model 7 sold at loss Practice Questions Answers Test with Solutions & More Shortcuts

Question : 21 [SSC CAPFs (CPO) SI 2016]

A shopkeeper purchases two items for Rs.520. One of them is sold gaining 16% and the other at a loss of 10%, thus making no profit or loss. What is the selling price of the item sold at loss?

a) Rs.288

b) Rs.200

c) Rs.232

d) Rs.320

Answer: (a)

C.P. of article sold at loss = Rs.x.

C.P. of article sold at profit = Rs.(520 - x)

According to the question,

x × $10/100 = (520 - x) × 16/100$

5x = 520 × 8 - 8x

13x = 520 × 8

$x = {520 × 8}/13$ = Rs. 320

∴ Its S.P. = ${320 × 90}/100$ = Rs.288

Question : 22 [SSC CGL Tier-II 2015]

There would be a 10% loss, if rice is sold at Rs.54 per kg. To earn a profit of 20%, the price of rice per kg will be

a) Rs.65

b) Rs.72

c) Rs.70

d) Rs.63

Answer: (b)

C.P. of rice per kg

${54 × 100}/90$ = Rs. 60

For 20% profit,

S.P. per kg. = ${60 × 120}/100$ = Rs. 72

Using Rule 3,
If an object is sold on r% Profit.

then,S.P. = C.P$[{100 + \text"Profit%"}/100]$
or
C.P. = S.P$[100/{100 + \text"Profit%"}]$

Similarly, If an object is sold on r% loss, then

S.P. = C.P.$[{100 - \text"Loss%"}/100]$
or
C.P. = S.P$[100/{100 - \text"Loss%"}]$

C.P. = S.P$[100/{100 - \text"Loss%"}]$

= $54(100/{100 - 10})$

C.P. = Rs.60

New S.P. = C.P$[{100 + \text"Profit%"}/100]$

= $60 × ({100 + 20}/100)$ = Rs.72

Question : 23 [SSC MTS 2013]

A businessman bought an article and sold it at a loss of 5%. If he had bought it for 10% less and sold it for Rs.33 more, he would have had a profit of 30%. The cost price of the article is

a) Rs.330

b) Rs.300

c) Rs.155

d) Rs.150

Answer: (d)

C.P. of the article be Rs.x

First S.P. = ${19x}/20$; C.P. = ${9x}/10$

${19x}/20 + 33$

${9x × 130}/1000 = 117/100x$

${117x}/100 - {19x}/20$ = 33

${117x - 95x}/100 = 33$

22x = 33 × 100

$x = {33 × 100}/22$ = Rs.150

Question : 24 [SSC CHSL 2015]

By selling 12 kg of potatoes for Rs.63, a shopkeeper gains 5%. What does he gain or lose percent by selling 50 kg of the same potatoes for Rs.247.50?

a) 1% loss

b) 1% profit

c) No profit, no loss

d) 2.5% loss

Answer: (a)

C.P. of 12 kg of potatoes

= Rs.$({63 × 100}/105)$ = Rs.60

C.P. of 50 kg of potatoes

= $60/12$ × 50 = Rs.250

Loss = Rs.(250 - 247.50) = Rs.2.5

Loss percent = ${2.5}/250 × 100$ = 1%

Question : 25 [SSC CGL Tier-II 2015]

A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs.P, then the cost price of it for A was

a) Rs.$1/20$P

b) Rs.$10/9$P

c) Rs.$9/10$P

d) Rs.$9/20$P

Answer: (b)

C.P. for A = Rs. x (let)

According to the question,

${x × 120}/100 × 75/100$ = P

$x = {P × 100 × 100}/{120 × 75}$ = Rs.$10/9$

Using Rule 15,

Here, $ r_1 = 20%, r_2$ = 25% (Loss)

C.P. for C = C.P. for A

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

P = C.P. for A

$(1 + 20/100)(1 - 25/100)$

C.P. for A = ${P × 100 × 100}/{120 × 75} = {10P}/9$

IMPORTANT quantitative aptitude EXERCISES

model 7 sold at loss Shortcuts »

Click to Read...

model 7 sold at loss Online Quiz

Click to Start..

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 »