model 1 profit x after discount y Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 4 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on discount topic of quantitative aptitude

Questions : 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%

The correct answers to the above question in:

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%

Practice discount (model 1 profit x after discount y) Online Quiz

Discuss Form

Valid first name is required.
Please enter a valid email address.
Your genuine comment will be useful for all users! Each and every comment will be uploaded to the question after approval.

Read more based problems makes profit Based Quantitative Aptitude Questions and Answers

Question : 1

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: (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 : 2

A trader sells his goods at a discount of 20%. He still makes a profit of 25%. If he sells the goods at the marked price only, his profit will be

a) 54.25%

b) 50.25%

c) 56.25%

d) 25.56%

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%

Question : 3

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: (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 : 4

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: (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%

Question : 5

The marked price of a radio is Rs.4,800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent will be

a) 25%

b) 22%

c) 18%

d) 20%

Answer: (d)

Let CP of radio be Rs.x.

According to the question,

${108x}/100 = 4800 × 90/100 = 4320$

$x {4320 × 100}/108$ = Rs.4000

If no discount is allowed,

Gain per cent

= $800/4000 × 100 = 20%$

Using Rule 6,

M.P. = Rs.4800, D = 10%, r = 8%

$\text"MP"/\text"CP" = {100 + r}/{100 - D}$

$4800/\text"CP" = {100 + 8}/{100 - 10}$

C.P. = ${4800 × 90}/108$

C.P. = 4000

Gain % (without discount)

= ${4800 - 4000}/4000 × 100$

= $800/4000 × 100$ = 20%

Question : 6

A shopkeeper marks his goods 20% above his cost price and gives 15% discount on the marked price. His gain percent is

a) 1%

b) 2%

c) 5%

d) 4%

Answer: (b)

If the C.P. of goods be Rs.100, then

Marked price = Rs.120

S.P. = ${120 × 85}/100$ = Rs.102

Hence, Profit per cent = 2%

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, r = 20%, r1 = 15%

Gain % = ${r × (100 - r_1)}/100 - r_1$

= ${20 × (100 - 15)}/100 - 15$

= ${20 × 85}/100 - 15$

= 17 - 15 = 2%

Recently Added Subject & Categories For All Competitive Exams

Classification MCQ Test: IBPS RRB PO 2024 Scale-1 Prelims

Free 150+ Classification Verbal Reasoning Multiple choice questions and answers practice test series PDF, Free Quiz For IBPS RRB PO Officer Scale 1 Level 2024

28-Mar-2024 by Careericons

Continue Reading »

100+ Analogy Verbal Questions Answers PDF For IBPS RRB PO

Most Important Analogy Verbal Reasoning Multiple choice questions and answers practice test series PDF & Free Quiz For IBPS RRB PO Officer Scale 1 Level 2024

27-Mar-2024 by Careericons

Continue Reading »

IBPS RRB Clerk 2024 Seating Arrangement Questions Answers

Seating Arrangement: Verbal Reasoning Practice multiple choice questions and answers test & Quiz PDF for IBPS RRB (Assistant Multipurpose) Clerk Prelims 2024

26-Mar-2024 by Careericons

Continue Reading »

Top Aptitude Time & Distance Questions PDF: IBPS RRB Clerk

Important Aptitude Time and Distance multiple choice questions answers practice test PDF for IBPS RRB Clerk (Office Assistant Multipurpose) Prelims 2024 Exam

25-Mar-2024 by Careericons

Continue Reading »