model 7 sold at loss Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on profit & loss topic of quantitative aptitude

Questions : A cooker is sold at a gain of 16%. If it has been sold for Rs.20 more, 20% would have been gained. The cost price of the cooker is

(a) Rs.350

(b) Rs.600

(c) Rs.400

(d) Rs.500

The correct answers to the above question in:

Answer: (d)

Let the CP of the cooker be Rs.x.

Initial SP = ${116x}/100$

Again, SP = $({116x}/100 + 20)$

${116x}/100 + 20 = {120x}/100$

116x + 2000 = 120x

4x = 2000 ⇒ $x = 2000/4$ = Rs.500

Using Rule 11,

Here, x = 16%, R = 20, Y = 20%

C.P. = ${R × 100}/{y - x}$

= ${20 × 100}/{20 - 16}$ = Rs.500

Read more questions on profit and loss of sold at loss Click Here »

Practice profit & loss (model 7 sold at loss) 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 sold at loss Based Quantitative Aptitude Questions and Answers

Question : 1

A man sells his typewriter at 5% loss. If he sells it for Rs.80 more, he will gain 5%. The cost price of the typewriter is

a) Rs.1,600

b) Rs.800

c) Rs.1,200

d) Rs.1,000

Answer: (b)

Let the CP of the typewriter be Rs.x.

At 5% loss, SP = ${95x}/100$

Now, ${95x}/100 + 80 = {105x}/100$

${105x}/100 - {95x}/100 = 80$

${105x - 95x}/100 = 80$

$x = 8000/10$ = Rs.800

Using Rule 11,

Here, x = 5%, R = 80, y = 5%

C.P. = ${R × 100}/{y + x}$

= ${80 × 100}/{5 + 5}$ = Rs.800

Question : 2

A man sold an article at a loss of 20%. If he has sold that article for Rs.12 more he would have gained 10%. Find the cost price of that article :

a) Rs.60

b) Rs.22

c) Rs.40

d) Rs.30

Answer: (c)

Simple Approach

80% x + 12 = 110%

Let x be the cost price

30% x = 12 = $12/30 × 100$ = Rs.40

Using Rule 11,

Here, x = 20%, R= 12, y = 10%

C.P. = ${R × 100}/{y + x}$

= ${12 × 100}/{20 + 10}$ = Rs.40

Question : 3

A man sells an article at a gain of 15%. If he had bought it at 10% less and sold it for Rs.4 less, he would have gained 25%. The cost price of the article is

a) Rs.140

b) Rs.185

c) Rs.150

d) Rs.160

Answer: (d)

C.P. of article be Rs.x

S.P. at 15% gain

= ${115x}/100 = {23x}/20$

New C.P. = Rs.${90x}/100$

New S.P. = Rs.${90x}/100 × 125/100$ = Rs.${9x}/8$

${23x}/20 - {9x}/8 = 4$

${46x - 45x}/40 = 4$

x = 40 × 4 = Rs.160

Question : 4

Yogita sold a plasma TV at 20% gain to Shyamla. Shyamla sold it to Deepa at 10% profit. If Deepa had to pay Rs.33,000 for the plasma TV, find the cost price of the plasma TV for Yogita.

a) Rs.30,000

b) Rs.40,000

c) Rs.25,000

d) Rs.35,000

Answer: (c)

C.P. of T.V. for Yogita = Rs.x (let)

According to question,

$x × 120/100 × 110/100$ = 33000

$x = {33000 × 100 × 100}/{120 × 110}$ = Rs.25000

Using Rule 15,
If A sells an article to B at a profit (loss) of $r_1$% and B sells the same article to C at a profit (loss) of $r_2$% then the cost price of article for C will be given by
C.P of article for C
= C.P. of A × $({1 ± r_1}/100)({1 ± r_2}/100)$
(Positive and negative sign conventions are used for profit and loss.)

Here, $ r_1 = 20%, r_2 = 10%$

C.P. for Deepa = C.P. for yogita

$({1 + r_1}/100)({1 + r_2}/100)$

33000 = C.P. for Yogita

$(1 + 20/100) (1 + 10/100)$

C.P. for Yogita = ${33000 × 100 × 100}/{120 × 110}$ = Rs.25,000

Question : 5

On selling an almirah for Rs.2576, a person got a profit of 12%. Had it been bought for Rs.100 less, the profit per cent would have been

a) 11$1/9%$

b) 17$9/11%$

c) 13$1/3%$

d) 17$1/11%$

Answer: (d)

CP of the article

= $(100/112 × 2576)$ = Rs.2300

New CP = Rs.2200

Gain per cent

= ${2576 - 2200}/2200 × 100 = 17{1}/11$

Question : 6

Sandeep sells an article at a loss of 10%. Had he bought it at 20% less and sold it for Rs.55 more, he could have gained 40%. What is the cost price of the article ?

a) Rs.200

b) Rs.275

c) Rs.225

d) Rs.250

Answer: (d)

C.P. of article = Rs. x

First S.P. = Rs.${9x}/10$

Case II,

C.P. = ${80x}/100$ = Rs.${4x}/5$

According to the question,

${4x}/5 × 140/100 - {9x}/10$ = 55

${56x}/50 - {9x}/10$ = 55

${56x - 45x}/50$ = 55

11x = 50 × 55

$x = {50 × 55}/11$ = Rs.250

Need More Mcqs on profit & loss of model 7 sold at loss Click Here »
GET profit & loss PRACTICE TEST EXERCISES

Model 1 Basic Concepts of C.P and S.P

model 2 gain lost percentage

model 3 gain/loss % with C.P/S.P

model 4 sold & brought

model 5 marked price

model 6 sold in circular path

model 7 sold at loss

model 8 two article sold in different rates

model 9 selling an article & interchanging its values

model 10 reduced/increased price of an article

model 11 ratio & partnership
profit & loss Shortcuts and Techniques with Examples
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz

Recently Added Subject & Categories For All Competitive Exams

100+ Quadratic Equation Questions Answers PDF for Bank

Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

IBPS Aptitude Linear Equations MCQ Questions Answers PDF

Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

New 100+ Compound Interest MCQ with Answers PDF for IBPS

Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams

02-Jul-2024 by Careericons

Continue Reading »

100+ Mixture and Alligation MCQ Questions PDF for IBPS

Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams

02-Jul-2024 by Careericons

Continue Reading »