Line Graphs

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Ex. Number of hotels in a state, according to years are given ( Study the given chart carefully and then answer the questions accordingly ) Q(1) The approximate % increase in hotels from year 1989 to 1994 was (a) 75         (b) 100          (c) 125         (d) 150         (e) 175 Solution : Option (b) is correct Q(2) If the number of newly made hotels in 1991 was less by 10 then what is the ratio of the number of hotels in 1991 and that in 1990 ? (a) 14 : 11         (b) 3 : 4          (c) 4 : 5         (d) 5 : 4         (e) 1 : 4 Solution : No of hotels in 1991 will be 570 - 10 = 560 Option (a) is correct Q(3) If the % increase in the number of hotels from 1993 to 1994 continued up to 1995 then what is the number of hotels built in 1995 ? (a) Minimum 75      (b) Minimum 70       (c) Minimum 50      (d) Minimum 139      (e) Minimum 80 Solution : First find % increase in 1994 from 1993 Now 18 % of 838 = 150 So, nearest option is (d) Minimum 139 hotels Q(4) In which of the given years increase in hotels in comparison to the previous year is the maximum ? (a) 1990         (b) 1991          (c) 1992         (d) 1993         (e) 1994 Solution : So option (b) is correct Q(5) If increase in hotels from 1991 to 1992 is P % and increase in hotels from 1992 to 1994 is Q % , then which of the following relations between P and Q is true ? (a) Data is inadequate         (b) P < Q          (c) P = Q         (d) P > Q         (e) None of these Solution : P % = 24.56 % from question (4) Q % = 18.05 % So P > Q, option (d) correct Ex. % profit earned by two companies over the years is given in graph. Also Ex. If the expenditure of Company B in 2000 was Rs. 200 crores, what was its income ? (a) Rs. 240 crores        (b) Rs. 220 crores        (c) Rs. 160 crores        (d) Can not be determined        (e) None of these. Solution : Let income be Rs x crores so, we can use the above formula as 40 = x - 200 x= 240 crores Ex. If the income of company A in 2002 was Rs. 600 crores. What was its expenditure ? (a) Rs. 360 crores (b) Rs. 480 crores (c) Rs. 375 crores (d) Can not be determined (e) None of these. Solution : For company A in 2002 % profit was 60 % , Let expenditure be x crores , so Ex. If the income of a company B in 1998 was Rs. 200 crores, what was its profit in 1999 ? (a) Rs. 21.5 crores (b) Rs. 153 crores (c) Rs. 46.15 crores (d) Can not be determined (e) None of these. Solution : Profit can be calculated only when Income and expenditure of the given year should be known. So, option (d) is correct Ex. If the Incomes of the two companies in 1998 were equal, what was the ratio of their Expenditure ? (a) 1 : 2        (b) 26 : 27        (c) 100 : 67        (d) Can not be determined        (e) None of these. Solution : Let, the income of both companies be P, expenditure of A is E1 and expenditure of B is E2 Now we can write, So, option (b) is correct Ex. What is the % increase in % profit for company B from year 2000 to 2001 ? (a) 75        (b) 175        (c) 42.86        (d) Can not be determined        (e) None of these. Solution :