Learn Tricks to Solve Problems on Percentage for SSC, Bank Exam Preparation

1. Concept of Percentage: By a certain percent, we mean that many hundredths.Thus, x percent means x hundredths, written as x%.
   
   
   

   To express x% as a fraction: We have, x% =	x	.
   	100

   Thus, 20% =	20	=	1	.
   	100		5

2. Percentage Increase/Decrease: If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is:
   
   

   If the price of a commodity decreases by R%, then the increase in consumption so as not to decrease the expenditure is:

3. Results on Population: Let the population of a town be P now and suppose it increases at the rate of R% per annum, then:
   
   
   

   2. Population n years ago =	P

4. Results on Depreciation: Let the present value of a machine be P. Suppose it depreciates at the rate of R% per annum. Then:
   
   
   

   2. Value of the machine n years ago =	P

   A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

   Answer:  Option B Explanation: Number of runs made by running = 110 – (3 x 4 + 8 x 6) = 110 – (60) = 50. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are: A. 39, 30 B. 41, 32 C. 42, 33 D. 43, 34 Answer:  Option C Explanation: Let their marks be (x + 9) and x. Then, x + 9 = 56 (x + 9 + x) 100  25(x + 9) = 14(2x + 9)  3x = 99  x = 33 So, their marks are 42 and 33.

   A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

   A. 588 apples

   B. 600 apples

   C. 672 apples

   D. 700 apples

   What percentage of numbers from 1 to 70 have 1 or 9 in the unit’s digit?

   If A = x% of y and B = y% of x, then which of the following is true?

   .A.A is smaller than B

   B. A is greater than B

   C.If x is smaller than y, then A is greater than B.

   D.None of these

   If 20% of a = b, then b% of 20 is the same as:

   A. 4% of a

   B. 5% of a

   C.20% of a

   D.None of these

   Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

   A. 2 : 3

   B.1 : 1

   C.3 : 4

   D. 4 : 3

   QUIZ ON PERCENTAGE RELATED PROBLEMS

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