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# PERCENTAGE & RATIO PROPORTION SET6

Q.1 Sum of Rs. 312 was divided among 100 boys & girls in such a way that each boy gets Rs.3.60 & each girl Rs.2.40. Find the no. of girls ?
A) 40
B) 41
C) 42
D) 43
Ans. A
312/100=3.12

360 240
312
72 48
Or 72:48=3:2
Or 2/5*100=40

Q.2 In what ratio must water be mixed with milk to gain 20% by selling mixture at cost price ?
A) 1:5
B) 5:1
C) 1:4
D) 4:1
Ans. A
C.P.=100/120*1=5/6
0 1
5/6
1-1/5 5/6-0
=1/6 =5/6
Therefore,1/6:5/6=1:5

Q.3 Indian electricity prices have risen from Rs. 6.4 to Rs.6.5 per unit.Arvi’s factory expected to use 600 units in the next billing period. He installed solar panels at the start of that period. This reduced his electricity usage by 90%.
How much did Arvi’s bill increase ?

A) Rs. 6

B) Rs. 38

C) Rs. 39

D) Rs. 54

Ans. A

Number of units of electricity used in the factory = 600
Number of units of electricity used after installing solar panels = 600

90% of 600 = 60
Increase in the cost of one unit electricity = Rs 6.5-6.4=0.1

Increase in Arvi’s bill = Rs 0.1 × 60 = Rs 6

Passage:
A company having 450 employees has sent all its employees for training in one or more areas out of HRM, Computer skills & Financial skills. The employees are classified into two categories : Officers & Clerks, who are in the ratio 4 :5. 10% of the officers takes training only in computer skills , 16 % of clerks takes training only in HRM, which is equal to the number of officers taking only in Financial skills both. 6% of the total employees takes training in all the three ,of which two-thirds are officers. 10 % of total employees takes training in Computer skills & HRM both which is five times the number of clerks taking training in Computer skills & Financial skills . 10 % of the clerks taking training in HRM & Computer skills both. The number of officers taking training only in HRM is 25% of the number of clerks taking training only in HRM. 20% of the total number of employees takes training only in Computer skills . Number of clerks taking training in HRM & Financial skills both is 20 % of the total number of clerks.

Q.4 How many total clerks takes training in Computer skills but not in HRM ?

A) 113

B) 70

C) 88

D) 79

Ans. B

Q.5 Total how many officers takes training in HRM ?

A) 128

B) 118

C) 92

D) 110

Ans. C

Q.6 How many total clerks takes training in Financial Skills ?

A) 106

B) 115

C) 97

D) 124

Ans. D

74+41+9 = 124

Q.7 How many total employees takes training in financial skills but not in HRM ?

A) 135

B) 162

C) 164

D) 106

Ans. B

74+40+48 = 162

Q.8 What percent of the total number of Officers takes training in Computer Skills but not in Financial Skills ?

A) 25 %

B) 15 %

C) 40 %

D) 11 %

Ans. D

% = Officers taking training in Computer skills but not in financial skills/ Total number of officers * 100

(20+2)/200 * 100 = 11 %

Explanation:

Number of officers = 450*4/(4+5) = 450 * 4/9 = 200
Number of Clerks = 450 – 200 = 250
Officers in Computer skills = 10/100 * 200 = 20
Clerks in HRM =16/100 * 250 = 40 (Officers in Financial skills)
Clerks in HRM = 50 % of officers in HRM & Financial skills
Therefore, Officers in HRM & Financial skills = 40*100/50 = 80
Total employees taking training in all three = 6/100*450 = 27
Officers in all three = 2/3*27 = 18
Therefore, clerks in all three= 27-18 = 9
***Employees taking training in HRM & Computer skills = 10/100*450 = 45
Employees in HRM & computer skills = 5* clerks in computer skills & financial skills
Thus, Clerks in computer skills & Financial skills = 45/5 =9
Clerks in HRM & Computer skills =10% of 250
=25
Officers only in HRM =25% of clerks in HRM
25/100*40=10
Clerks in HRM & Financial skills = 20% of 250 = 50