ALLIGATIONS

8. The average salary per head of all employees of a

1. If 5 kg of salt costing Rs.5/kg and 3 kg of salt costing
company is Rs.600. The average salary of 120 officers is
Rs.4/kg are mixed, find the average cost of the mixture
per kilogram. Rs.4000. If the average salary per head of the rest of the
employees is Rs.560, find the total number of workers in
(a) Rs.4.5 (b) Rs.4.625
the company?
(c) Rs.4.75 (d) Rs.4.125
(e) Rs.4.25 (a) 10200 (b) 10320
(c) 10500 (d) 10680
2. Two types of oils having the rates of Rs.4/kg and Rs.5/kg
respectively are mixed in order to produce a mixture (e) 10800
having the rate of Rs.4.60/kg. What should be the amount
9. A dishonest milkman purchased milk at Rs.10 per litre
of the second type of oil if the amount of the first type of
and mixed 5 litres of water in it. By selling the mixture at
oil in the mixture is 40 kg?
the rate of Rs.10 per litre he earns a profit of 25%. The
(a) 75 kg (b) 50 kg
quantity of the amount of the mixture that he had was?
(c) 60 kg (d) 40 kg
(a) 15 litres (b) 20 litres
(e) None of these
(c) 25 litres (d) 30 litres
3. How many kilograms of sugar worth Rs.3.60 per kg
(e) None of these
should be mixed with 8 kg of sugar worth Rs.4.20 per kg,
such that by selling the mixture of Rs.4.40 per kg there 10. A cistern contains 50 litres of water. 5 litres of water is
may be a gain of 10%?
taken out of it and replaced by wine. The process is
(a) 6 kg (b) 3 kg
repeated again. Find the proportion of wine and water in
(c) 2 kg (d) 5 kg
the resulting mixture.
(e) 4 kg
(a) 1:4 (b) 41:50
4. A mixture of 125 gallons of wine and water contains 20% (c) 19:81 (d) 81:19
water. How much water must be added to the mixture in
(e) 50:41
order to increase the percentage of water to 25% of the
new mixture? 11. A container has a capacity of 20 gallons and is full of
(a) 10 gals (b) 8.5 gals spirit. 4 gallons of spirit is drawn out and the container is
(c) 8 gals (d) 6.66 gals again filled with water. This process is repeated 5 times.
(e) 8.33 gals Find out how much spirit is left in the resulting mixture
5. Ravi lends Rs.3600 on simple interest to Harsh for a finally?
257 346
period of 5 years. He lends a part of the amount at 4% (a) 6 gallons (b) 6 gallons
525 625
interest and the rest at 6% and receives Rs.960 as the
amount of interest. How much money did he lend on 4% (c) 6.5 gallons (d) 6.25 gallons
interest rate? (e) None of these
(a) Rs.2800 (b) Rs.2100
12. A vessel is full of refined oil. 1/4 of the refined oil is taken
(c) Rs.2400 (d) Rs.1200
out and the vessel is filled with measured oil. If the
(e) Rs.1000
process is repeated 4 times and 10 litres of refined oil is
6. 400 students took the AMS Mock Cat in Lucknow. 60% of finally left in the vessel, what is the capacity of the vessel?
the boys and 80% of the girls cleared the cut off in the 2460
(a) 33 litres (b) litres
examination. If the total percentage of students qualifying 81
2560
is 65%, how many girls appeared in the examination? (c) litres (d) 30 litres
81
(a) 100 (b) 120
(e) None of these
(c) 150 (d) 300
(e) 175 13. In what ratio should two qualities of coffee powder having
the rates of Rs.47 per kg and Rs.32 per kg be mixed in
7. A man purchased a cow and a calf for Rs.1300. He sold the
order to get a mixture that would have a rate of Rs.37 per
calf at a profit of 20% and the cow at a profit of 25%. In
1 kg?
this way, his total profit was 23 %. Find the cost price of
13
(a) 1:2 (b) 2:1
the cow.
(a) Rs.1100 (b) Rs.600 (c) 1:3 (d) 3:1
(c) Rs.500 (d) Rs.400 (e) 4:1
(e) Rs.800

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ALLIGATIONS

14. A thief steals four gallons of liquid soap kept in a train 20. A merchant purchased two qualities of pulses at the rate
compartment’s bathroom from a container that is full of of Rs.200 per quintal and Rs.260 per quintal. In 52
liquid soap. He then fills it with water to avoid detection. quintals of the second quality, how much pulse of the first
Unable to resist the temptation he steals 4 gallons of the quality should be mixed so that by selling the resulting
mixture again, and fills it with water. When the liquid mixture at Rs.300 per quintal, he gains a profit of 25%?
soap is checked at a station it is found that the ratio of the (a) 100 quintals (b) 104 quintals
liquid soap now left in the container to that of the water in (c) 26 quintals (d) None of these
it is 36:13. What was the initial amount of the liquid soap
in the container if it is known that the liquid soap is 21. A man buys milk at Rs.8.5 per litre and dilutes it with
neither used nor augmented by anybody else during the water. He sells the mixture at the same rate and thus gains
entire period? 11.11%. Find the quantity of water mixed by him in every
(a) 7 litres (b) 14 litres litre of milk.

(c) 21 litres (d) 28 litres (a) 0.111 litres (b) 0.909 litres

(e) 49 litres (c) 0.1 litre (d) 0.125 litres

15. In what ratio should water be mixed with soda coasting 22. There are two mixtures of honey and water, the quantity
Rs.12 per litre so as to make a profit of 25% by selling the of honey in them being 25% and 75% of the mixture. If 2
diluted liquid at Rs.13.75 per litre? gallons of the first are mixed with three gallons of the
second, what will be the ratio of honey to water in the
(a) 10:1 (b) 11:1
new mixture?
(c) 1:11 (d) 12:1
(a) 11:2 (b) 11:9
(e) 1:12
(c) 9:11 (d) 2:11
16. A sum of Rs.36.90 is made up of 90 coins that are either
23. There are two kinds of alloys of tin and copper. The first
20 paise coins or 50 paise coins. Find out how many 20
alloy contains tin and copper such that 93.33% of it is tin.
paise coins are there in the total amount?
In the second alloy there is 86.66% tin. What weight of
(a) 47 (b) 43
the first alloy should be mixed with some weight of the
(c) 27 (d) 63 second alloy so as to make a 50 kg mass containing 90%
(e) 70 of tin?

17. A dishonest grocer professes to sell pure butter at cost (a) 15 kg (b) 30 kg
price, but he mixes it with adulterated fat and thereby (c) 20 kg (d) 25 kg
gains 25%. Find the percentage of adulterated fat in the
24. Two containers of equal capacity are full of a mixture of
mixture assuming that adulterated fat is freely available.
oil and water. In the first, the ratio of oil to water is 4:7
(a) 20% (b) 25% and in the second it is 7:11. Now both the mixtures are
(c) 33.33% (d) 40% mixed in a bigger container. What is the resulting ratio of
(e) 35% oil to water?
(a) 149:247 (b) 247:149
18. A mixture of 70 litres of alcohol and water contains 10%
of water. How much water must be added to the above (c) 143:241 (d) 241:143
mixture to make the water 12.5% of the resulting 25. Two vessels contain spirit and water mixed respectively
mixture? in the ratio of 1:3 and 3:5. Find the ratio in which these
(a) 1 litre (b) 1.5 litre are to be mixed to get a new mixture in which the ratio of
(c) 2 litres (d) 2.5 litres spirit to water is 1:2.
(e) 3 litres (a) 2:1 (b) 3:1
(c) 1:2 (d) 1:3
19. A mixture of 20 litres of brandy and water contains 10%
water. How much water should be added to it to increase
the percentage of water to 25%?
(a) 2 litres (b) 3 litres
(c) 2.5 litres (d) 4 litres
(e) 5 litres\

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