Percentage
Formulas of Percentage
Percentage means for every hundred.
The symbol % must be replaced by a fraction 1/100. A percentage must be
expressed as a fraction or a decimal.
Ex: 24% = 24/100 = 6/25 or 0.24
1) a is what percent of b?
what % is a of b?
what % of b is a? sol: a/b x 100
To calculate percent the example problem is given below.
Ex: 50 is what percentage of 100
Sol: (50/100) x 100 = 50%
2) If a is greater than b, then interms of % , a is more than b by (a-b)/b x 100
If a is less than b then interms of % , a is less than b by (b-a)/b x 100
3) If a% and b% are two successive changes, then the overall change = a+b+(ab)/100%
Note: Use '+' for increase and '-' for decrease
4) % of increase = (Increase/Initial value) x 100
% of decrease = ( Decrease/Initial value) x 100
Percentage Introduction and Shortcut
The
videos explains basics of percentage and shortcuts. You can calculate
percentage problem on your finger tips. You will save your time in your
bank exams. If you practice well and you can solve the problems within
45 seconds. Dollar symbol contained in the video. So, to leave the
symbol and practice the problems.
Problems of Percentage
1) What percentage of 70 is 28?
Sol:
The problem means 28 is how much percent in 70 so we have to calculate percent for every hundred
Percentage = 28/70 x 100 = 40%
2) 60 is what percent of 240?
Sol: 60/240 x 100 = 25%
3) 24% of 450 = 12% of 'a' then what is value of 'a'?
Sol: 24/100 x 450 = 12/100 x a
a = (24 x 450)/12 = 900 :-( both 100's are cancelled)
4) 40% of a number is 160 then 32% of it is?
Sol 1: Lets take the number as 'a'
40/100 x a = 160
a = (160 x 100)/40 = 400
So 32% of a = 400 x 32/100 = 128
Sol 2: 40% of number = 160 then
32% of number = ?
32/40 x 160 = 128
5) A number decreased by 20% gives 72 the number is?
Sol: 100% of a number decreased by 20% then the number is 80%
Lets take the number as 'a'
80% of 'a' = 80/100 x a = 72
'a' = (72 x 100)/80
= 90
6) 30% of a number when added to 77 the result is the number itself. the number is?
Sol: Lets take the number as 'a'
30/100 x a +77 = a
(30a + 7700)/100 = a
30a + 7700 = 100a
70a = 7700
a = 7700/70 = 110
7) madhu saves 7% of his income. what is his expenditure if his income is rs.11,400?
Sol: Less the savings in income the expenditure is 93%
expenditure = 93/100 x 11,400
= 10602
8) In a school 8% of the students failed in exam what is the number of students passed in the exam if 1600 appeared for it?
Sol: Passed students = 92/100 x 1600 = 1472
9) Madhu spends 11% on house rent, 18% on kids education, 21% for food, 16% on clothes and 5% on
transport. What is his monthly savings if his income is 13000?
Sol: calculate all his expenditures = 11+18+21+16+5 = 71%
Less the expenditure from his income. So the savings is 29%
Savings = 29/100 x 13000 = 3770
10) 'A' is 25% more than 'B' by how much percent 'B' is less than 'A'?
Sol: lets the value of 'B' is 100% the value of 'A' is increased 100% to 125%
Difference between 'A' and 'B' is 25%
'B' s reduced percent than 'A' = (Difference/Value of 'A') x 100
= 25/125 x 100 = 20%
11) The price of phone is less than the price of the bag by 20% what % the price of bag is more than
the price of phone?
Sol: Lets take price of bag is 100% then price of phone is 80%
Difference between price bag and price of phone is 20%
The price of bag more then price of phone = 20/80 x 100 = 25%
12) Two numbers are 25% and 40% less then the third number. By how much percentage the first
number more then the second number?
Sol: If you take third number as 100%, the first number is 75%, the second number is 60%.
Lets find First number is more then the second number
in percentage = 15/60 x 100 = 25%
Partnership
1. Ram, Raj and Ravi invested Rs 8000, Rs 16000 and 20,000 in a business. If Ravi received Rs 72,000 more then Ram as his share in the annual profit. What is the share of Raj.
2. The investments of A, B and C are Rs 60,000, Rs 42,000 and 36,000. The total profit is 2,76,000. What is the difference between the share of A and C?
3. A, B and C entered into a business. The The investment of A and B are Rs 28,000 and Rs 32,000. If A and B receives Rs 42,000 and 48,000 as their share of profit in an annual profit of Rs 1,50,000. What is the investment of C?
4. Anitha, Bhanu and Chandra entered into a partnership . Anitha contributes Rs 32,000 for 10 months, Bhanu contributes Rs 50,000 for 6 months and Chandra contributes Rs 30,000 for 6 months. What is tha share of Bhanu in the total profit of Rs 1,20,000?
5. A, B and C hired a parking place. A parked his 36 cars for 2 months. B his 25 cars for 2 months and C his 28 cars for 5 months. If A's share of rent was Rs 360. What is total rent?
6. A and B invested Rs 15,000 and Rs 25,000 respectively. After 4 months A add Rs 5000 to his investment. What is share of B in the annual profit of 26,000?
7. Radha and Krishna entered into a partnership with Rs 50,000 and Rs 60,000. After 4 months Rahda invested 25,000 more while Krishna withdraw Rs 20,000. Find the share of Radha in the annual profit of Ra 2,89,000?
8. A and B invested Rs 20,000 and Rs 30,000 in business respectively. After some time A withdraw his investment. If the share of B in the annual profit of Rs 52,000 is 36,000, When did A leave the business?
9. In business A invested 5 times as much as B. B invest 1/4 of C's investment. If the annual profit Rs 90,000. What is the share of B?
10. A, B and C started a business. A invested Rs 50,000. A and B received Rs 20,000 and 12,000 as their shares in the total profit Rs 40,000. What is the investment of C?
11. In a business the investment of A and B are in the ratio 5 : 3. If 1/3 of the total profit goes to foundation and A received Rs 2500. What is the total profit?
12. In a joint venture A, B and C invested 1/2, 1/7 and remaining capitel respectively. Then What is the share of B in the total profit Rs 5,25,000?
13. A started a business by investing 50,000. After 2 months B joined him with Rs 60,000 investment. What is the share of A in the annual profit?
Written By Rakesh Kumar.
Written By Rakesh Kumar.
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