# model 1 profit x after discount y Practice Questions Answers Test with Solutions & More Shortcuts

#### discount PRACTICE TEST [4 - EXERCISES]

Question : 1

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%

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%

Question : 2 [SSC DEO 2009]

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%

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 : 3 [SSC CPO S.I.2003]

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%

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 : 4 [SSC CGL Tier-I 2013]

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%

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 : 5

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%

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%

#### model 1 profit x after discount y Online Quiz

###### RECENT BLOGS    ## Recently Added Subject & Categories For All Competitive Exams

#### Coded Inequalities Reasoning Questions & Answers For Bank

New 150+ Coded Inequalities Verbal Reasoning Multiple-Choice Questions and Answers Free Practice Test & Online Quiz PDF For All IBPS PO SO & CLERK 2024 Exams

28-Nov-2023 by Careericons

#### 150+ Problem Solving Questions and Answers For Bank Exams

Problem-Solving Verbal Reasoning Concepts based Multiple Choice Questions and Answers Mock Test & Online MCQ Quiz for All 2024 Upcoming IBPS PO Clerk SO Exam

28-Nov-2023 by Careericons

#### New 150+ Syllogism Verbal MCQ Test PDF For IBPS RRB Exams

Free Syllogism Practice Multiple Choice Questions with Solved Answer PDF and All Verbal Reasoning Topics Online Mock Test For IBPS RRB PO & Clerk Exams 2024.

27-Nov-2023 by Careericons

#### New 200+ Syllogism Questions & Answers PDF For SSC Exams

Free Verbal Reasoning Syllogism Multiple Choice Questions with Solved Answer PDF & Online Mock Test. Prepare for all upcoming SSC CGL, CHSL, MTS Exams 2024

25-Nov-2023 by Careericons