\text"C.P." = {100 + 20}/{100 - 4}$
C.P. = ${850 × 96}/120$
C.P. = Rs.680
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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