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

Question : 1 [SSC CHSL 2015]

A merchant has 1000 kg sugar, part of which sells at 8% profit and the rest at 18% profit. He gain 14% on the whole. The quantity sold at 8% profit is :

a) 560 kg.

b) 400 kg.

c) 600 kg.

d) 640 kg.

Answer: (b)

Let the quantity of sugar at 8% profit be x kg.

Quantity of sugar sold at 18% = (100 - x) kg

According to the question,

$x × 108/100 + (1000 - x) × 118/100$

= ${1000 × 114}/100$

108x + 118000 - 118x = 114000

10x = 118000 - 114000

10x = 4000 ⇒ x = 400 kg

Question : 2 [SSC CHSL 2012]

A book vendor sold a book at a loss of 20%. Had he sold it for Rs.108 more, he would have earned a profit of 30%. Find the cost price of the book ?

a) Rs.216

b) Rs.432

c) Rs.648

d) Rs.240

Answer: (a)

If the cost price of the book be Rs.x, then

${x × 80}/100 + 108 = {x × 130}/100$

${5x}/10 = 108 ⇒ x = Rs.216$

Using Rule 11

Here, x = 20%, R= Rs.108, y=30%

C.P. = ${R × 100}/{y + x}$

= ${108 × 100}/{30 + 20}$

= $10800/50$ = Rs.216

Question : 3 [SSC CGL Tier-II 2017]

The profit earned by a shopkeeper by selling a bucket at a gain of 8% is Rs.28 more than when he sells it at a loss of 8%. The cost price (in Rupees) of the bucket is

a) 170

b) 165

c) 190

d) 175

Answer: (d)

Let the C.P. of bucket be Rs.x.

According to the question,

${108x}/100 - {92x}/100$ = 28

${16x}/100$ = 28

$x = {28 × 100}/16$ = Rs.175

Question : 4 [SSC CGL Prelim 2007]

A book seller sells a book at a profit of 10%. If he had bought it at 4% less and sold it for Rs.6 more, he would have gained 18$3/4%$. The cost price of the book is

a) Rs.130

b) Rs.160

c) Rs.140

d) Rs.150

Answer: (d)

Let the CP of the book be Rs.x.

Initial SP = $110/100 × x = 1.1 x$

New CP = 0.96 x

New SP = $(100 + 75/4)%$ of 0.96x

=$475/400 × 0.96x = 1.14 x$

Therefore, 1.14 x –1.1x = 6

0.04 x = 6

$x = 6/{0.04} = 600/4 = 150$

CP = Rs.150

Question : 5 [SSC DEO 2009]

When an article is sold at a gain of 20%, it yields Rs.60 more than when it is sold at a loss of 20%. The cost price of the article is

a) Rs.200

b) Rs.120

c) Rs.150

d) Rs.140

Answer: (c)

Let the CP of the article be Rs.x.

${120x}/100 - {80x}/100 = 60$

40x = 60 × 100

$x = {60 × 100}/40$ = Rs.150

Using Rule 11,

Here, x = 20%, R= Rs.60, y= 20%

C.P. = ${R × 100}/{y + x}$

= ${60 × 100}/{20 + 20}$

= $6000/40$ = Rs.150

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

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 »

IBPS Profit and Loss Questions Solved Problems with PDF

Most important Profit and Loss multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Aptitude MCQ Practice Exercises all competitive exams

28-Jun-2024 by Careericons

Continue Reading »

100+ Average Aptitude Questions Answers solutions MCQ PDF

New Average multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Quantitative Aptitude MCQ Practice Exercises all competitive exams

28-Jun-2024 by Careericons

Continue Reading »