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Q:

Two partners investede Rs. 1250 and Rs. 850 respectively in a business. They distributed 60% of the profit equally and decide to distribute the remaining 40% as the ratio of their capitals. If one partner received Rs. 30 more than the other, find the total profit?

Answer

Let the total profit be Rs.x


60% of the profit = \inline \frac{60}{100}\times x=Rs.\frac{3x}{5}


from  this part of the profit each gets = Rs.\inline \frac{3x}{10}


40% of the profit = \inline \frac{40}{100}\times x=Rs.\frac{2x}{5}


Now, this amount of Rs.\inline \frac{2x}{5} has been divided in the ratio of capitals 1250 : 850 = 25 :17


\inline \therefore Share on first capital = \inline (\frac{2x}{5}\times \frac{25}{42})=Rs.\frac{5x}{21}


Share on second capital = \inline (\frac{2x}{5}\times \frac{17}{42})=Rs.\frac{17x}{105}


Total money received by 1st investor = \inline [\frac{3x}{10}+\frac{5x}{21}]= Rs.\frac{113x}{210}


Total money received by 2nd investor = \inline [\frac{113x}{210}+\frac{97x}{210}]=Rs.\frac{97x}{210}


\inline \therefore x = 393.75


Hence total profit = Rs. 393.75

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Subject: Partnership

Q:

A is a working and B is sleeping partners in a business. A puts in Rs. 5000 and B puts in Rs.6000. A receives % of the profit for managing the business and the rest is divided in proportion to their capital. What does each get out of a profit of Rs. 880?

Answer

Total profit = Rs. 880


A's share for managing the business i.e 


\inline 12\frac{1}{2} %  =  \inline \frac{25\times 880}{200}=Rs.110


Remaining profit of A and B as per their capital = 880 - 110 = Rs. 770


Ratio of amounts = 5000 : 6000 = 5 : 6


Sum of ratios = 5 + 6 = 11


A's share = \inline 770\times \frac{5}{11}= Rs.350


A's total share = 350 + 110 = Rs. 460


B's share = \inline 770\times \frac{6}{11}=Rs.420

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Subject: Partnership

Q:

The ratio of investments of two partners is 11:12 and the ratio of their profits is 2 : 3. If A invested the money for 8 months , find for how much time B invested his money.

Answer

Suppose A invested Rs.11 for 8 months and B invested Rs. 12 for x months.


\inline \therefore Ratio of investments of A and B


                  = (11 x 8) : (12 x x)


                  = 88 : 12x 


\inline \therefore \inline \frac{88}{12x}=\frac{2}{3}\Rightarrow x=11

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Subject: Partnership

Q:

A and B enter into partnership. A supplies whole of the capital amounting to Rs. 45000 with the condition that the profits 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 their total yearly profit when B's income is one half of A's income.

Answer

Let the total profit be Rs. x


Amount paid to B as salary = (120 x 12)


                                       = Rs.1440


Share of each = \inline (\frac{x-1440}{2})


Interest paid by B = \inline \frac{22500\times 10}{100}=Rs.2250


Total money received by  A = \inline \frac{x-1440}{2}+2250


                                       = Rs.\inline (\frac{x+3060}{2})


Total money received by B


\inline [(\frac{x-1440}{2})+1440-2250]= (\frac{x-3060}{2})


\inline \Rightarrow \frac{1}{2}-(\frac{x+3060}{2})-(\frac{x-3060}{2})


\inline \Rightarrow x=9180 

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Subject: Partnership

Q:

Three graziers A,B and C rent a piece of pasture for a month. A puts in 27 cattle for 19 days, B 21 for 17 days and C 24 for 23 days. If at the end of the month the rent amount to Rs.237, how much ought to be paid by each.

Answer

A's cattle = 27 x 19 = 513


B's cattle = 21 x 17 = 357


C's cattle = 24 x 23 = 552


Ratio of cattle = 513 : 357 : 552


                    = 171 : 119 : 184


 


payment to be made by A = \inline 237\times \frac{171}{474}


                                     = Rs.85.50


payment to be made by B = \inline 237\times \frac{119}{474}


                                     = Rs.59.50


payment to be made by C = \inline 237\times \frac{184}{474}


                                     = Rs.92

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Subject: Partnership

Q:

The tax on an article decreases by 10% and its consumption increases by 10%. Find the effect percent on its revenue?

Answer

-10+10-10*10100  % = -1%


 


\inline \therefore Decrease in revenue = 1%

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Subject: Percentage Exam Prep: Bank Exams

Q:

In an election, there were two candidates only. The candidate who got 62% of the total votes polled and was elected by a majority of 192 votes. The total number of votes polled was?

Answer

Suppose total votes polled is x


\inline \Rightarrow \inline \frac{62x}{100}=\frac{38x}{100}+192


\inline \Rightarrow \frac{62x}{100}-\frac{38x}{100}=192


\inline \Rightarrow \frac{24x}{100}=192\Rightarrow x=800

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Subject: Percentage

Q:

If x is 90% of Y, what percent of x is y?

Answer

x = 90% of y = \inline \frac{9}{10}y


 


\inline \therefore \frac{x}{y}=\frac{9}{10}\Rightarrow \frac{y}{x}=\frac{10}{9} 


=> y = 1.1% of x.

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Subject: Percentage