Arithmetic 02 - Class Notes - MBA Pioneer 2024 Batch
Arithmetic 02 - Class Notes - MBA Pioneer 2024 Batch
Arithmetic 02 - Class Notes - MBA Pioneer 2024 Batch
Percentage 2
Lecture No.- 02
#Q. The population of the village of Gavas is 10000 at this moment. It increases by 10%
in the first year. However, in the second year, due to immigration, the population drops
by 5%. Find the population at the end of the third year if in the third year the population
increases by 20%
A 12340
B 12540
C 12750
D 12740
QUESTION- 2
#Q. The value of a machine depreciates at the rate of 16% per annum. If the price of a
new machine is Rs. 62500, its value after 3 years, (in rupees) will be
A 32500
B 36054
C 37044
D 38400
QUESTION- 3
#Q. A papaya tree was planted 2 years ago. It increases at the rate of 20% every year. If
at present, the height of the tree is 540 cm, what was its height when the tree was
planted?
A 375
B 450
C 400
D None of these
QUESTION- 4
#Q. The price of an article is reduced by 25% but its daily sale increases by 30%. Thus,
the daily sale receipts will
A increase by 2.5%
B decrease by 2%
C increase by 2%
D decrease by 2.5%
QUESTION- 5
#Q. Two shopkeepers announced the same price of Rs. 20,000 for an article. The first
one offers two successive discounts of 20% and 5%, while the second one offers two
successive discounts of 15% and 10%. What is the difference between the effective
values of discounts offered by the two shopkeepers?
A Nil
B Rs. 50
C Rs. 100
D Rs. 500
Application of Percentage :
Example 1: Company ‘X’ is having sales of Rs. 240 crores & Company ‘Y’ is having sales
of Rs. 360 crores, the find
I. Percent Increase in Sales of Company Y as compare with Company X
II. Percent Decrease in Sales of Company X as compare with Company Y
III. Percent Change in Sales of Company Y as compare with Company X
Application of Percentage :
Example 2: For a particular question, a student has given answer as 80, but the correct
answer was 50, then find percent change in the answer given by student
QUESTION- 6
A 96 %
B 95 %
C 150 %
D 85 %
QUESTION- 7
#Q. The price of a table is Rs. 350 more than that of a chair. If 7 tables and 7 chairs
together cost Rs. 4550, by what percent is the price of the chair less than that of the
table?
A 75 %
B 65 %
C 70 %
D None of these
QUESTION- 8
#Q. Vicky’s salary is 75% more than Ashu’s. Vicky got a raise of 40% on his salary while
Ashu got a raise of 25% on his salary. By what percent is Vicky’s salary more than
Ashu’s?
A 96 %
B 51.1 %
C 90 %
D 52.1 %
QUESTION- 9
#Q. The price of an apple is twice that of an orange. The price of an orange is thrice that
of a banana. If the price of an apple increases by 10%, price of an orange increases by
30% and the price of a banana increases by 20%. Find the percentage increase in the
price of 20 apples, 20 oranges and 20 bananas
A 19 %
B 17 %
C 15 %
D 13 %
Conversion of Decimal Percentage into Fraction Form :
Conversion of Decimal Percentage into Fraction Form :
Conversion of Decimal Percentage into Fraction Form :
1 1/2
100% 50%
1/3 2/3
33.33% 66.67%
1/11 2/11 3/11 4/11 5/11 6/11 7/11 8/11 9/11 10/11
09.09% 18.18% 27.27% 36.36% 45.45% 54.54% 63.63% 72.72% 81.81% 90.90%
QUESTION- 10
#Q. A man spent 16.66% of his monthly earning on house rent. Out of the balance, he
spent 12.5% on clothes. Out of remaining, 25% on travelling. Out of the balance, 22.22%
on education. From remaining, 27.27% on food. If he had a balance of Rs. 1225 at the
end of the month, the monthly earning of the man (in rupees) is
A 5890
B 3960
C 1560
D 2590
Problems for Practice [CAT PYQs] :
QUESTION- 11
#Q. The salaries of three friends Sita, Gita and Mita are initially in the ratio 5 : 6 : 7,
respectively. In the first year, they get salary hikes of 20%, 25% and 20%, respectively. In
the second year, Sita and Mita get salary hikes of 40% and 25%, respectively, and the
salary of Gita becomes equal to the mean salary of the three friends. The salary hike of
Gita in the second year is [CAT 2023 : Slot 1]
A 25 %
B 30 %
C 28 %
D 26 %
QUESTION- 12
#Q. In a tournament, a team has played 40 matches so far and won 30% of them. If
they win 60% of the remaining matches, their overall win percentage will be 50%.
Suppose they win 90% of the remaining matches, then the total number of matches
won by the team in the tournament will be [CAT 2021 : Slot 3]
A 86
B 84
C 78
D 80
QUESTION- 17
#Q. In an examination, the score of A was 10% less than that of B, the score of B was
25% more than that of C, and the score of C was 20% less than that of D. If A scored 72,
then the score of D was [TITA] [CAT 2019 : Slot 2]
QUESTION- 18
#Q. The income of Amala is 20% more than that of Bimala and 20% less than that of
Kamala. If Kamala's income goes down by 4% and Bimala's goes up by 10%, then the
percentage by which Kamala's income would exceed Bimala's is nearest to
[CAT 2019 : Slot 1]
A 28
B 29
C 31
D 32
2 Mins Summary
1) Application of Percentage