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 : 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 »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 »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$[{100 + \text"Profit%"}/100]$orC.P. = S.P$[100/{100 + \text"Profit%"}]$
Similarly, If an object is sold on r% loss, then
S.P. = C.P.$[{100 - \text"Loss%"}/100]$orC.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 »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 »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 »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 = ${P × 100 × 100}/{120 × 75} = {10P}/9$
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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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