Percentage , Simple Interest , Compound Interest 8

Question 1

If an amount becomes N times in T years then -

Answer 1

It becomes N raised to 2 in 2T yrs

It becomes N raised to x in xT years

Question 2

If T = 2 yrs then

Answer 2

SI - CI = P ( R/100 )sq

Question 3

VAT

Answer 3

Value added tax

Question 4

VAT =

Answer 4

Tax charged - tax paid

Question 5

Recurring Deposit Account (R.D. Account) ?

Answer 5

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.

Question 6

Computing total interest and total sum deposited in a recurring deposit

Answer 6

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

Total sum deposited = P x n

Question 7

1/6 in %

Answer 7

16.66 %

Question 8

1/7 in %

Answer 8

14.28 %

Question 9

1/9 in %

Answer 9

11.11 %

Question 10

1/11 in %

Answer 10

9.09 %

Question 11

1/12 in %

Answer 11

8.33 %

Question 12

1/13 in %

Answer 12

7.69 %

Question 13

1/14 in %

Answer 13

7.14 %

Question 14

1/15 in %

Answer 14

6.66%

Question 15

1/17 in %

Answer 15

5.88 %

Question 16

1/18 in %

Answer 16

5.55 %

Question 17

1/23 in %

Answer 17

4.34 %

Question 18

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

Answer 18

d

Question 19

Continued proportion

Answer 19

a : b : : c : d

Question 20

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

Answer 20

Third proportional

Question 21

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

Answer 21

(ace : bdf)

Question 22

Duplicated ratio of (a : b) is

Answer 22

(a sq : b sq)

Question 23

Triplicate ratio of (a : b)

Answer 23

(a³ : b³)

Question 24

Sub triplicate ratio of (a : b)

Answer 24

(∛a : ∛b)

Question 25

Componendo of a ratio a/b = c/d

Answer 25

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

Question 26

Dividendo of a ratio a/b = c/d

Answer 26

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

Question 27

What is the componendo-dividendo , if | a/b = c/d

Answer 27

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

Question 28

Original value of a share

Answer 28

Nominal value

Question 29

Ratio properties

Answer 29

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)

Question 30

Proofs of componendo and dividendo

Answer 30

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

Question 31

Proof of componendo and dividendo

Answer 31

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)

Question 32

1/19 in %

Answer 32

5.26%

Question 33

1/21 in %

Answer 33

4.76

Question 34

1/22 in %

Answer 34

4.54%

Question 35

1/23 in %

Answer 35

4.34%

Question 36

1/24 in %

Answer 36

4.16%

Question 37

Slump means

Answer 37

No of sales

Question 38

1/12 in %

Answer 38

8.33%

Question 39

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

Answer 39

{a ± b ± (a x b)/100}% +ve for increase and vice versa

Question 40

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

Answer 40

Antecedent , Consequent

Question 41

Alligation

Answer 41

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.

Question 42

Mean price

Answer 42

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

Question 43

Rule of Alligation :

Answer 43

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.

Question 44

Money invested in business

Answer 44

Capital

Question 45

Active partner or working partner

Answer 45

Partner who manages the business

Question 46

Sleeping partner

Answer 46

Partner who just invests money

Question 47

B is k times efficient than A means

Answer 47

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

Question 48

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

Answer 48

2uv/u+v (not important)

Question 49

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

Answer 49

Time taken to cover a metres

Question 50

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

Answer 50

1/2(a-b) km/hr

Question 51

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

Answer 51

1/2 (a+b)

Question 52

Time period vs Conversion period

Answer 52

Time period- period for which sum is borrowed | Conversion period - period of time at the end in which the interest is calculated

Question 53

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

Answer 53

A = P (1 + R/100)² (1 + (R/4)/100