1. Gold is 19 times as heavy as water and copper 9 times. in what ratio should these metals be
mixed so that the mixture may be 15 times as heavy as water? ans:3:2
2. how much chicory at Rs 4 / kg should be added to 15 kg of tea at Rs 10/kg,so that the mixture
be worth Rs 6.50/kg? ans:Rs 21 kg of chicory
3. a mixture of 40 ltrs of milk and water contains 10% water. how much water must be added to
make water 20% in the new mixture? ans:5 ltrs
4. a man has 30000 rupees to lend on loan. he lent some of his capital to mohan at an interest
rate of 12% per annum. at the end of one year he got 17% of his capital as interest. how much
did he lend to mohan? ans:Rs 18750/‐
5. a vessel of 80ltrs is filled with milk and water. 70% of milk and 30% of water is taken out of the
vessel.it is found that the vessel is vacated by 55%. find the initial quantity of milk and
water? ans:50 ltrs
6. a man has 60 pens. he sells some of these at a profit of 12% and the rest at 8% loss. on the
whole, he gets a profit of 11%.how many pens were sold at 12% profit and how many at 8%
loss? ans:19:1
7. the ratio of milk and water in 66 kg of adulterated milk is 5:1. water is added to it to make the
ratio 5:3. the quantity of water added is? ans:22 ltrs
8. a dishonest milkman professes to sell his milk at cost price but he mixes it with water and
thereby gains 25%. the percentage of water in the mixture is? ans:25%
9. a sum of Rs 41 was divided among 50 boys and girls. each boy gets 90 paise and each girl 65
paise. the number of boys is? ans:34
10.a can contains a mixture of two liquids A and B in proportion 7:5. when 9 ltrs of mixture are drawn
off and the can is filled with B the proportion of A and B becomes 7:9. how many litres of liquid A was
contained by the can initially? ans:36 ltrs
HCF AND LCM Explanations and Examples
1. Find the greatest weight which can be contained exactly in 1 kg 235 gm and 3 kg 430 gm? ans:5gm
3.what is greatest number that will divide 2400 and 1810 and leave remainders 6 and 4
respectively? ans:42
4.find the greatest no. which will divide 410,751 and 1030 so as to leave remainder 7 in each
case? ans: 31
5. the product of two numbers is 7168 and their HCF is 16.find the numbers? ans:448,16 or 112,64
6.find the least number which when divided by 18, 24, 30 and 42, will leave in each case the same
remainder 1? ans:2521
7.find the least number which when divided by 2,3,4,5,6 leaves in each case a remainder of 1,but
when divided by 7 leaves no remainder? ans:301
8.find the sum of numbers between 300 and 400 such that when they are divided by 6,9 and 12 , it
leaves no remainder.? ans:1080
Simple interest and compound interest Examples
1. in what time will Rs 390625 amount to Rs 456976 at 4% compound interest? ans:4 yrs
2. a sum of money placed at compound interest doubles itself in 4 yrs. in how many yrs will it
amount to eight times itself? ans: 12 yrs
3. find the least number of complete yrs in which a sum of money at 20% CI will be more than
doubled? ans 4 yrs
4. if CI on a certain sum for 2 yrs at 3% be Rs 101.50, what would be the SI?Rs 100
5. the difference between the CI and the SI on a certain sum of money at 5% per annum for 2 yrs
is Rs 1.50. find the sum? ans:Rs 600
6. find the difference between the CI and the SI for the sum Rs 1500 at 10% per annum for 2
yrs? ans:Rs 15
7. if the compound interest on a certain sum of money for 2 yrs at 5% is Rs 246, find the SI at the
same rate for the same time? ans: Rs240
8. find the simple interest on Rs 306.25 from march 3 to july27 at 3.75% per annum? ans:Rs 4.59
nearly
9. what annual payment will discharge a debt of Rs 770 due in 5 yrs, the rate of interest (si) being
5% per annum? ans:Rs 140
10.a certain sum of money amounts to Rs 756 in two yrs and to Rs 873 in 3.5 yrs.find the sum and
the rate of interest.? ans:13% per annum
Ratio and proportion Examples
1. if 0.7 of one number be equal to 0.075 of another, what is the ratio of the two
numbers? ans:3:28
2. two sums of money are proportional to 8:9. if the first is Rs 20, what is the
other? ans:Rs22.50
3. calculate the 4th proportional to the number 490,70,69? ans:60/7
4. divide Rs 324.36 into three parts in the proportion of 5:6:7? ans:90.10,108.12,126.14
5. if 30 men do a piece of work in 27 days, in what time can 18 men do anotherpiece of work
3 times as great? ans:135 days
6. if 1000 copies of a book of sheets require 26 reams of paper , how much paper is required
for 5000 copies of a book of 17 sheets? ans:170 reams
7. an employee reduces the no. of his employees in the ratio 9:8 and increases their wages in
the ratio 14:15. state whether his bill of total wages increaes or decreases, and in what
ratio? ans:decrease in bill,21:20
8. what must be added to two numbers that are in ratio 3:4. so that they become in the ratio
4:5? ans:1
9. the speed of three cars are in the ratio 2:3:4. what is the ratio among the times taken by
these cars to travel the same distance? ans:1/2:1/3:1/4 or,6:4:3
PROFIT AND LOSS Examples
1. man buys a shirt and a trouser for Rs 371. if the trouser costs 12% more than the shirt,find
the cost of the shirt? ans.Rs 175
2. if by selling 2 items for Rs 180 each the shopkeeper gains 20% on one and loses 20% on the
other, find the value of the loss? ans:Rs15
3. by selling 15 mangoes a fruit vendor covers the cost price of 20 mangoes. find the profit
percentage? ans.33.33%
4. a manufacturer makes a profit of 15% by selling a colour TV for Rs6900. if the cost of
manufacturing increases by 30% and the price paid by the retailer is increased by 20%, find
the profit percent made by the manufacturer? ans 6.15%
5. find a single discount to equal three consecutive discount of 10%, 12% and 5%? ans 24.76%
6. ashok bought an article and spent Rs 110 on its repair. he then sold it to bhushan at a profit
of 20%. bhushan sold it to charan at a loss of 10%. charan finally sold it for Rs 1188 at a
profit of 10%. find the cost price that ashok had to pay? ans Rs 890
7. oranges are bought at 12 for a rupee and are sold at 10 for a rupee. find the percentage
profit or loss? ans 20%
8. a digital diary is sold for Rs 935 at a profit of 10%.what would have been the actual profit or
loss on it, if he had sold his goods for Rs 810?
9. a trader allows discount of 5% for cash payment. how much percent above the cost price
must he mark his goods to make a profit of 10%? ans. Rs115.59
This study guide or work book is very essential for practising IBPS cwe online clerk Exam 2012.
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