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Arithmetic: Ratio and Proportion Test6
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Question 1 
Ratio of the earnings of A and B is 4 : 7 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25%, the new ratio of their earnings becomes 8 : 7 respectively what is A's earnings?
26,000  
28, 000  
21,000  
Data inadequate 
Question 1 Explanation:
Let the ratio of earnings be p
Earning of A=4p
Earning of B=7p
New earnings of A=1.5×4p=6p
New earning of B=.75×7p=5.25p
We have been given the new ratio but we have already found it so data inadequate
Earning of A=4p
Earning of B=7p
New earnings of A=1.5×4p=6p
New earning of B=.75×7p=5.25p
We have been given the new ratio but we have already found it so data inadequate
Question 2 
When a number is added to a second number, the sum is (1000/3)percent of the second number. What is the ratio between the first numbers to the second number?
3: 7  
7: 4  
7: 3  
Data inadequate

Question 2 Explanation:
Let the numbers be x and y
$ \begin{array}{l}x+y=\frac{1000}{3}\times \frac{1}{100}y\\3x+3y=10y\\\frac{x}{y}=\frac{7}{3}\end{array}$
$ \begin{array}{l}x+y=\frac{1000}{3}\times \frac{1}{100}y\\3x+3y=10y\\\frac{x}{y}=\frac{7}{3}\end{array}$
Question 3 
Income of two companies A and B are in the ratio of 5: 8. Had the income of company 'A' been more by Rs.25 lakhs, the ratio of their incomes would have been 5: 4 respectively. What is the income of company 'B'?
Rs.80 lakhs
 
Rs.50 lakhs  
Rs.40 lakhs  
Rs.60 lakhs 
Question 3 Explanation:
Let the ratio of income of x
Income of A=5x
Income of B=8x
(5x+25)/8x = 5/4
20x+100=40x
x=5
Income of company B is 8x=40
Income of A=5x
Income of B=8x
(5x+25)/8x = 5/4
20x+100=40x
x=5
Income of company B is 8x=40
Question 4 
A, B and C started a business with investment in the ratio 5: 6: 8 respectively. After one year C withdrew 50% of his capital and A increased his capital by 60% of his investment. After two years in what ratio should the earned profit be distributed among A, B and C respectively?
2: 3: 3  
4: 3: 2  
13: 12: 12  
Cannot be determined 
Question 4 Explanation:
Let the ratio of initial investment be x
As investment=5x
Bs investment=6x
Cs investment=8x
As 2nd year investment=1.6×5x=8x
Bs 2nd year investment=6x
Cs 2nd year investment=4x
So As total contribution=60x+96x=156x
Bs total contribution=72x+72x=144x
Cs total contribution=96x+48x=144x
So the ratio of profit is 13:12:12
As investment=5x
Bs investment=6x
Cs investment=8x
As 2nd year investment=1.6×5x=8x
Bs 2nd year investment=6x
Cs 2nd year investment=4x
So As total contribution=60x+96x=156x
Bs total contribution=72x+72x=144x
Cs total contribution=96x+48x=144x
So the ratio of profit is 13:12:12
Question 5 
Tanvi started a business investing Rs.45000. After 8 months Anisha joined her with a capital of Rs.52000. At the end of the year the total profit was Rs.56165. What is the share of profits of Anisha?
Rs.21450  
Rs.24440  
Rs.27635  
none 
Question 5 Explanation:
Contribution of Tanvi =45000×12=540000
Contribution of Anisha =52000×4=208000
Contribution of Anisha
$ \displaystyle \begin{array}{l}=\frac{208000}{208000+540000}\times 56165\\=\frac{208}{748}\times 56165=15618\end{array}$
Contribution of Anisha =52000×4=208000
Contribution of Anisha
$ \displaystyle \begin{array}{l}=\frac{208000}{208000+540000}\times 56165\\=\frac{208}{748}\times 56165=15618\end{array}$
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