Partnerships in Business

If the rate of dividend is $5\%$, find the income by purchasing $20$ shares of Rs. $50$ each at Rs. $50$ ?

Find the income derived from $88$ shares of $₹ 25$ each at $5$ premium, brokerage being $\frac{1}{4}$ per share and the rate of dividend being $7\frac{1}{2}\%$ per annum.

A, B and C invested ₹ $500$ , ₹  $630$ And ₹  $700$. If A gets ₹  $75$ As profit, what will C get ?

A and B enter into partnership. A supplies whole of the capital amounting to Rs. 45,000 with the condition that the profits are to be equally divided and that B pays A interest on half of the capital at 10% per annum but receives Rs. 120 per month for carrying on the concern. Find total yearly profit, when B's income is one half of A's income.

Find the number of shares that can be bought for $₹ 8200$ if the market value is $₹ 20$ each with brokerage being $2.5\%$.

X,Y,Z started a partnership business by investing Rs. 5,000 each. After 6 months 'Y' withdrew from the business and 'Z' added Rs. 5,000 to his investment. At the end of the year the total profit earned is Rs. 18,000. Find the share of 'Z' in the profit.

$25$ men and $15$ women can complete a piece of work in $12 \mathrm{days}$. All of them started working together and after working for $8 \mathrm{days}$ the women stop working. $25$ men completed the remaining work in $6 \mathrm{days}$. How many days will it take for completing the entire job if only $15$ women are put on the job?

A starts business with a capital of ₹ $1,400$. Five months later B joins and further two months later C joins them. What amount of capital is put in by B and C, if at the end of the year their shares of profit are as $4:3:2$ ?

$₹1200$ amounts to $₹1632$ in $4 \mathrm{years}$ at a certain rate of simple interest. If the rate of interest is increased by $1\%$, it would amount to how much?

$11$ friends went to a hotel and decided to pay the bill amount equally. But $10$ of them could pay $₹60$ each, as a result, $11th$ has to pay $₹50$ extra than his share. Find the amount paid by him.

A trader has three varieties of milk measuring $435$ litres, $493$ litres and $551$ litres. What is the minimum number of containers of equal size that are required, so that the whole of milk is filled in them without mixing?

Achal started a business investing $₹45000$. After $4$ months Kavi joined the business with $₹30000$. If the profit was $₹13000$ at the end of the year, what is the difference between the profit of Achal and Kavi?

A man invested $₹ 4455$ in $₹ 10$ shares quoted at $₹ 8.25$. If the rate of dividend be $12\%$, his annual income is _____.

Three men A, B and C subscribe $₹4,700$ for a business. A subscribes $₹700$ more than B and B subscribe $₹300$ more than C. How much will each receive out of the profit of $₹846$?

Water is flowing at the rate of $5 \mathrm{km}/\mathrm{h}$ through a pipe of diameter $14 \mathrm{cm}$ into a rectangular tank which is $50\mathrm{m}$ long and $44 \mathrm{m}$ wide. Determine the time in which the level of water in the tank will rise by $7 \mathrm{cm}$ (Take $\pi =\frac{22}{7}$)

$₹600$ are divided among A, B and C so that$₹40$  more than $\frac{2^{th}}{5}$ of A's share, $₹20$ more than $\frac{2^{th}}{7}$ of B's share and $₹10$ more than $\frac{9^{th}}{17}$ of C's share are all equal. A's share is______.

$\mathrm{A}$ can do a piece of work in $40 \mathrm{days}$. He starts working, but having some other engagements he drops out after $5 \mathrm{days}$. Thereafter, $\mathrm{B}$ completes this work in $21 \mathrm{days}$. How many days would  $\mathrm{A}$ and $\mathrm{B}$ take to complete this work working together$?$

$A$ started a business investing $₹250000$ in year $2008$. In year $2009$ he invested an additional amount of $₹100000$ and $B$ joined him with an amount of $₹350000$. In year $2010$, $A$ invested another additional amount of $₹100000$ and $C$ joined them with an amount of $₹350000$. What will be $B\text{'}s$ share in the profit of $₹1500000$ earned at the end of three years from the start of the business in $2008$?

A person borrows ₹ $5,000$ for $2$ years at $4\%$ per annum simple interest. He immediately lends it to another person at $6\frac{1}{4}$ per annum simple interest for $2$ years. His gain in the transaction is _____

Ravi and Raj invested in the ratio of $4:3$ in a business. If $16\%$ of the total profit goes to charity and Ravi's share of profit is $₹816$, what is the amount of total profit?