FACULTY OF ENGINEERING & TECHNOLOGY
S.R.M. UNIVERISTY [Under section 3 of UGC act 1956]
SUBJECT CODE: PD 0301A
SUBJECT: PERSONALITY DEVELOPMENT – V
RATIO & PROPORTION AND ALLIGATION METHOD
WORKSHEET 2
CLASS ASSIGNMENT
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If a:b=3:7, find the value of (5a+b):(4a+5b).
(a) 15:44
(b) 22:35
(c) 15:49
(d) 22:47
Which of the following ratio is greatest?
(a) 7:15
(b) 22:35
(c) 15:49
(d) 21:29
Two numbers are respectively 20% and 50% more than a third number. The ratio of the
two numbers is:
(a) 2:5
(b) 3:5
(c) 4:5
(d) 6:7
Suppose x varies inversely as square of y when y=3 and x=4. Find x when y=6.
(a) 1
(b) 2
(c) 3
(d) 4
Divide Rs.1162 among A, B & C in the ratio 35:28:20. Find C’s share.
(a) 120
(b) 280
(c) 170
(d) 210
A bag contains one rupee, 50 paisa and 25 paisa coins in the ratio 1:2:4. If the total amount
is Rs. 75, then find the number of 50 paisa coins in the bag.
(a) 25
(b) 50
(c) 75
(d) 100
If a is 75% of b, b is 150% of c and d is 25% of c then find a:d.
(a) 9:1
(b) 9:2
(c) 8:3
(d) 8:1
The present ages of two persons are in the ratio 7:8.Twenty years ago the ratio of their ages
was 9:11. Find the present age of the older son.
(a) 64 years
(b) 72 years
(c) 56 years
(d) 40 years
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a
proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio
of increased seats?
(a) 2:3:4
(b) 6:7:8
(c) 6:8:9
(d) none of these
What is the ratio of 2 feet to 4 yards?
(a) 1:2
(b) 1:8
(c) 1:7
(d) 1:6
A sum of Rs. 36.90 is made up of 180 coins which are either 10 paisa coins or 25 p coins.
Find the number of 10 p coins.
(a) 48
(b) 54
(c) 56
(d) 60
The salaries A, B, C are in the ratio 2:3:5. If the increments of 15%, 10% and 20% are
allowed respectively in their salaries then what will be new ratio of their salaries?
(a) 3:3:10
(b) 10:11:20
(c) 23:33:60
(d) cannot be determined
If 40% of a number is equal to two-third of another number, what is the ratio of first
number to the second number?
(a) 2:5
(b) 3:7
(c) 5:3
(d) 7:3
Annual income of A and B are in the ratio 4:3 and their expenses are 3:2. If each saves
Rs.600 at the end of the year, find the annual income of each.
(a) Rs.1200,
(b) Rs.1500,
(c) Rs.2400,
(d) Rs.3600, Rs.2700
Rs.900
Rs.1125
Rs.1800
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27
The value of a silver coin varies directly as the square of its diameter when the thickness
remains the same and directly as its thickness while the diameter is constant. Two silver
coins have their diameter as 4:3. Find the ratio of their thickness if the value of the first is 4
times the value of the second.
(a) 4:3
(b) 3:2
(c) 2:1
(d) 9:4
In a mixture 60 litres, the ratio of milk and water 2:1. If this ratio is to be 1:2, then the
quantity of water to be further added is:
(a) 20 litres
(b) 30 litres
(c) 40 litres
(d) 60 litres
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 :
1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be
(a) Rs.169.50
(b) Rs.170
(c) Rs.175.50
(d) Rs.180
In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture
worth of Rs. 8 per litre?
(a) 3:2
(b) 1:2
(c) 2:3
(d) 2:1
Two vessels A and B contain milk and water mixed in the ratio 8: 5 and 5 : 2 respectively.
The ratio in which these two mixtures be mixed to get a new mixture containing milk and
water in the ratio 9 : 4 ?
(a) 2:7
(b) 3:5
(c) 5:2
(d) 5:7
A sum of Rs.40 divided among 50 men and women. Each man gets 100 paise and a woman
gets 60 paise. Find the number of men.
(a) 28
(b) 38
(c) 461
(d) 56
A grocer sells one kind of tea at Rs.2.70 per kg and loss is 10% and another at Rs.4.50 per
kg and gains 12 ½ %. How should the two quantities of tea be mixed so that the mixture
may be sold at Rs.3.95 per kg at the profit of 25%?
(a) 42:8
(b) 16:2
(c) 21:4
(d) 4:21
85 kg of a mixture contains milk and water in the ratio 27:7. How much more water is to
be added to get a new mixture containing milk and water in the ratio 3:1?
(a) 5kg
(b) 6.5kg
(c) 7.25kg
(d) 8kg
Two liquids A and B are in the ratio 5:1 in container 1 and in container 2, they are in the
ratio 1:3. In what ratio should the contents of the two containers be mixed so as to obtain a
mixture of A and B in the ratio 1:1?
(a) 2:3
(b) 4:3
(c) 3:2
(d) 3:4
In what ratio must a person mix three kinds of tea costing Rs.60/kg, Rs.75/kg and
Rs.100 /kg, so that the resultant mixture when sold at Rs.96/kg yields a profit of 20%?
(a) 1:2:4
(b) 3:7:6
(c) 1:4:2
(d) none of these
15 litres of mixture contains 20% spirit and the rest water. If 3 litres of water be mixed
with it, the percentage of spirit in the new mixture would be
(a) 15
(b) 16 2/3
(c) 17
(d) none of these
The owner of Gada Electronics, Jethalal sold total 108 mobiles of two companies last
month. Samsung at 36% profit and Nokia at 9% profit. If he made total 17% profit on total
sales of these mobile phones, how many Samsung phones did he sell?
(a) 32
(b) 76
(c) 48
(d) 94
400 people live in Gokuldham society. Average weight of men is 80kg and women is 60
kg. If the average weight of all people combined is 65 kg, how many women live in this
society?
(a) 100
(b) 300
(c) 275
(d) 328
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30
75 liters mixture of spirit and water contains 80% spirit. How much water should be added
to decrease the concentration of spirit to 75%?
(a) 2 liters
(b) 4 liters
(c) 5 liters
(d) 6 liters
16 liters of Soda is mixed with 5 liters of Water. Price of this Soda is Rs.12 / lit and price
of water is Rs.33/lit. What is the average price of this mixture? And if the shopkeeper
wishes to make 25% profit on his investment, at what price should he sell this mixture?
(a) Rs.15, Rs.18
(b) Rs.20, Rs.32
(c) Rs.20, Rs.35
(d) Rs.17, Rs.21.25
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The
second contains 50% water. How much milk should he mix from each of the containers so
as to get 12 litres of milk such that the ratio of water to milk is 3 : 5 ?
(a) 4 litres, 8 litres (b) 6 litres, 6 litres (c) 5 litres, 7 litres (d) 7 litres, 4 litres
HOME ASSIGNMENT
31
Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by
Rs. 4000, the new ratio becomes 40:57. What is Sumit's salary?
(a) Rs.17,000
(b) Rs.20,000
(c) Rs.34,000
(d) Rs.38,000
32
The sum of three numbers is 98. If the ratio of the first to second is 2:3 and that of
the second to the third is 5:8, then the second number is:
(a) 20
(b) 30
(c) 48
(d) 58
33
A certain sum is divided among A,B and C in a manner that for every rupee that A
gets, B gets 75 paisa and for every rupee that B gets, C gets 50 paisa. If B's share in
the total sum is Rs 840.Find the share of A
(a) Rs.2380
(b) Rs.2240
(c) Rs.1750
(d) Rs.1120
34
A certain amount of money is divided among A,B and C such that A gets half of
what B and C gets together. B gets one third of what A and C together get. If A got
Rs 500 more than B, then how much money was divided?
(a) Rs.4500
(b) Rs.6000
(c) Rs.8000
(d) none of these
35
A man lent $2000, part of this at 4% and the rest at 6% per annum simple interest.
The whole annual interest amounted to $92. How much did he lend at 6%?
(a) 600
(b) 700
(c) 800
(d) 900
36
Two vessels A and B contain milk and water mixed in the ratio 4: 3 and 2: 3. In
what ratio must these mixtures be mixed to form a new mixture containing half
milk and half water?
(a) 1:2
(b) 2:1
(c) 6:5
(d) 7:5
37
In what ratio must rice at Rs. 9.30 per kg be mixed with rice at Rs. 10.80 per kg so
that the mixture be worth Rs. 10 per kg?
(a) 7:8
(b) 31:36
(c) 8:7
(d) 36:31
38
How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of
sugar costing Rs. 7 per kg so that there may be a gain of 10 % by selling the
mixture at Rs. 9.24 per kg. ?
(a) 36
(b) 42
(c) 54
(d) 63
39
Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6
respectively. Find the ratio in which these mixture be mixed to obtain a new
mixture in vessel C containing spirit and water in the ration 8 : 5 ?
(a) 4:3
(b) 3:4
(c) 5:6
(d) 7:9
40
A mixture of milk and water measures 60 gallons. It contains 20% water. How
many gallons of water should be added to it so that water may be 25%?
(a) 4
(b) 5
(c) 8
(d) 9