Monday, April 30, 2012

Profit and Loss Exercise


1.Alfred buys an old scooter for Rs.4700 and spends Rs 800 on its repairs.If he sells the scooter for Rs5800,his gain
percent is
a.4 4/7 % b.5 5/11 % c.10 % d.12%

2.Shyam purchased 20dozens 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. 4.5 c. 5.6 d.6.5
3.Peter purchased a machine for Rs 80000 and spent Rs.5000 on repair and Rs.1000
on transport and sold it with 25% profit.At what price did he sell the machine
a.Rs1,05,100 b.Rs1,06,250 c.Rs. 1,07,500 d.none of these


4.vA school bookshop sells an outdated biology text book for $49.35, making a 6% loss.
What was the cost price of the book, and what is the cash value of the loss?
a.$52.50 ,$3.15 b.$62.50,$3.15 c.$52.30,$3.15 d.$53.50,$4.20

5.When a commodity is sold for Rs.34.80 there is a loss of 2% what is the cost price of the commodity
a. Rs26.10 b. Rs. 43 c.Rs 43.20 d.Rs. 46.40

6.A person brought 20lts of milk at the rate of 8per liter .He got it churned after spending
Rs.10 and 5kg of cream and 20lts of tonned milk are obtained.If he sold the cream at Rs30 per kg and toned milk at Rs.4
per lt his profit in the transaction is
a.25% b.35.3% c.35.7% d.42.5%

7.A trader buys a chair for Rs 600 and sells it for Rs 765 at a credit of 4 months
reckoning money worth 6% per annum his gain % is
a.20% b.22.5% c.25% d.27.5%

8.If the sellinfg price of an article is 4/3rd of its cost price the profit in the transaction is
a.16 2 /3% b.20 ½%c.25 ½ % d.33 1/3 %

9.The ratio of cost price to the selling price is 4:5 the profit % is
a.10% b.20% c.25% d.30%

10.At what profit % must an article must be sold so that by selling at half that price
there may be a loss of 30%
a.25% b.36% c.40% d.42%

11.If loss is 1/3 of selling price the loss % is
a.16 2/3% b.20% c.25% d.33 1/3%

12.Tarun got 30% concession on the labled price of an article and sold it for Rs 8750
with 25 % on the price he bought.What was the labled price
a.Rs 10000 b.Rs 12000 c.Rs 16000 d.data inadequate

13.A shopkeeper sol an article offering a discount of 5% and earned a profit of 23.5 %
What woul have been the % of profit earned if no discount is offered
HYPERLINK "http://a.24.5/"#a. 24.5 b.28.5 c. 30 d.none

14.A shopkeeper sells 25 articles at Rs.45 per article giving 10% discount and earns 50% profit .If the discount is not
given the profit gained is
a.60% b.62 2/3 c.66 d.66 2/3

15.A trade marked the selling price of the article at 10% above the cost price.
At the time of selling he allows certain discount and suffers a loss of 1%.He allowed
a discount of
a.9% b.10% c.10.5% d.11%

16.At what % above the cost price must the shop keeper mark his goods so that he gains 20% even after giving a discout
of 10% on marked price
a.25 b.30 c.33 1/3 d.37 ½

17.A tradesman marked his goods 30 % above the cost price if he allows a discount of
6 ¼% then the gain% is
a. 21 7/8% b.20 c.22 d.none

18.A bag marked at Rs 80 is sold for Rs68. The rate of discount is
a.12 b,15% c.17 11/17% d.20%

19.2/3rd of the consignment were sold at a profit of 5% and remainder at the loss of 2%
If the total profit Rs 400 the valu of consignment in Rs is
a. 10000 b.12000 c.15000 d.20000

20.A fair price shopkeeper takes 10% profit on his goods.He lost 20% goods during
theft his loss% is
a.8 b.10 c.11 d.12

Profit and loss Examples


Example Problems
1. A man buys a cycle for Rs.1400 and sells it at a loss of 15%. What is the selling price of the cycle?
 A.   Rs. 1090 B.  Rs. 1160   C.  Rs. 1190 D.  Rs. 1202
Solution : S.P     = 85% of Rs.1400
                          = Rs.(85/100×1400)=Rs.1190.
2. When a commodity is sold for Rs.34.80, there is a loss of 2%. What is the cost price of the commodity?
                A.  Rs. 26.10        B.  Rs.43
                C.  Rs. 43.20        D.  Rs. 46.40
Solution : C.P= Rs.(100 / 75×34.80) = Rs.46.40.
3. Sam 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.  4.5   C.  5.6     D.  6.5
Solution : C.P of 1 toy= Rs.(375/12)
                        = Rs.31.25 S.P of 1 toy= Rs.33.
 Therefore,Profit= (1.75/31.25×100)% =(28/5)% =5.6%.
4. A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%?
 A.  Rs.11.81        B.  Rs.12  C.  Rs.12.25 D.  Rs.12.31
Solution :  85 : 9 = 105 : x
                  x= (9×105/80) = Rs.11.81
              Hence, S.p per Kg= Rs.11.81
5.A shopkeeper give 12% additional discount on the discounted price, after giving an initial discount of 20% on the labelled price of a radio. If the final sale price of the radio is Rs.704, then what is its labelled price?
 A.  Rs. 844.80 B.  Rs. 929.28 C.  Rs. 1000 D.  Rs. 1044.80
Solution :
Let the labelled price be Rs.x.
88% of 80% of x                = 704
                x=(704x100x100 /88x80)
                = 1000. 
6. A man sells two flats at the rate of Rs.1.995 lakhs each. On one he gains 5% and on the other, he loses 5%. His gain or loss percent in the whole transaction is
 A.   0.25% loss   B.   0.25% gain C.   2.5% loss         D.  25% loss
Solution : Loss %= (5/ 10) ²% =(0.5) ²% = 0.25%.
7.Peter purchased a machine for Rs. 80,000 and spent Rs.5000 on repair and Rs.1000 on transport and sold it with 25% profit. At what price did he sell the machine?
A.  Rs. 1,05,100 B.  Rs. 1,06,250 C.  Rs. 1,07,500    D.  Rs. 1,17,500
Solution : C.P     = Rs.(80000+5000+1000)
                            = Rs.86000
Profit= 25%.
S.P          = 12.5% of Rs. 86000
=Rs.(125/100×86000)
=Rs.107500.
8.Samant bought a microwave oven and paid 10 % less than the original price. He sold it with 30% profit on the price he had paid.What percentage of profit did samant earn on the original price?
A.   17%                B.  20% C.  27% D.  32%
Solution : Let the original price =Rs.100.
Then, C.P             = Rs.90.
S.P =130% of Rs. 90         =Rs.(130/100×90)
= Rs.117.
Required percentage     = (117 - 100)%
=17%.
9.Kunal bought a suitcase with 15% discount on the labelled price. He said the suitcase for Rs.2880 with 20% profit on the labelled price. At what price did he buy the suitcase?
 A.  Rs.2040         B.  Rs.2400 C.  Rs.2604    D.  Rs.2640
Solution : Let the labelled price be Rs.x. Then, 120% of x = 2880
Therefore           x=(2880×100/120)
= 2400.
C.P = 85% of Rs.2400       = Rs(85/100x2400)
=Rs.2040.
10.I gain 70 paise on Rs.70. My gain percent is
A.  0.1%                B.  1% C.  7%       D.  10%
Solution : Gain%=(0.70/70×100)% = 1%.

Profit and Loss Key Points


Key Points :
Cost Price :
The price, at which an article is purchased, is called its cost price, abbreviated as cost price.
Selling Price :
The price, at which an article is sold, is called its selling prices, abbreviated as selling price.
Profit or Gain :
If S.P. is greater than C.P., the seller is said to have a profit or gain.
Loss :
If S.P. is less than C.P., the seller is said to have incurred a loss.
Formule :
I).         Gain = (S.P.) - (C.P.)
II).        Loss = (C.P.) - (S.P.).
III).       Loss or gain is always reckoned on C.P.
IV).      Gain Percentage: (Gain %)
Gain % = (Gain x 100 / C.P)
V).       Loss Percentage: (Loss %)
Loss % = (Loss x 100 / C.P )
VI).      Selling Price: (S.P.)
SP = [(100 + Gain %) / 100 x C.P]
VII).     Cost Price: (C.P.)
C.P. = [(100 / (100 + Gain %) x S.P]
VIII).    If an article is sold at a loss of say, 35% then S.P. = 65% of C.P.
IX).      If an article is sold at a gain of say 35%, then S.P. = 135% of C.P.

Tuesday, April 10, 2012

Exercise on Direction sense

Exercise on Direction sense


1.Sham travels 7 km north , then turns right and walks 3 km. He again turns to his righthand side and moves 7 kn forward.how many km is sham away from the place of his starting the journey?
a)7 km       b)3     c)8     d)17
2.Reeta drives to North of her place ofstay A and finds after travelling 25 km that she has driven in the wrong direction. she then turns to the right and travels 2 km and then again turns right and drives straigh another 25 km. how much distance she has now to cover to goback to the point from where she has started?
  a)25          b)2    c)5     d)68

3.Rana travels 10 km north turns left and travels 4 km and then again turns right and covers another 5km. He then turns to righthand side and travels another 4 km.how far is he from the point of starting his journey?
a)15         b)8     c)5     d)none
4.Seeta and ram both start from a point towards north.Seeta turns to left after walking 10 km. Ram turns right after walking the same distance.seeta waits for some time and then walks another 5 km,whereas ram walks only 3 km. they both then return to their respective south and walk 15 km forward. how far is seeta from ram?
a)15          b)10    C)8     d)12

5.A taxi driver commenced his journey from a point and drove 10 km towards north and turned left and drove another 5 km.after waiting to meet one ofhis friends  ,he turned to his right and continued to drive another 10 km.He has covered a distance of 25 km so far but in which direction he now may be>
a)north      b)east  c)west  d)south

6.There is a ring road connecting points A,B,C and D.The road is in a complete circular form but having several approach roads leading to the centre. exactly in the centre of the ring road there is a tree which is 20 km from point A on the circular road.you have taken a round of the circular road starting from point A and finish at the same point after touching points B,C and D.you then drive 20km interior towards the tree from point A and from there reach somewhere in between B and C on the ring road. How much distance you have to travel from the tree to reach the point between B and C on the ring road?
a)20         b)15    c)79    d)78

7.A tourist drives 10 km towards east and turns to righthand side and takes a drive of another 3 km .he then drives towards west another 3km . he then turns to his left and walks another 2km.Afterwards, he turns right and travels 7 km.how far is he from his starting pint and in which direction?
a)10km east  b)8km north    c)5 km west    d)5km south

8.Rahul walks 30 metres towards south.then turns to his right and starts walking straight till he completes another 30 meters.then again turning to his left he walks for 20 meters.he then turns to his left and walks for 30 metres.how far is he from his initial position?
a)50         b)78    c)23    d)67

9.Vandana drove her car for 30 km due north. then she turned left and drove for 40 km,she then turned left again and drove yet another 30 km.again she turned left and drove her car 50km.how far do u think she actually drove her car from the initial position?
a)10         B)5     c)89    d)none

10.Shalloo ran 20 m to the east, then he turned left and walked for 15m then turned right and went 25 m and then tturned right agian and went 15m . how far was shalloo from the starting point?
a)45         b)35    c)25    d)15

11.A girl leaves from herhome.She first walks 30m in north west directions and then 30. in south west direction.next she walks 30m in south east direction.finally,she turns towards her house.in which direction is she moving?
 a)north east b)east  c)west  d)south

12.From his house lokesh went 15kms to the north. then he turned west and covered 10 kms. then he turned south and covered 5kms.finally,turning to est,he covered 10kma.in what direction is he from his house?
a)east      b)west  c)north d)south

13.Kunal walks 10km towards north.from here he walks 6km towards south.then,he walks 3km towards east.how far and in which direction is he with reference to his starting point?
a)5km west b)7km west     c)7km east     d)5km north east

14. A man is facing south.he turns 135 degrees in the anti clockwise direction and then 180 degrees in the clock wise direction. which directon is he facing now?
a)north east       b)nort hwest   c)south east   d)south west

15.A man facing northwest.he turns 90 degrees in the clockwise direction and then135 degrees in the anti clockwise direction.which direction is he facing now?
a)east     b)west  c)north d)south
16.A rat runs 20' towards east and turns to right,runs 10' and turns to right,runs 9' and agian turns to left . runs 5' and then turns to left,runs 12' and finally turns to left and runs 6'.now,which direction is the rat facing?
a)east     b)west  c)north        D)south
17.A  walks 10metres infront. and 10 metres to the right. then everytime turning to his left walks 5,15 and 15 mtrs respectively. how far is he now from his starting point?
a)5  b)27    c)7     d)2

18.Laxman went 15kms to the west from my house, then turned left and walked 20 kms.He then turned east and walked 25kms and finally turning left covered 20kms. how far was  he from his house?
a)5  b)10    c)40    d)80

19.Iam facing east.I turn 100 deg in the clockwise direction and the 145 deg in the anti clockwise direction.Which direction am i facing now?
a)east       b)northe ast   c)north        d)south west

20.Deepa moved a distance of 75 mtrs towards the north. she then turned to the left and walking for about 25 mtrs , turned left again and walked 80 mts. finally , she turned to the right at an angle of 45 deg. In which direction was she moving finally>
a)north east b)north west   c)south        d)south west
Questions 21-24
If you start running from a point towards north and after covering 4kms you turn to your left and run 5km, and then again turn to your left and run 9km and then turn to left again and run another 6km and before finishing you take another left and run 1km then
answer questions 21 - 24
21.How many km are you from the place you started?
a)1   b)2     c)3     d)4
22.In which direction will you be running while finishing?
a)east       b)west  c)north d)south
23.after taking the second turn, in which diretion will you be running?
a)east       b)west  c)north d)south
24.From the finishing point if you have to reach the point from where you started, in which direction will u have to run?
a) east      b)west  c0north d)south
Directions(25-27): Study the given information and answer the following questions
there are 6 check posts A,B,C,D,E AND F
check post F is 15 kms to the north of D which is 25 kms to the north east of B
check post A is 5kms west of E and 15 kms to the south west of C
B,A and E are in straghtline
the check posts B and E are 30kms apart from each other

25. which check post is the farthest to the south west of D?
a) A  b)B     c)C     d)D
26.which port is the nearest and to the north east of E?
a)A   b)B     c)C     d)D
27.If  a jeep moves from E to F via A,B and D, how much distance it will have to cover?
a)130 b)189   c)289   d)797

Directions(28-32): Ram walks 2km towards north and urn to his right and walks 4km more.
 he then turns to his right and walks 4km and  turns again to his right and walks another 4km.Here he meets renu coming from the opposite directions.They both stop here.

 28.After taking the first turn, in which direction was Ram going?
 a)south      b)north c)west  d)east
29.If the starting point is marked A and finishing point is marked B,What will be the distancebetween these points?
a) 10        b)8     c)6     d)2
30.From which direction was Ram coming?
a)south      b)north c)west  d)east
31. After taking the second turn, in which direction was Ram walking>
a) west      b)north c)south east   d)south
32. If ram is to again reach the point from where he started in which direction will he have to go from where he's standing now?
a)east      b)north        c)south east   d)north east

33.If A is to the south of B and C is to the east of B, in what direction is A with respect to
C?
a)northe east       b)northwest    c)south east   d)south west
34.There are 4 towns P,Q, R and T.Q is to the south west of F,R is to the east of Q and
south east of P,and T is to the north of R in line with QP.In which direction of P is T located?
a)south east b)north c)north east   d)east
35.If south east becomes north,north east becomes west and so on, what will west become?
a)northe east       b)north west   c)south east   d)south west

36. One morning after sunrise,Gopal was standing facing a pole.The shadow of the pole fell exactly to his right.What direction was he facing?
a)south     b)east  c)west         d)data inadequate

37.One morning after sunrise reeta and kavitha were talking to each otherface to face at
Tilak square.If kavita's shadow was exactly to the right of reeta, which direction kavitha
was facing?
a)north     b)south        c)east  d)data inadequate

38.One morning after sunrise,vikram and shailesh were standing in a lawn with their backstowards each other.vikrams shadow fell exactly towards left hand side.Which direction was shailesh facing?
a)east      b)west  c)north        d)south

39.One evening before sunset two friends sumit and mohit were talking to eash other face to face.if mohits shadow was exactly to his right side,which direction was sumit facing?
a)north     b)south        c)west  d)none of these

40.A clock is so placed that at 12 noon its minute hand points towards north east.In which
direction does its hour hand point at 1.30 pm?
a)north     b)south        c)east  d)west