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) 6.66%
(b) 9%
(c) 8.33%
(d) 7.5%
The correct answers to the above question in:
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
= $20/{{6x}/5} × 100$
= ${20 × 5 × 100}/{6 × 200} = 25/3 =8.33%$
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Question : 1
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 : 2
A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. His percentage of profit when sold in cash is
a) 15%
b) 8.5%
c) 9%
d) 10.5%
Answer »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%
Question : 3
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 : 4
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
Question : 5
A trademan marks his goods at 20% above the cost price. He allows his customers a discount of 8% on marked price. Find out his profit per cent.
a) 10.4%
b) 8.2%
c) 8.6%
d) 12%
Answer »Answer: (a)
Suppose C.P. = 100
On 20% above S.P. = 120
On discount of 8%
= $120 - 120 × 8/100$
= $120 - 48/5$ = 120 - 9.6 = 110.4
Gain = 110.4 - 100 = 10.4%
Using Rule 8,
Here, r = 20%, $r_1$ = 8%
Profit or loss
= ${r × (100 - r_1)}/100 - r_1$
= ${20 × (100 - 8)}/100 - 8$
= ${20 × 92}/100 - 8$
= 18.4 - 8 = 10.4% profit
Question : 6
A trader marks his goods45% above the cost price and gives a discount of 20% on the marked price. The gain % on goods he makes is :
a) 14%
b) 16%
c) 29%
d) 15%
Answer »Answer: (b)
Let the C.P. of article be Rs.100
Marked price = Rs.145
S.P. = ${145 × 80}/100$ = Rs.116
Profit percent = 16%
Using Rule 8,
Here, r = 45%, $r_1$ = 20%
Gain % = ${r × (100 - r_1)}/100 - r_1$
= ${45 × (100 - 20)}/100 - 20$
= $3600/100$ - 20
= 36 - 20 = 16%
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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