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1) Respective ratio of the incomes of Devas and Kajal is 7: 6 and the respective ratio of their expenditures is 5: 4. Devas saves Rs.26000 and Kajal saves Rs.24000. Malti saves Rs.22000 and her expenditure is Rs.2000 more than the expenditure of Devas. Find the difference between the incomes of Malti and Kajal.
A.Rs.6000
B.Rs.8000
C.Rs.10000
D.Rs.4000
E.None of these
2) In company A, 40% of the total employees are male and 80% of the female employees working in IT department. Out of 60% of the total employees are working in IT department. If the total employee in company A is 3200, then find the number of male employees from IT department?
A.384
B.378
C.372
D.368
E.None of these
3) 20% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 56% of the valid votes and won by a majority of 1728 votes. The number of voters enrolled on the voters list was?
A.24000
B.22000
C.18000
D.20000
E.None of these
4) In a class, out of 40% of the students are boys. 75% of the girls are passed in the examination. If the total number of students in the class is 60 and the out of 70% of the students are passed the examination in the class, find the total number of boys passed in the class?
A.10
B.15
C.20
D.25
E.None of these
5) A certain number of employees in the company, which has two departments IT and HR. 70% of the IT department employees are 50 more than that of the 60% of the HR department employees. 80% of the HR department employees is 80 more than 40% of the IT department employee. What is the number of IT department employees in the company?
A.275
B.265
C.245
D.Cannot be determined
E.None of these
6) A fruit seller had some oranges and apples. He sold 20% oranges to A, 40% of remaining to B and had 48 oranges left. Similarly, he sold 40% apples to A, 100 apples to B and had 10% apples left. Find the total number of apples and oranges that the shopkeeper had initially.
A.200
B.250
C.300
D.350
E.400
7) In class of 80 students and 5 teachers, each student got sweets that are 15% of the total number of students and each teacher got sweets that are 20% of the total number of students. How many sweets were there?
A.1030
B.1050
C.1040
D.1020
E.None of these
8) The value of the machine depreciated every year by 13%. If the value of the machine is 260000, find the value of the machine after 2 years.
A.195794
B.197794
C.331994
D.196794
E.None of these
9) The total income of Saara and Vinay is Rs. 55000. If the income of Saara and Vinay is increased by 15 % and 12 % respectively, then the total income of both of them is increased by Rs. 7200. Find the income of Saara?
A.Rs. 20000
B.Rs. 25000
C.Rs. 28000
D.Rs. 23000
E.None of these
10) Manvi spends 15 % of her monthly salary on food, 20 % on housing rent and 13 % on her children’s education. Of the remaining salary, he spends 30 % on her groceries and 15 % on other expenses. Now she is left with Rs. 8580. Find her annual salary.
A.Rs. 384000
B.Rs. 360000
C.Rs. 396000
D.Rs. 420000
E.None of these
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Answers :
1) Answer: A
Let, incomes of Devas and Kajal are Rs.7k and Rs.6k respectively.
(7k – 26000)/(6k – 24000) = 5/4
=> 28k – 104000 = 30k – 120000
=> 30k – 28k = 120000 – 104000
=> 2k = 16000
=> k = 16000/2
=> k = 8000
Income of Devas = 7 x 8000 = Rs.56000
Income of Kajal = 6 x 8000 = Rs.48000
Expenditure of Devas = 56000 – 26000 = Rs.30000
Expenditure of Malti = 30000 + 2000 = Rs.32000
Income of Malti = 32000 + 22000 = Rs.54000
Required difference = 54000 – 48000 = Rs.6000
2) Answer: A
Total male = 40/100 * 3200 = 1280
Total female = 60/100 * 3200 = 1920
Total number of employees from IT department = 60/100 * 3200 = 1920
Number of female employees from IT department = 1920 * 80/100 = 1536
Number of male employees from IT department = 1920 – 1536 = 384
3) Answer: D
The successful candidate got 56% of the valid votes and won by a majority of 1728 votes.
(56 % – 44 %) of votes = 1728
12 % of votes = 1728
According to the question,
20 % voters didn’t cast their votes and 10 % of the votes are invalid. So,
= > (80/100)*(90/100)* total voters = 1728*(100/12)
= > Total voters = (1728*10*10*100) / (8*9*12) = 20000
4) Answer: B
Total boys in the class = 60 * 40/100 = 24
Total girls in the class = 60 * 60/100 = 36
Number of girls passed the examination = 36 * 75/100 = 27
Total number of students passed the examination = 60 * 70/100 = 42
Number of boys passed the examination = 42 – 27 = 15
5) Answer: A
Total number of employees = x
Number of IT department employees = y
Number of HR department employee = (x – y)
70/100 * y = 60/100 * (x – y) + 50
70y = 60x – 60y + 5000
60x – 130y + 5000 = 0 ———–(1)
80/100 * (x – y) = 40/100 * (y) + 80
80x – 80y = 40y + 8000
80x – 120y – 8000 = 0 ———–(2)
(1) * 4 – (2) * 3
-160y = – 44000
y = 275
6) Answer: C
Let ‘a’ and ‘b’ are number of oranges and apples respectively.
Oranges sold to A = 20/100 * a = 0.2 a
Oranges sold to B = (a – 0.2a) * 40/100 = 0.32 a
Remaining number of oranges = a – (0.2a + 0.32 a) = 0.48 a
=> 48 = 0.48 a
=> 100 = a
Apples sold to A = 40/100 * b = 0.4 b
Remaining number of Apples = 10/100 * b =0.1 b
Apples sold to B = 100
=> 100 = b – (0.4 b + 0.1 b)
=> 100 = 0.5 b
=> 200 = b
Total number of apples and oranges = a + b = 100 + 200 = 300
Or
Short cut:
Let ‘a’ and ‘b’ are number of oranges and apples respectively.
48 = 60% of (100 – 20)% of a
a = 100
100 = (100 – 40 – 10)% of b
b = 200
Total apples and oranges = 100 + 200 = 300
7) Answer: C
Total number of sweets=80*(15% of 80) + 5*(20% of 80)
=80*12+5*16
=1040
8) Answer: DÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Value of the machine = 260000 * 87/100 * 87/100 = 196794
9) Answer: A
Let the income of Saara and Vinay be x and y respectively,
x + y = 55000 –> (1)
15 % of x + 12 % of y = 7200
15x + 12y = 720000 –> (2)
By solving the equation (1) and (2), we get,
x = 20000, y = 35000
The income of Saara = Rs. 20000
10) Answer: B
Let Manvi’s monthly salary be X,
X * (52/100) * (55/100) = 8580
X = 8580 * (100/52) * (100/55)
X = Rs. 30000Line Graph Questions
Manvi’s annual salary = 30000 * 12 = Rs. 360000
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