#Arithmetic
Reveiw : Percent Increase and Decrease , Cumulative Percent , Simple and Compound Interest
Practice Examples 1, Practice Examples 2
Q.6
28 % of ‘m’ is 1680
Quantity A Quantity B
(m+6)/6 m/6
A. Quantity A is greater
B. Quantity B is greater
C. Quantity A and Quantity B are equal
D. The relationship cannot be determined
Solution ;
28 % of m = 1680
(28/100) x m = 1680
m = (1680 x 100)/28
m = 6000
First we will solve for Quantity A
(m+6)/6 =(6000+6)/6 = 6006/6 = 1001
Quantity B
m/6 = 6000/6 = 1000
From the above solution obviously Quantity A is greater than Quantity B.
The answer is ‘A’.
Q.7
The profit of a company was $5600 in 2014 and $6500 in 2015, what is the change in percent in the profit of a company in year 2015.
A. 15 %
B. 16.9 %
C. 15.08 %
D. 16.07 %
E. 19 %
Solution ;
As there is increase in the profit in the year 2015 compared to year 2014
= 16.07%
The correct answer is ‘D’.
Q.8
If ‘a’ is 50 % of ‘b’. a, b are integers and ≠ 0.
Quantity A Quantity B
a+ b -3a2
A. Quantity A is greater
B. Quantity B is greater
C. Quantity A and Quantity B are equal
D. The relationship cannot be determined
Solution;
a = 50% of b
Condition 1; Suppose b = 10 , a = 5
a + b = 5+10 = 15
-3a2 = -3 x 5×5 = -75
Quantity A is greater.
Condition 2; b = -10, a = – 5
a + b = -5 – 10 = -15
-3a2 =- 3 x 5x-5 = -75
Quantity A is greater
Condition 3; If b = 4 , a = 2 ,
a + b = 2+4 = 6
-3a2 = -3 x 2 x 2 = -12
Quantity A is greater
In all the conditions Quantity A is greater.
The correct answer is ‘A’.
Q.9
Albert opened a savings account on 1st March 2012 in Max Bank for his salary worth of $ 4500 per month. Every month he saved 12% of his salary in the bank. After one year he closed his salary account and put all his savings in fixed deposit with 7% simple annual interest, which of the following is true?
I. After one year his savings would be $ 6480.
II. At the end of March 2014, Albert got $550 as interest
III. Total Amount at the end of March 2014 would be $6933.6.
A. Only statement I is correct
B. Only II statement is correct
C. Only III statement is correct
D. Statements I, II are correct
E. Statements I and III are correct.
Answer;
Albert saved 12% of his salary that means;
(12/100) x 4500 = $540 he saved every month.
After one year he saved 12 x $ 540 = 6480, which is the principal amount for next year
In one year Simple interest ‘I’ = PRT
= 6480 x (7/100) x 1
= $ 453.6
Total amount after one year(31st March 2014) in Albert’s account = $ 6480 + $ 453.6 = $ 6933.6
Statement I is correct as his savings were $ 6480 after one year but Statement II is incorrect as the interest was $ 453.6 after one year not $ 550 and the principal amount after one year is $6933.6.
The answer is E.
Q.10
In a community hall 1500 people includes men women and children. Out of which men are 36% of the women and women are 65% of total people present in the community hall. How many children are present in the community hall?
A. 124
B. 135
C. 186
D. 174
E. 122
Answer;
Women are 65% of total people = (65/100) x 1500
= 975
Total People = Men + Women + Children
1500 = Men + Children + 975
Men + Children = 1500 – 975
= 525
Men are 36% of women i.e. 36/100 x 975
= 351
Men + Children =525
351 + Children = 525
Children = 525 – 351
= 174
The answer is ‘D’.
Q.11 www.limaglobal.com
In a Rock Music Concert, at 8 O’ Clock there were 500 spectators of which 18% were children. After two hours there were 700 spectators of which 12% were children. Find the number of children from 8 O’clock to 10 O’clock at the Concert?
A. Neither increased nor decreased
B. Increased by more than 8%
C. Decreased by less than 8%
D. Increased by 10 %
E. Decreased by 10%
Solution:
First we will find 18% of 500 = (18/100) x 500
= 90
At 8 O’clock there were 90 children.
Now find out 125% of 700 = (12/100) x 700
= 84
Here there is a decrease in numbers of children from 8 O’clock to 10 O’clock.
Change in % from 8 O’clock to 10 O’clock
= @ 6.66%
6.66% is a decrease of less than 8%.
