Formulae on Stock & Shares: 1.No: of stock =
Formulae on Debentures: 2.No: of Share =

Friday, October 26, 2007
STOCK AND SHARES
CALENDERS

BANKERS DISCOUNT
B.D > Bankers Discount 1.On bill for unexpired time ,
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.

TRUE DISCOUNTS
T.D > True Discount 1.
2.
3.
4.
5.
6.
7.When the sum is put at C.I ,
8.
9.
10.
11.When the interest is at C.I ,

CLOCKS
1.For coinciding the hands ,
x > first given time. 2.Right angles at each other ,
3.Opposite Direction ,
4.For finding time when it is 't'min space apart ,
5.For finding the angle between the hands of a clock is ,

NUMBER SERIES
1.The difference between the no: and the no: obtained by interchanging the digits is 'x'.The difference between digits is ,
2.The sum of the no: and the no: obtained by interchanging the digits is 'y'.The sum of the digits is ,
3.The sum of two numbers is 'x' and their difference is 'y'.The product of the no: is ,
4.

PIPES AND CISTERNS
1.
2.
3.Time for filling , (Filling pipe is bigger in size.)
4.Time for emptying , (emptying pipe is bigger in size.)
5.
6.Pipes 'A' & 'B' can fill a tank in f_{1}hrs & f_{2}hrs respectively.Another pipe 'C' can empty the full tank in 'e'hrs.If the three pipes are opened simultaneously then the tank is filled in ,
7.Two taps 'A' & 'B' can fill a tank in 't_{1}' & 't_{2}' hrs respectively.Another pipe 'C' can empty the full tank in 'e'hrs.If the tank is full & all the three pipes are opened simultaneously . Then the tank will be emptied in,
8.A filling tap can fill a tank in 'f'hrs.But it takes 'e'hrs longer due to a leak at the bottom.The leak will empty the full tank in ,
9.Capacity of the tank is ,
10.
11.

MENSURATIONS

PROFIT AND LOSS
1.
2.
3.
4.
5.
6.
7.
8.
9.By selling an article for Rs/ 'S'_{1} , a man looses 'L%'.In order to gain 'G%' he uses the following formula,
10.If C.P of 'x' articies is equal to the S.P of 'y' articles,the profit% is:
11.
12.
13.
14.
15.
x_{1} > gain_{1} (or) loss_{1} x_{2} > gain_{2} (or) loss_{2} 16.
17.Overall gain or loss =
Where x_{1},x_{2},x_{3} > Parts of items sold 
AGES
No seperate formulas,But problems are done by logical method.

RATIO AND PROPORTION
1.If a:b = c:d , then Product of Means=Product of Extremes i.e
2.Each part =
3.If a:b = x:y & b:c = p:q ,then
4.Third proportion to 'x' & 'y' =
5.The mean proportion between 'a' & 'b' =

BOATS AND STREAMS
b > Boat speed/Man speed in water.
c > Current Speed/Speed of the River.
d > Down stream speed.
u > Up stream speed.
D > Total distance travelled.
T > Total time.
1.
d=b+c 
2.
u=bc 
3.
b=(d+u)/2 
4.
c=(du)/2 
5.Average Speed=(2xy)/x+y i.e
(b^{2}c^{2})/b 
6.
D=[T(xy)]/x+y=[T(b^{2}c^{2})]/2b 
7.
T=(D*2b)/b^{2}c^{2} 
8.
T=(D/d)+(D/u)=[D/(b+c)]+[D/(bc)] 
SIMPLIFICATIONS
1.
V >  (Veruculum)
B > () (Bracket)
O > of (of)
D > % (division)
M > * (Multiplication)
A > + (Addition)
S >  (Subtraction)
In this chapter, we must simplify the problems in
the above order only.
DECIMAL FRACTIONS

L.C.M AND H.C.F
1.H.C.F of fractions =
2. (i)which will be divided  L.C.M (ii)Which divides  H.C.F 3.The greatest number which can divide x, y and z leaving the same remainder 'A' in each case is XA = ?, YA = ?, ZA = ? and Find the H.C.F of obtained numbers. 4.The greatest number by which if x and y are divided. The remainder will be A&B respectives is, x.A = ? , yB = ? Find the H.C.F of obtained numbers. 5.L.C.M of fractions =
6.
7. The least number which when divided by x,y and z leaves the remainder A,B and C respectively is, xA = ? , yB = ? , zC = ?. Here, there will be equal difference between them i.e., D.
8.The smallest number which when diminished by A, is divisible by p,q,r,s is,

ALLIGATION AND MIXTURES
1.
2.Mean rate of interest,
3.Final % of Alcohol =
P_{i} > Initial percentage 11. The mixture drawn out and replaced with water, so that the mixture may be half water and milk is =
12.One gallon =

TIME AND WORK
1.
2.
3.
L > L.C.M of t_{A},t_{B},t_{C}. 4.
5.If A+B, B+C, A+C are given then A+B+C=? (i)
(ii)
(iii)
6.
7.
8.Working alternatively,

COMPOUND INTEREST
1.
P > Principle15.
16.

AVERAGES
1.
2.(i)When a person joins a group in case of increasing average Age weight of new comer =
(ii)In case of decreasing Average, Age (or) weight of new comer =
3.When a persom leaves a group and another person joins the group in the place of person left, then (i)In case of increasing average, Age (or) weight of new comer =
(ii)In case of decreasing Average, Age (or) weight of new comer =
4.When a person leaves the group but no body joins this group, then (i)In the case of increasing Average, Age (or) weight of man left =
(ii)In case of decreasing Average, Age (or) weight of new comer =
5.If a person travels a distance at a speed of x Km/hr returns to the original place of y Km/hr then average speed is
6.If half of the journey is travelled at speed of x km/hr and the next half at a speed of x km/hr. Then average speed during the whole journey is
7.If a person travels 3 equal distances at a speed of x Km/hr, y Km/hr,z km/hr.Then average speed during whole journey is
8. A½
9.A½
10.A½
11.A½

DISCOUNTS
1.
x > Extra percentage added to C.P to fix 2.
3.
4.
5.Successive Discounts,
6.
7.
8.
9.
10.Difference of discounts =
11.
12.
13.
14.
15.
16.
17.
18.
19.
Þ

SIMPLE INTEREST
2.
3.TO find the rate of interest per annum when a sum double/triple etc itself in x years.Then,
4.
5.
6.
7.
8.
9.
A > Amount 10.
11.
12.If I_{1}= I_{2},
13.
14.
15.
16.
17.
18.
19.
20.
a > Annual instalment. 21.

Subscribe to:
Posts (Atom)