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# PERCENTAGE & RATIO PROPORTION SET2

Q.1 In a survey it was found that 40 % like tea,50% like coffee , 60% like milk. Every person likes atleast one of the thrice items tea/coffee/milk. What are the maximum & minimum possible values who like all the three ?

A) 25 & 50

B) 50 & 25

C) 30 & 60

D) 60 & 30

Ans. A

Maximum value = Surplus/2

Or Surplus = 40+50+60 = 150/3

Surplus=50

Or 50/2=25

Minimum Value

= Surplus = 50 Ans.

Q.2 In a survey it was found 80% like tea & 70 % like coffee. What is the minimum number of those who like this ?

A) 50

B) 60

C) 70

D)80

Ans. A

A U B = n A + n B – n(A n B)

Or 100 = 80+70-n(A n B)

n (A n B) = 150-100 = 50
Q.3 In two successive years 104 & 96 students of a school appeared at the final examination & 75% & 87 ½ % passed. The average % of the passing is :-

A) 80 %

B) 81 %

C) 82 %

D) 83 %

Ans. B

% of passing = Total passing / Total students * 100

Students passed in Ist year = 104*75/100 = 78

Students passed in IInd year = 96*87.5/100 = 84

Therefore, total pass = 78+84 = 162

Or Total students = 104+96 = 200

Thus, according to the formula, we have

162/200*100 = 81%

Q.4 Salaries of A & B together amount Rs.2000/- A spent 95 % of his salary & B 85% of his salary . If now their savings are same. What is the A’s salary ?

A) 1500

B) 750

C) 1250

D) 1800

Ans. A

Salary of A & B together Rs. 2000/-

Let A’s salary =x then B’s salary = (2000-x)

Expenditure of A = 95% of x

Savings of A = 5% of A

Savings of B=15% of (2000-x)

5% of A = 15% of B

Or 5x/100 = 15/100 (2000-x)

Or 5x = 30000-15x

20x = 30000

Or x=1500

Q.5 A’s salary is 30% more than the B’s salary. B’s salary is 40 % of C’s salary . If the total salary of A,B & C together is 7680. What is the A’s salary ?

A) 2060

B) 2070

C) 2080

D) 2090

Ans. C

Let C’s salary be 100,

B = 40/100*100 = 40X

A = 4