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Directions (1– 5): Study the following information carefully and answer the given questions:
Following table shows the 4 different persons invested the principle amount, total amount and rate of interest and the total number of years they are invested the principle amount and the compound interest for the total investment. (Some values are missing)
1) If the interest received by P is Rs. 9270, then find the rate of interest for the principle amount invested by P?
- 6 %
- 5 %
- 8 %
- 7 %
- None of these
2) If the total amount received by R is Rs. 73205 and the ratio of the sum invested by P and R is 3: 2, then find the number of years the principle amount invested by R?
- 2 years
- 3 years
- 5 years
- 4 years
- None of these
3) If the total amount received by R after investing the principle amount for 4 years is Rs. 92238.30, then find the principle amount invested by R?
- Rs. 59000
- Rs. 63000
- Rs. 65000
- Rs. 56000
- None of these
4) If the ratio of the sum invested by P and S is 5: 6, then find the rate of interest for the principle amount invested by S?
- 5 %
- 10 %
- 8 %
- 6 %
- None of these
5) If the sum invested by Q is 80 % of the sum invested by P, then find the number of years Q invested the sum?
- 2 years
- 4 years
- 3 years
- Can’t be determined
- None of these
Directions (6 – 10) Study the following information carefully and answer the given questions:
Following table shows the percentage distribution of expenses of four departments in 4 different years.
Total expenses of these 4 departments
In the year 2012 = 60 lakhs
In the year 2013 = 68 lakhs
In the year 2014 = 72 lakhs
In the year 2015 = 75 lakhs
Note:
Profit = Income – Expense
Profit % = (Profit/Expense)*100
6) If the profit % of Finance department in the year 2012 is 20 %, then find the total income of finance department in the year 2012?
- 15.2 lakhs
- 14.4 lakhs
- 13.8 lakhs
- 16.4 lakhs
- None of these
7) Find the difference between the total profit earned by marketing department in the year 2013 to that of total expenses of R & D department in the year 2014 and 2015 together, if the profit % of marketing department in the year 2013 is 15 %?
- 2895000
- 2913000
- 3056000
- 3117000
- None of these
8) Find the average expenses of agriculture in all the given years together?
- 1816500
- 1578200
- 1649400
- 1752600
- None of these
9) If the profit earned by marketing department and R & D department in the year 2014 and 2015 respectively is 4.5 lakhs and 3 lakhs, then find the profit % of marketing department is what percentage of profit % of R & D department?
- 110 %
- 135 %
- 125 %
- 100 %
- 90 %
10) Find the ratio between the total expenses of marketing and agriculture department in the year 2012 to that of total expenses of agriculture department in the year 2014?
- 125: 54
- 112: 73
- 96: 65
- 88: 47
- None of these
Answers:
1). Answer: a)
Compound Interest = Rs. 9270
Total amount = 75000 + 9270 = Rs. 84270
Number of years (n) = 2
Total amount = P*(1 + (r/100))n
84270 = 75000*(1 + (r/100))2
(84270/75000) = [(100 + r)/100]2
(2809/2500) = [(100 + r)/100]2
(53/50)2 = [(100 + r)/100]2
(53/50) = [(100 + r)/100]
106 = 100 + r
r = 6 %
2). Answer: d)
Total amount = Rs. 73205
Ratio of the sum invested by P and R = 3: 2 (3x, 2x)
3x = 75000
X = 25000
Principle amount invested by R = 2x = Rs. 50000
Total amount = P*(1 + (r/100))n
73205 = 50000*[110/100]n
73205/50000 = [11/10]n
14641/10000 = [11/10]n
(11/10)4 = [11/10]n
n = 4
Number of years = 4 years
3). Answer: b)
Total amount = Rs. 92238.30
Total amount = P*(1 + (r/100))n
92238.30 = P*(1 + (10/100))4
92238.30 = P*(110/100)4
92238.30 = P*(11/10)4
P = 92238.30*(10000/14641)
P = Rs. 63000
4). Answer: c)
The ratio of the sum invested by P and S = 5: 6 (5x, 6x)
5x = 75000
X = 15000
The principle amount invested by S = 6x = Rs. 90000
Total amount = Rs. 104976
Total amount = P*(1 + (r/100))n
104976 = 90000*[(100 + r)/100]2
(104976/90000) = [(100 + r)/100]2
(729/625) = [(100 + r)/100]2
(27/25)2 = [(100 + r)/100]2
27/25 = [(100 + r)/100]
108 = 100 + r
r = 8 %
Rate of interest = 8 %
5). Answer: c)
Principle amount invested by Q = (80/100)*75000
= > Rs. 60000
Compound interest = Rs. 9457.50
Total amount = 60000 + 9457.50 = Rs. 69457.50
Total amount = P*(1 + (r/100))n
69457.50 = 60000*(1 + (5/100))n
(69457.50/60000) = (105/100)n
(694575/600000) = (21/20)n
9261/8000 = (21/20)n
(21/20)3 = (21/20)n
n = 3
Number of years = 3 years
Direction (6-10)
6). Answer: b)
Total expenses of 4 departments in the year 2012 = 60 lakhs
Total expenses of finance department in the year 2012
= > 60*(20/100) = 12 lakhs
Profit % = 20 %
Total income of finance department in the year 2012
= > Income = 12*(120/100)
= > Income = 14.4 lakhs
7). Answer: d)
The total profit earned by marketing department in the year 2013
Expense of marketing in the year 2013 = 68*(25/100) = 17 lakhs
Income of marketing in the year 2013 = 17*(115/100) = 19.55 lakhs
Profit = 2.55 lakhs
Total expenses of R & D department in the year 2014 and 2015 together
= > 72*(26/100) + 75*(20/100)
= > 18.72 + 15 = 33.72 lakhs
Required difference = 33.72 – 2.55 = 31.17 lakhs = 3117000
8). Answer: a)
The total expenses of agriculture in all the given years together
= > 60*(28/100) + 68*(30/100) + 72*(18/100) + 75*(30/100)
= > 16.8 + 20.4 + 12.96 + 22.5
= > 72.66 lakhs
Required average = 72.66/4 = 18.165 lakhs = 1816500
9). Answer: c)
The profit earned by marketing department the year 2014 = 4.5 lakhs
Expense of marketing department the year 2014 = 72*(25/100) = 18 lakhs
Profit % of marketing department the year 2014 = (4.5/18)*100 = 25 %
The profit earned by R & D department the year 2015 = 3 lakhs
Expense of R & D department the year 2015 = 75*(20/100) = 15 lakhs
Profit % of R & D department the year 2015 = (3/15)*100 = 20 %
Required % = (25/20)*100 = 125 %
10). Answer: a)
The total expenses of marketing and agriculture department in the year 2012
= > 60*(50/100) = 30 lakhs
The total expenses of agriculture department in the year 2014
= > 72*(18/100) = 12.96 lakhs
Required ratio = 30: 12.96 = 3000: 1296 = 125: 54
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