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# Ask a Mathematics(Class IX-X Tuition) Question

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S

Sarala 11/11/2016 in  Mathematics(Class IX-X Tuition),

If (3a + 4b) / (3c + 4d) = (3a - 4b) / (3c - 4d), prove that a / b = c / d?

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Sachin replied | 27/11/2016

9a:8b=9c:8d (by compnendo and dividendo).

Mamata replied | 27/11/2016

(3a+4b)(3c-4d)=(3a-4b)(3c+4d)
a/b=c/d.

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V

Vathsala 11/11/2016 in  Mathematics(Class IX-X Tuition),

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20 % and 10 % respectively, what will be the new ratio?

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Rama Krishna replied | 08/12/2016

Let the number of boys = 7k
number of girls = 8k

Due to increase in percentage,

number of boys = 7K*120/100

number of girls = 8K*110/100

New ratio = { 7K*120/100 } : { 8K*110/100 }
Or
7:8 can also be written as 70:80
120/100*70 = 84
110/100*80 = 88
so,new ratio= 84 : 88
or 42 : 44
or 21 : 22
Or
(7x+0.2*7x)/(8x+0.1*8x)=21...  more»
Let the number of boys = 7k
number of girls = 8k

Due to increase in percentage,

number of boys = 7K*120/100

number of girls = 8K*110/100

New ratio = { 7K*120/100 } : { 8K*110/100 }
Or
7:8 can also be written as 70:80
120/100*70 = 84
110/100*80 = 88
so,new ratio= 84 : 88
or 42 : 44
or 21 : 22
Or
(7x+0.2*7x)/(8x+0.1*8x)=21:22. «less

Ankit replied | 09/12/2016

21/22

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M

Manjunath 11/11/2016 in  Mathematics(Class IX-X Tuition),

What is the difference between equity share and preference share?

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Rama Krishna replied | 08/12/2016

Dear Student,
Definition of Equity Shares:
Equity shares are the ordinary shares of the company. The holder of the equity shares are the real owners of the company, i.e. the amount of shares held by them is the portion of their ownership in the company.

Definition of Preference Shares:
Preference Shares, as its name suggests, gets precedence over equity shares...  more»
Dear Student,
Definition of Equity Shares:
Equity shares are the ordinary shares of the company. The holder of the equity shares are the real owners of the company, i.e. the amount of shares held by them is the portion of their ownership in the company.

Definition of Preference Shares:
Preference Shares, as its name suggests, gets precedence over equity shares on the matters like distribution of dividend at a fixed rate and repayment of capital in the event of liquidation of the company. «less

Jyoti replied | 09/12/2016

1. As far as dividend and refund of capital in case of winding up is concerned it is the preference shareholders who get paid before the equity shareholders.
2. In case of preference shares rate of dividend is fixed while equity shareholders get dividend on the basis of performance of company, sometimes when company make loss then they are not paid any dividend.

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D

Deepak 11/11/2016 in  Mathematics(Class IX-X Tuition),

Define debenture?

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Aparna replied | 06/12/2016

A long-term security yielding a fixed rate of interest, issued by a company and secured against assets.

Barkha replied | 07/12/2016

A debenture is a medium to long-term debt instrument used by large companies to borrow money, at a fixed rate of interest.

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R

Rasneet 11/11/2016 in  Mathematics(Class IX-X Tuition),

What do you mean by senssex up and sensex down?

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P

Priti replied | 19/11/2016

Sensex is an index of the stocks in BSE (Bombay Stock Exchange). Sensex has a list of 30 stocks. BSE decides the stocks that are to be listed on Sensex. The criteria for picking a stock to be listed on Sensex is volume of the trade of that stock and total volume of the stock in BSE
So if SENSEX moves up it means majority of 30 companies are performing well this further implies...  more»
Sensex is an index of the stocks in BSE (Bombay Stock Exchange). Sensex has a list of 30 stocks. BSE decides the stocks that are to be listed on Sensex. The criteria for picking a stock to be listed on Sensex is volume of the trade of that stock and total volume of the stock in BSE
So if SENSEX moves up it means majority of 30 companies are performing well this further implies that majority of companies listed on BSE which are actively traded are performing well.
And if SENSEX moves down it implies majority of companies didn't performed well that trading day. «less

Minita replied | 21/11/2016

Sensex up nd sensex down means increase or decrease in market price of shares of Bombay stock exchange

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P

Praneeth 11/11/2016 in  Mathematics(Class IX-X Tuition),

What must be added to each of 7, 16, 43 and 79 so that they become proportion? Find the number, which are in the proportion?

Ram Mohan replied | 21/11/2016

Let us suppose, that we have to add 'x', to each of 17,16,43,and 79 so that they are in proportion
Therefore, ( 7 + x ) : (16 + x ) : : ( 43 + x ) : ( 79 + x ), ==> ( 16 + x ) (43 + x ) = (7 + x ) ( 79 + x )
after simplification and solving for ' x' , we get x = 5 .
Verification :
After adding '5' to the given numbers, we get 12, 21, 48, 84 which satisfy 12 :...  more»
Let us suppose, that we have to add 'x', to each of 17,16,43,and 79 so that they are in proportion
Therefore, ( 7 + x ) : (16 + x ) : : ( 43 + x ) : ( 79 + x ), ==> ( 16 + x ) (43 + x ) = (7 + x ) ( 79 + x )
after simplification and solving for ' x' , we get x = 5 .
Verification :
After adding '5' to the given numbers, we get 12, 21, 48, 84 which satisfy 12 : 21 : : 48 : 84 OR 4 : 7 : : 4 : 7 «less

Sarvajeet replied | 06/12/2016

5.

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K

Kirti 11/11/2016 in  Mathematics(Class IX-X Tuition),

What number should be subtracted from each of the numbers 23, 30, 57 and 78, so that the remainders are in the proportion?

Sarvajeet replied | 06/12/2016

6.

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A

Abraham 11/11/2016 in  Mathematics(Class IX-X Tuition),

If x : y : z, show that x : z = (square of x) : (square of y)?

Shambhavi replied | 07/12/2016

As we know that , x:y:z , this implies that, y^2=x*z.
Simplifying x:z=x^2:y^2, we get, y^2=x*z, which is the same as above. Thus, they are equal.

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H

Hemlata 11/11/2016 in  Mathematics(Class IX-X Tuition),

The work done by (x - 3) men in (2x + 1) days and the work done by (2x + 1) men in (x + 4) days are in the ratio of 3 : 10. Find the value of x?

Tapas replied | 27/11/2016

Let the amount of work done by 1 man in 1 day is w.
Then the work done by (x - 3) men in (2x + 1) days = (x - 3)(2x + 1)w.
And the work done by (2x + 1) men in (x + 4) days = (2x + 1)(x + 4)w.
By the given condition,
[(x - 3)(2x + 1)w] / [ (2x + 1)(x + 4)w] = 3 : 10
Simplifying:
(x - 3) / (x + 4) = 3 / 10 --> 10x - 30=3x + 12 --> 10x - 3x=30 + 12 -->...  more»
Let the amount of work done by 1 man in 1 day is w.
Then the work done by (x - 3) men in (2x + 1) days = (x - 3)(2x + 1)w.
And the work done by (2x + 1) men in (x + 4) days = (2x + 1)(x + 4)w.
By the given condition,
[(x - 3)(2x + 1)w] / [ (2x + 1)(x + 4)w] = 3 : 10
Simplifying:
(x - 3) / (x + 4) = 3 / 10 --> 10x - 30=3x + 12 --> 10x - 3x=30 + 12 --> 7x=42 --> x = 42/7 = 6

Saurabh replied | 04/12/2016

Always remember a formula for these type of questions where work no. of men and no. of days /working hours are given:-
lhs = rhs
m1 * d1* t1 / work done 1 = m2* d2* t2 / work done 2 here * = multiply and / = divide. m=men d= days
As work done ratio by...  more»
Always remember a formula for these type of questions where work no. of men and no. of days /working hours are given:-
lhs = rhs
m1 * d1* t1 / work done 1 = m2* d2* t2 / work done 2 here * = multiply and / = divide. m=men d= days
As work done ratio by 1 to 2 is 3:10 just put the value (x-3)*(2x+1) /3 = (2x+1)*(x+4) /10.
on solving 10x-30= 3x+12,
7x=42
Therefore x=6. «less

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R

Rosary 11/11/2016 in  Mathematics(Class IX-X Tuition),

Ajay owns 540 shares of a company. The face value of each share is Rs. 25. The company declares a dividend of 9%. Calculate the dividend that Ajay will get?

S

Soumajit Sur replied | 25/11/2016

Amount of dividend receivable will be = 540 * (25 * 9%) = Rs. 1215.

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M

Malvika 11/11/2016 in  Mathematics(Class IX-X Tuition),

A man invested Rs 20020 in shares of par value Rs 26 at 10% premium. The dividend is 15% per annum. Calculate the number of shares?

Megha replied | 19/11/2016

20020 / 28.6 = 700 shares

Megha replied | 19/11/2016

Rs. 700 shares.

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M

Monica 11/11/2016 in  Mathematics(Class IX-X Tuition),

A man invest Rs 8800 on buying shares of face value of rupees hundred each at a premium of 10% at the end of year as dividend, find the number of shares he has in the company?

Mohamed Fatin replied | 08/12/2016

8800/110= 80 shares.

S

Sandeep replied | 08/12/2016

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K

Krishna 11/11/2016 in  Mathematics(Class IX-X Tuition),

Define promoters?

Let's keep it very simple.
A company is a separate identity to start this you need somebody to take some initiative. The somebody who takes initiative to start the company is called a promoter.
The companies act has not defined a promoter.
The best definition which I like Lord Blackburn
states that the term promoter is a short and convenient way of designating those...  more»
Let's keep it very simple.
A company is a separate identity to start this you need somebody to take some initiative. The somebody who takes initiative to start the company is called a promoter.
The companies act has not defined a promoter.
The best definition which I like Lord Blackburn
states that “the term promoter is a short and convenient way of designating those who set in motion the machinery by which the Act enables them to create an incorporated company”.
A promoter may be an individual, a firm, and an association of persons or even a company. «less

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S

Saravana 11/11/2016 in  Mathematics(Class IX-X Tuition),

What do you mean by share and dividend?

Khushbu replied | 01/12/2016

A share is an indivisible unit of capital expressing the ownership relationship between the company and shareholder. A dividend is a payment made by corporation to its shareholder, usually as a distribution of profits.

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M

Manisha 11/11/2016 in  Mathematics(Class IX-X Tuition),

Define shareholder?

Nitish replied | 28/11/2016

A shareholder is any person, company or other institution that owns at least one share of a company's stock.

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A

Aparna 11/11/2016 in  Mathematics(Class IX-X Tuition),

What are the benefits of holding shares?

Narendra replied | 22/11/2016

If share price will increase it will give you profit.

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M

Murugan 11/11/2016 in  Mathematics(Class IX-X Tuition),

What is the difference between cumulative and non - cumulative share?

S

Saurabh replied | 01/12/2016

A term sheet may refer to dividends as being either cumulative or non-cumulative. The key difference is that if the dividend is non-cumulative and the company (through its board) doesn't make a decision to issue a dividend in year one, or doesn't have the cash resources to do so, the next year the divident slate is wiped clean and the company has no obligation to 'catch up' on...  more»
A term sheet may refer to dividends as being either cumulative or non-cumulative. The key difference is that if the dividend is non-cumulative and the company (through its board) doesn't make a decision to issue a dividend in year one, or doesn't have the cash resources to do so, the next year the divident slate is wiped clean and the company has no obligation to 'catch up' on the issuance of dividends for previous years.
What this means is that if the dividend is not issued in year one and a dividend were to be issued in the next year, the company would not be obligated to issue dividends cumulatively or retroactively for previous years in which the company was unable to issue a dividend.
This can also have an effect on the sale of the company. A cumulative dividend clause will trigger a payout to preference shareholders that includes what they would have been paid by way of dividend for all those years they never received one and this payment would rank before any sharing of the exit rupees with ordinary shareholders. «less

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P

Pradeep 11/11/2016 in  Mathematics(Class IX-X Tuition),

Define share market?

It is a place where shares of public listed companies are traded. The primary market is where companies float shares to the general public in an initial public offering (IPO) to raise capital.

Chandan replied | 05/12/2016

A highly organized market facilitating the purchase and sale of securities and operated by professional stockbrokers and market makers according to fixed rules.

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S

Sandeep 11/11/2016 in  Mathematics(Class IX-X Tuition),

What is the difference between market value and face value?

Minita replied | 21/11/2016

Market value is the price at which shares can be purchased or sold in the market. It keeps on fluctuating.face value is the fixed/nominal value of each share.

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R

Reshma 11/11/2016 in  Mathematics(Class IX-X Tuition),

Define share brokers and brokerage?

Shambhavi replied | 07/12/2016

A stockbroker is a regulated professional individual, usually associated with a brokerage firm or broker-dealer, who buys and sells stocks and other securities for both retail and institutional clients through a stock exchange such as NIFTY and SENSEX, or over the counter in return for a fee or commission.The fee/commission charged by the broker is called the brokerage.

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S

Suresh 11/11/2016 in  Mathematics(Class IX-X Tuition),

What do you mean by stock?

A

Ashwini replied | 26/11/2016

Current asset.

Nitish replied | 28/11/2016

A stock is a general term used to describe the ownership certificates of any company. A share, on the other hand, refers to the stock certificate of a particular company. Holding a particular company's share makes you a shareholder.

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T

Tushar 11/11/2016 in  Mathematics(Class IX-X Tuition),

What is the difference between stock and share?

Minita replied | 21/11/2016

Stocks are fully paid shares consolidated to larger units whereas shares are single units of capital of a firm which may or may not be fully paidup

Rachna replied | 21/11/2016

"Stock" is a general term used to describe the ownership certificates of any company, in general, and "shares" refers to a the ownership certificates of a particular company. So, if investors say they own stocks, they are generally referring to their overall ownership in one or more companies.

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S

Suman 11/11/2016 in  Mathematics(Class IX-X Tuition),

What is the difference between sensex up and sensex down?

Nitish replied | 28/11/2016

Around 50000 companies are listed on BSE, it comprises of small cap, mid cap and large cap companies.
The 30 stocks are selected in a way that it represents the overall market condition.
So if SENSEX moves up it means majority of 30 companies are performing well this further implies that majority of companies listed on BSE which are actively traded are performing well.
And...  more»
Around 50000 companies are listed on BSE, it comprises of small cap, mid cap and large cap companies.
The 30 stocks are selected in a way that it represents the overall market condition.
So if SENSEX moves up it means majority of 30 companies are performing well this further implies that majority of companies listed on BSE which are actively traded are performing well.
And if SENSEX moves down it implies majority of companies didn't performed well that trading day.
The UPs and DOWNs are tracked by Standard & Poor's Hence the name S&P BSE SENSEX. «less

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K

Kaushal 11/11/2016 in  Mathematics(Class IX-X Tuition),

Find the dividend due at the end of a year on 250 shares of Rs 50 each, if the half yearly dividend is 4% of the value of the sharee?

Megha replied | 19/11/2016

Dividend to be paid at end of the year for 6 months is 250×50×4%= 500

Megha replied | 19/11/2016

Half yearly dividend is Rs. 500. Paid at the end for 12 months is Rs. 1000

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M

Manchala 11/11/2016 in  Mathematics(Class IX-X Tuition),

A dividend of 9% was declared on Rs 100 shares selling at a certain price. If the rate of return is 7%, calculate the market value of the share?

S

Soumajit Sur replied | 23/11/2016

The Market Value of the Share is to be calculated this way [9/0.07].
That is Rs. 128.57 per share.

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