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Maths > Percentage , Simple Interest , Compound Interest 8 > Flashcards

Percentage , Simple Interest , Compound Interest 8 Flashcards

1
Q

If an amount becomes N times in T years then -

A

It becomes N raised to 2 in 2T yrs

It becomes N raised to x in xT years

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2
Q

If T = 2 yrs then

A

SI - CI = P ( R/100 )sq

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3
Q

VAT

A

Value added tax

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4
Q

VAT =

A

Tax charged - tax paid

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5
Q

Recurring Deposit Account (R.D. Account) ?

A

A specific amount is determined by the depositor , which would be paid every month for a fixed period of time. At the end of the fixed time , a huge sum is given to the depositor (called Maturity value). The deposit is compounded quarterly at a fixed rate.

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6
Q

Computing total interest and total sum deposited in a recurring deposit

A

I = P x n(n+1)/2 x 12 x r/100

Total sum deposited = P x n

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7
Q

1/6 in %

A

16.66 %

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8
Q

1/7 in %

A

14.28 %

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9
Q

1/9 in %

A

11.11 %

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10
Q

1/11 in %

A

9.09 %

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11
Q

1/12 in %

A

8.33 %

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12
Q

1/13 in %

A

7.69 %

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13
Q

1/14 in %

A

7.14 %

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14
Q

1/15 in %

A

6.66%

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15
Q

1/17 in %

A

5.88 %

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16
Q

1/18 in %

A

5.55 %

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17
Q

1/23 in %

A

4.34 %

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18
Q

If a : b : : c : d ; then the fourth proportional to a,b,c is

A

d

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19
Q

Continued proportion

A

a : b : : c : d

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20
Q

If a : b : : b : c ; then c is the ……. to a and b

A

Third proportional

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21
Q

Compounded ratio of (a : b) , (c : d) , (e : f) is

A

(ace : bdf)

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22
Q

Duplicated ratio of (a : b) is

A

(a sq : b sq)

23
Q

Triplicate ratio of (a : b)

A

(a³ : b³)

24
Q

Sub triplicate ratio of (a : b)

A

(∛a : ∛b)

25
Q

Componendo of a ratio a/b = c/d

A

(a +b)/ b = (c + d)/ d

26
Q

Dividendo of a ratio a/b = c/d

A

(a - b)/ b = (c - d)/ d

27
Q

What is the componendo-dividendo , if

a/b = c/d

A

(a+b) / (a-b) = (c+d) / (c-d)

28
Q

Original value of a share

A

Nominal value

29
Q

Ratio properties

A

Alterando - a/c = b/d

Invertendo - b/a = d/c

Componendo - (a+b)/b = (c+d)/d

Dividendo - (a-b)/b = (c-d)/d

Componendo et Dividendo -
(a+b)/(a-b) = (c+d)/(c-d)

30
Q

Proofs of componendo and dividendo

A

a/b = c/d = k

a/b + 1 = c/d + 1
= (a+b)/b = (c+d)/d

a/b - 1 = c/d - 1
= (a-b)/b = (c-d)/d

31
Q

Proof of componendo and dividendo

A

a/b = c/d = k
So a = bk and c = dk

(a+b)/(a-b) = (bk+b)/(bk-b)
= (k+1)/(k-1)

(c+d)/(c-d) = (dk+d)/(dk-d)
= (k+1)/(k-1)

32
Q

1/19 in %

A

5.26%

33
Q

1/21 in %

A

4.76

34
Q

1/22 in %

A

4.54%

35
Q

1/23 in %

A

4.34%

36
Q

1/24 in %

A

4.16%

37
Q

Slump means

A

No of sales

38
Q

1/12 in %

A

8.33%

39
Q

For a rectangles : If length is increased by a% and breadth by b% , what is the percentage change in area

A

{a ± b ± (a x b)/100}%

+ve for increase and vice versa

40
Q

In a ratio first term is called …… while second term is called …….

A

Antecedent , Consequent

41
Q

Alligation

A

Rule that enables us to find the ratio in which 2 or more quantities at the given price be mixed to produce a mixture of a desired price.

42
Q

Mean price

A

Cost of a unit quantity of mixture is called the mean price.

43
Q

Rule of Alligation :

A

If 2 ingredients are mixed :

Qty of cheaper/Qty of dearer =

C.P of dear - M.P/ M.P - S.P of cheap

M.P stands for : mean price of that mixture.

44
Q

Money invested in business

A

Capital

45
Q

Active partner or working partner

A

Partner who manages the business

46
Q

Sleeping partner

A

Partner who just invests money

47
Q

B is k times efficient than A means

A

If A takes x days to complete a task , then b takes x/k days to do it

48
Q

A certain distance is covered from A to B at u km/hr and the same distance from B to A in v km/hr. Then avg speed is equal to

A

2uv/u+v (not important)

49
Q

Time taken by train of a meters to pass a pole or a standing man :

A

Time taken to cover a metres

50
Q

a - speed down streams
b - speed down streams
Then rate of stream

A

1/2(a-b) km/hr

51
Q

a - speed down streams
b - speed down streams
Then speed of boat in still waters

A

1/2 (a+b)

52
Q

Time period vs Conversion period

A

Time period- period for which sum is borrowed

Conversion period - period of time at the end in which the interest is calculated

53
Q

If interest is compounded annually and time is a fraction then compound interest is

A

A = P (1 + R/100)² (1 + (R/4)/100

Maths (21 decks)

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