Tuesday 14 January 2014

Solved problems on profit loss for banking examinations


1)Sachin buys an old camera for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the camera for Rs. 5800, his gain percent is:
a)30/7%               b)60/11%             c)10%                    d)12%

Sol:        
                Cost Price(CP)=(4700+800)=5500
                Selling Price(SP)=5800
                If SP>CP there is profit and it is
                Profit=(5800-5500)=300
                %profit=(profit/CP)*100
                                =(300/5500)*100
                                =5.454545%
And value of 60/11is 5.454545 so b)60/11% is the answer.

2)If selling price of an article is doubled, its profit triples. Find the profit percent.
a)130%            b)120%                 c)100%                  d)300%

Sol:
        Let C.P. be x and S.P. be y.
        Simple profit formula=(y-x) ------------1
        S.P. gets doubled=2y
        New Profit = (2y - x)
        Its profit gets tripled =3(y-x)
        Then, 3(y - x) = (2y - x)
                    y = 2x.
        from eq 1
        hence profit=(2x-x)=x
        %profit=(x/x)*100
                  =100%
       So ans is c)100%

3) A man buys a TV for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the TV?
a)1009             b)1060             c)1190             d)1200

Sol:
                Cost Price(CP)=1400
                Loss is incurred so Selling Price<Cost Price
                % loss=15%
                As per formula
                % loss=(loss/CP)*100
                15=(loss/1400)*100
                15=(loss/14)
                15*14=loss
                210=loss
Here loss incurred is 210
Hence Selling Price (SP)=(1400-210)=1190
So ans is c)1190           

4)Sameer purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
a)3.5%  b)5.6%  c)6.5%   d)2.5%
Sol:        
Cost Price(CP)=375*20(Dozens)=7500
Total Toys=20*12(In Dozen)=240 toys
Selling Price (SP)=240(Toys)*33(Price of each toys)=7920

There is profit as SP>CP
Profit=(7920-7500)=420
As per formula
%profit=(profit/CP)*100
                                =(420/7500)*100
                                =5.6%
Hence ans is b)5.6%

5)On selling 17 pens at Rs.720, there is a loss equal to the cost price of 5 pens. The cost price of a pen is?
a)60       b)45       c)55        d)65

Sol:
Lets consider price of one pen is x
There is loss of 5 pens means that person sold 12(17-5) pens in 720
So Cost Price on 12 pens is 720
Price of one pen is
x=720/12
   =60
Price of one pen is Rs.60/-
Hence ans is a)60 



6)Ramesh purchased cycle for Rs. 5000 and spends Rs. 250 on its transportations. If he sells the cycle for Rs. 5075, Find his profit or loss percentage?
a)3/7%               b)10/3%             c)10%                    d)12%
Sol:        
                Cost Price(CP)=(5000+250)=5250
                Selling Price(SP)= 5075
                If SP<CP there is loss and it is
                loss=(5250-5075)=175
                %loss=(loss/CP)*100
                                =(175/5250)*100
                                =10/3%
                                        =3.33%
Hence Ramesh incurred a loss of 3.33%
And value of 10/3 is 3.33% so b) 10/3 % is the answer.

7)On selling 24 pencils, Sheetal loss an amount equal to cost price of 3 pencils. Find his loss percentage?
a)12/3%       b)50/4%       c)12%        d)65%
Sol:         Lets us consider price of one pencil is Re.1
Cost price of 24 pencils=Rs.24
Loss= Cost price of 3 pencils=Rs.3
%loss=(loss/CP)*100
                =(3/24)*100
                =12.5%
Ans is b)50/4%, Sheetal loss percentage is 12.5%,

8)Which is the best transactions in the term of percentage profit?

CP
Profit
a)
36
17
b)
50
24
c)
40
19
d)
60
29
Sol:


CP
Profit
Simplification
%profit
a)
36
17
(17/36)*100
47.22%
b)
50
24
(24/50)*100
48.00%
c)
40
19
(19/40)*100
47.5%
d)
60
29
(29/60)*100
48.33%
Hence best transactions is d) 48.33% in the term of percentage profit
9)Ramesh purchased a machine for Rs.90000 and spent Rs.5000 and Rs.1000 on transport and sold it with 25% profit. At what price did he sell the machine?
a)120000      b)121000       c)102000      d)100200
Sol:     CP = (90000+5000+1000)=96000
                SP=125% of 96000
                     =125*(1/100)*96000
                     =120000
To get 25% profit on Rs.96000 it should be sold at Rs.120000
Hence ans is a)120000     
10)A shopper expect a gain of 22.5% on his cost price. If in a week his sale was Rs.392, What is his profit?
a)18.2      b)88.25       c)70     d)72

Sol:
CP = (100*SP)/(100+%profit)
     =(100*392)/(100+22.5)
     =(100*392)/122.5
     =320
Profit=392-320
         =72
Ans is d)72
 

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