model 7 sold at loss Practice Questions Answers Test with Solutions & More Shortcuts
profit & loss PRACTICE TEST [11 - 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
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 »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 »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 »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 »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 »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
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model 7 sold at loss Shortcuts »
Click to Read...model 7 sold at loss Online Quiz
Click to Start..profit & loss Shortcuts and Techniques with Examples
-
Model 1 Basic Concepts of C.P and S.P
Defination & Shortcuts … -
model 2 gain lost percentage
Defination & Shortcuts … -
model 3 gain/loss % with C.P/S.P
Defination & Shortcuts … -
model 4 sold & brought
Defination & Shortcuts … -
model 5 marked price
Defination & Shortcuts … -
model 6 sold in circular path
Defination & Shortcuts … -
model 7 sold at loss
Defination & Shortcuts … -
model 8 two article sold in different rates
Defination & Shortcuts … -
model 9 selling an article & interchanging its values
Defination & Shortcuts … -
model 10 reduced/increased price of an article
Defination & Shortcuts … -
model 11 ratio & partnership
Defination & Shortcuts …
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