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Arithmetic: Ratio and Proportion Test-6

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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?
A
26,000
B
28, 000
C
21,000
D
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
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?
A
3: 7
B
7: 4
C
7: 3
D
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}$
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'?
A
Rs.80 lakhs
B
Rs.50 lakhs
C
Rs.40 lakhs
D
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
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?
A
2: 3: 3
B
4: 3: 2
C
13: 12: 12
D
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
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?
A
Rs.21450
B
Rs.24440
C
Rs.27635
D
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}$
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