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Class: 7th Maths Notes, Chapter: 10, Topic: Percentage and its Application, , Percentage:, ,  Percent means “out of 100”.,  It is derived from per centum meaning per hundred,  It is represented by % symbol, ��, ,  Examples: 70 % means 70 out of 100 or ���, , To convert a Fraction and a decimal into percentage:,  Multiply by 100%,  Example: For decimal For Fraction-, , 0.7 = 0.7 × 100 % = 70%, 7, , 20, , 7, , =, , 20, , × 100 % = 35%, , To convert a percentage to a fraction and a decimal:,  divide by 100 and Remove % symbol.,  Example:, , 55, , 55% = 100 =, , 11, 20, , (In fraction), , = 0.55 (In decimal), , To express percentage as ratio:,  Divide by 100 and remove %.,  Now write fraction as ratio., 55, ,  Example: 55% = 100 =, , 11, , Some Common formulae:,  Score Percentage =, , 20, , = 11: 20, , �������� �����, ,  Percentage increase =, ,  Percentage decrease =, , ����� �����, ��������, , �������� �����, ��������, , × 100 %, , �������� �����, , × 100 %, , × 100 %

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Profit and Loss, , Some terms:, , , , , , , Selling Price, Cost Price, Effective Cost Price, Profit or Gain, Loss, , : Cost at which an item sold, : Cost at which an item bought or purchased., : CP + overhead expenses, : If SP > CP, : If SP < CP, , Some Formulae:, Profit, , Loss, , Profit = SP – CP, Profit % =, , ������, ��, , �� ×���, , CP = ��� + ������ %, , Loss = CP – SP, Loss % =, , × ��� %, , ����, ��, , �� ×100, , CP = 100−���� %, , × 100 %, , Simple Interest, Some terms:, , , , , , Principal (Rs.), Rate of Interest (%), Time (years), Amount (Rs.), , : Money to be borrowed, : Extra charge on Principal, : Duration of debt, : Sum of Principal and interest, 1, ,  1 year = 12 months so 1 month = 12 �����,  1 year = 2 Half years = 4 third monthly, , Some Formulae:,  Simple Interest (SI) =, , � ×�×�, 100, ,  Amount = Principal + SI, , [P], [R], [T], [A]

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WORKSHEET, , Chapter 10 : Percentage and Its Applications, 1. Fill in the blanks :, (i) 0.25 expressed as a per cent = ............................... ., (ii) If 50% of a certain length is 50 cm, then the whole length is ............................... ., (iii) 1 : 4 expressed as a per cent = ............................... ., (iv) A profit of 10% means 10% out of ............................... ., (v) Loss per cent =, , Loss, × 100., ............, , (vi) 300 marks out of 400 is ...............................%., (vii) Amount = ............................... + ............................... ., (viii) If x% of 1225 = 375, then x = ............................... ., (ix) In a transaction, if there is a loss of 20%, then S.P. = C.P. – 20% of ............................... ., 2. Match the following :, Column A, , Column B, , (i) 25% of `50, , (a) `10, , (ii) 10% of `50 is added to `35, , (b) `900, , (iii) Fractional representation of 16.25%, , (c) 62%, , (iv), , 1, expressed as a per cent, 2, , (d) 100, , (v) If x% of 75 = 9, then x is equal to, , (e) 12, , (vi) 100% of 100, , (f) 50%, , (vii) 62 marks out of 100, expressed as a per cent, , (g), , (viii) If an item is sold for `990 at a profit of 10%, then its C.P. is, (ix) The interest on `200 at 5% per annum for 1 year, , 13, 80, (h) `40, , (i) `12.50, , 1