# Quant Questions – Profit and Loss Problems Set-5

Dear Readers, Important Practice Aptitude Questions with solution for Upcoming SBI Clerk Exam, candidates those who are preparing for those exams can use this practice questions.
1).Two items A& B are sold at Rs. 500 each. On a there is a gain of 15%, while on B there is a loss of 15%. Find the amount of total profit or loss?
a)ย ย Rs. 20
b)ย ย Rs. 23
c)ย ย Rs. 40
d)ย ย Rs.12
e)ย ย None of these
ย
2).A person sells two articles each for the same price of Rs. 700. On one he gains 10%, while on the other he loses 5%. Find hid overall gain or loss%?
a)ย ย 2%
b)ย ย 3%
c)ย ย 4%
d)ย ย 2.5%
e)ย ย None of these
ย
3).The cost Price of 8 pencils is equal to selling Price of 6 pencils. Find the Profit /loss %.
a)ย ย 45 3/2%
b)ย ย 33%
c)ย ย 33 1/3%
d)ย ย 43 1/2%
e)ย ย None of these
ย
4).A earns the cost price of 4 chairs by selling 3 chairs. What is the profit % ?
a)ย ย 33 1/3%
b)ย ย 30 1/2%
c)ย ย 41 1/4%
d)ย ย 40 1/2%
e)ย ย None of these
ย
5).A fruit seller sells 4 oranges for a rupee and makes a profit of 25%. How many oranges did he buy for a rupee?
a)ย ย 7
b)ย ย 6
c)ย ย 5
d)ย ย 8
e)ย ย None of these
ย
6).When a trader sells egg for Rs. 15 a dozen. He makes a profit of 25%. At what price/egg should he sell in order to make a profit of 30%?
a)ย ย Rs. 1.25
b)ย ย Rs. 1.30
c)ย ย Rs. 2.5
d)ย ย None of these
e)ย ย Cannot be determined
ย
7).By increasing the selling price of an article by 25%, profit increases from 10% to 20%. Find the % increases in the cost Price.
a)ย ย 14.5%
b)ย ย 15.4%
c)ย ย 45.1%
d)ย ย 34.3%
e)ย ย None of these
ย
8).Given that cost Price of an item increases by Rs. 50. While the new selling price increases by 10%, new profit decreases from 20% to 10%. Find the % increases in the cost Price.
a)ย ย 20%
b)ย ย 25%
c)ย ย 40%
d)ย ย None of these
e)ย ย Cannot be determined
ย
9).An account calculated profit to be 25% at end of a financial year. However, later it was detected that, by mistake, the accountant had calculated the profit % on selling Price instead of cost Price. Find the actual Profit % if sales were Rs. 48000 for that particular period.
a)ย ย 66 2/3%
b)ย ย 25%
c)ย ย 50%
d)ย ย 33 1/3%
e)ย ย None of these
ย
10).The cost of 18 articles is equal to selling Price of 22 articles. What is the loss % ?
a)ย ย 21%
b)ย ย 18.1%
c)ย ย 12%
d)ย ย 15.2%
e)ย ย None of these
ย
Answers:ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย
1). b) 2). a) 3). c) 4). a) 5). c) 6). b) 7). a) 8). a) 9). d) 10). b)
Solution:
ย
1).Here, we can use the shortcut-loss% = (x2/ 100)%
Since both the conditions are met S .P. is the same.
The loss % on one = gain % on the other.
Hence, loss % = (x2 / 100)% = [(15 ร 15) / 100]% = 2.25%
Cost Price of A = 500 ร (100 / 115) = Rs. 434.78
Cost Price of B = 500 ร (100 /85) = Rs. 588.2
Total Cost Price = Rs. 1022.98 or Rs. 1023
Amount of loss = (2.25 / 100) ร 1023 = Rs. 23
ย
2). C.P. of one = 700 ร (100 / 110) = Rs. 636.3
C.P. of other = 700 ร (100 / 95) = Rs. 736.84
Total S.P.= 700 + 700 = 1400& total C.P.= Rs. 1373.14
Loss % = (26.86 / 1373 .14) ร 100 = 1.95% or 2% (approx.)
ย
3).ย  C.P. of 8 pencils = S.P. of 6 pencils
C.P. of 1 pencil ร 8 = S.P. of 1 pencil ร 6
(CP / SP) = (6 / 8) hence, there is a profit.
Now let CP = Rs. 6 then SP = Rs. 8, Profit = SP โ CP = 8-6 = Rs. 2
Profit % = (2/6) ร 100= 33(1/3) %
ย
4).ย  Let CP of 1 chair = 100
CP of 4 chairs = 400 = SP of 3 chairs, CP of 3 chairs = 300
Profit % = [(400 – 300) / 300]ร 100 = 33 1/3%
ย
5). S.P. of 4 oranges = Rs. 1 or 100 paise
C.P. of 4 oranges = 100 + (100 / 125) = 80 paise
80 paise is CP of 4 oranges
100 P is CP of (4 / 80) ร 100 = 5 Oranges.
Hence, he bought 5 oranges for a rupee . or Simply SP of 1 orange = 25p
CP of 1 orange = 25 ร (100 / 125) = 20p
For RS. 1 the fruit seller can buy 5 oranges.
ย
6). S.P. of 12 (a dozen) eggs = Rs. 15
S.P. of one egg = 15/12, C.P. of one egg = (15 / 12) ร (100 / 125) = 1
S.P. should be 1+(30 / 100) = Rs. 1.30 so as to give 30% Profit.
ย
7). Let initial SP = 100
Initial CP = 100 ร (100 / 110) = 1000 / 11
New SP = 125
New CP = 125 ร (100 / 120) = 625 / 6
% increase in CP ={ [(625 / 6) โ (1000 / 11)] / (1000 / 11)}ร 100
= [(6875 โ 6000) / 66] ร (11 / 1000) ร 100 = 875 / (6 ร 10) = 14.58%
ย
8). Let initial CP = x , Profit = 20% , Initial S.P. = 1.2 x
New S.P. = (1.2x) ร (1.1), New CP = (100 / 110) ร (1.2x) ร (1.1)
We are given that
New CP โ old CP = 50, (10 / 11) (1.2x) (1.1) โ x = 50
0.2x = 50,ย  x= 250ร  Initial CP.
ย % increases in CP = [(300 – 250) / 250] 100 = (50/ 250)ร 100 = 20%
(new CP = 250 + 50 = 300)
ย
9). Profit = 25% of 48000 = 12000
Cost Price = 48000 โ 12000 = 36000
Actual Profit % = (12000 / 36000) ร 100 = 33 1/3 %
ย
10). CP ร 18 = SP ร 22
(CP / SP) = (22 / 18)
Loss = 4, loss % = (4/22) ร 100 = 18.18%