# Quant Questions – Profit and Loss Problems Set-3

Dear Readers, Important Practice Aptitude Questions for Upcoming Bank PO/Clerk Exams was given here with Explanations. Aspirants those who are preparing for the examination can use this.

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1).ย A cloth merchant, selling at 15% profit uses a faulty measuring rod, that measures 90cm for a meter . Find his profit percent actually earned.
a)ย ย ย 17%
b)ย ย ย 37.5%
c)ย ย ย 27.7%
d)ย ย ย 21.2%
2).ย A trader makes a profit of 20% on the whole even when his scale reads 15% less. What is his % mark up, over and above cost Price?
a)ย ย ย 33(1/3)%
b)ย ย ย 16.67%
c)ย ย ย 41%
d)ย ย ย 28%
3).ย A mixes 20 kg sugar which cost him Rs.10/ kg with 35 kg of Sugar that cost him Rs.14 / kg and sells the mixture at Rs.13 / kg. What is his profit % ?
a)ย ย ย 4.12%
b)ย ย ย 3.62%
c)ย ย ย 2.82%
d)ย ย ย None of these
4).ย A fruit seller buys 100 apples, at 2 per rupee and 125 apples at 3 per rupee. He mixes them together and sell for 1 per rupee. Find his Profit / loss % ?
a)ย ย ย 100%
b)ย ย ย More than 100%
c)ย ย ย Less than 100%
d)ย ย ย None of these
5).ย A man buys oranges at 6 a rupee. For how many a rupee should he sell so as to gain 20% ?
a)ย ย ย 3
b)ย ย ย 2
c)ย ย ย 5
d)ย ย ย None of these
6).ย Babli bought 30 pens and 10 pencils for Rs.600. She sold the pens at a profit of 10% and pencils at a profit of 20% and made a total profit of Rs.90. Find the Cost Price per pen.
a)ย ย ย Rs. 15
b)ย ย ย Rs. 5
c)ย ย ย Rs. 20
d)ย ย ย None of these
7).ย A sales man sells shirt at a profit of 10%. When he increases the Selling Price by Rs. 25 per shirt, Theย profit increases by 5% . Find the new S.P.
a)ย ย ย Rs. 500
b)ย ย ย Rs. 525
c)ย ย ย Rs. 575
d)ย ย ย Cannot be determined
8).ย A shopkeeper marks his goods 16.67% above its Cost Price. Find the maximum discount that he can give so that he still makes a profit of 5% ?
a)ย ย ย 11.6%
b)ย ย ย 9.6%
c)ย ย ย 10%
d)ย ย ย None of these
9).ย A traveler sells his goods at 15% discount and incurs a loss of 2% . How much % above cost price does he mark up his goods?
a)ย ย ย 13.5%
b)ย ย ย 12.3%
c)ย ย ย 15.3%
d)ย ย ย 11.5%
10).ย A busy a television at a discount of 10% and sells it at a profit of 20%. How much % above the marked Price is the Selling Price ?
a)ย ย ย 20%
b)ย ย ย 15%
c)ย ย ย 12%
d)ย ย ย 8%
Answers:ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย
1). c) 2). c) 3). b) 4). b) 5). c) 6). d) 7). c) 8). c) 9). c) 10). d)
Solutions:
1).ย Let C.P. per cm = Rs. 1, for 90 cm = Rs. 90
CP for 100 cm = Rs.100, SP for 100 cm = 115
Profit % = [(115-90) /90] ร 100 = 27.7%
ย
2).ย According to the question, a trader is given more to a customer than for what he is charging because his scale is reading 15% less. That means when the trader is giving 100 units actually, his scale is showing only 85 units.
Let C.P per unit =ย Rs. 1,
CP for 100 units = Rs. 100 (Actual C.P.)
Actual Revenue earned = 100 + 20%[.: Actual profit = 20%]
= Rs.120ย ร ย (S.P. for 85 units according to trader)
C.P. for 85 units = Rs.85 (Wrong C.P)
According to trader, he is selling 85 units for Rs.120
Mark up % = [(120-85) / 85] ร100 = 41.1%
[Noteย ย : The trader is charging Rs.120 for 85 units, although he is actually giving 100 units to the customers].
ย
3).ย Total CP = (20 ร10) + (35 ร14) = 200 + 490 = 690
Total SP = 13(20 + 35) = 715
% Profit =[ (715 – 690) / 690] ร 100 = 3.62%
ย
4).ย Total Cost Price = 100 (1/2) + 125 (1/3)
= 50+41.66 = 91.66
Total S.P = 225 ร 1 = 225
Profit % =[ (225 โ 91.66) / 91.66] ร 100 = 145.47%
ย
5).ย C.P. of 6 oranges = Rs. 1
S.P. of 6 oranges = 1 + (20 / 100)(1) = 1.2
Rs. 1.2 is SP for 6 oranges.
Rs. 1 is SP for (6/1.2) ร (1) = 5 oranges.
ย
6).ย Let C.P per pen = Rs. x
C.P. for 30 pens = 30x
CP for 10 pencils = 600 โ 30x
(10/100)(30x) + (20/100)(600 โ 30x) = 90
3x + 120 – 6x = 90
30 = 3x
x = 10
ย
7).ย Profit of 5% = 25
(5 /100) CP = 25, CP = 500
Initial S.P = 500 ร (110 / 100) = 550
New S.P = 550 + 25 = 575 or 500 ร (115 / 100) = Rs. 575
ย
8).ย 16.67 % = 1/6
Letย C.P. = 120, then marked Price = 140
To make a profit of 5 %, Selling Price should be 120 ร (105 / 100) = 126
Hence, 140 โ (x / 100) (140) = 126
14 = (7/5 ) xย ร ย x = 10, a maximum discount of10% can be given, so that the shopkeeperย  still makes a profit of 5%.
ย
9).ย Let M.P = 100, then S.P. = (85 / 100) ร 100 = 85
C.P = 85 ร (100 / 98) = 86.73
Mark up above Cost Price = [(100 โ 86.73) / 86.73 ] ร 100 = 15.3%