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Read the following graph carefully and answer the question given below.
The first pie chart shows the distribution of students who participated from different states Delhi, Bihar, UP, Odisha and Punjab in five games Hockey, Cricket, T.T, Tennis and Shooting. The second pie chart shows the distribution of students who participated in different five games Hockey, Cricket, T.T, Tennis and Shooting from states.
Total participants = 4800
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Find the % of students from given two states who won the prizes as 70% of students from Punjab and 75% of students from UP do not won any prizes?
Who won prizes from Punjab = 30% of 20% of 4800 = 288 Who won prizes from UP = 25% of 14% of 4800 = 168 So total from these two states who won prizes = 288+168 = 456 Total students who participated from these 2 states = (20+14)% of 4800 = 1632 So required % = 456/1632 × 100 = 28%
Find how much percent of students from Odisha participated in Shooting if a total of 552 students from Delhi, Bihar, UP and Punjab participated in Shooting?
Number of students who participated in shooting = 18% of 4800 = 864 So number of students from Odisha who participated in shooting = 864 – 552 = 312 Number of students who participated from Odisha = 26% of 4800 = 1248 So required% = 312/1248 × 100 = 25%
Find the number of students from Odisha who participated in Tennis as in Tennis, 25% of students from Bihar participated, 25% students more than from Bihar participated from UP and ratio of students who participated from Delhi, Odisha and Punjab is 4 : 6 : 5.
Who participated in Tennis = 32% of 4800 = 1536 Students from Bihar who participated in Tennis= 25% of 18% of 4800 = 216 Students from UP who participated in Tennis= 125% of 216 = 270 So who participated from states Delhi, Odisha and Punjab = 1536 – (216+270) = 1050 From Delhi : Odisha : Punjab is 4 : 6 : 5 So 4x + 6x + 5x= 1050 Solve, x = 70 So from Odisha = 6x = 6 × 70 = 420
Find the number of students from Bihar who took part in Cricket given they are 78 less than the average number of students participated from all states in Cricket as from Delhi and Odisha, no one took part in Cricket.
Number of students who participated in cricket = 14% of 4800 = 672 Now no one from Delhi and Odisha participated in cricket, so average of students from each state = 672/3 = 224 (i.e. from Bihar, UP and Punjab) So number of students who participated from Bihar = 224 – 78 = 146
What percent of students who participate in T.T are from Delhi as 25% of students from Delhi participate in T.T.?
Number of students from Delhi who participated in T.T = 25% of 22% of 4800 = 264 Total Number of students who participated in T.T = 12% of 4800 = 576 So required % = 264/576 × 100 = 46%
The following line graph shows the percentage profit of HCL and the percentage loss of IBM over the years. Answer the following questions based on this information.
What is the profit of HCL in the year 1978 and 1980 together as the expenditure of HCL in the year 1978 and 1980 are Rs. 55 lakh and Rs. 35 lakh respectively.
Profit of HCL in 1978 = 55 × 24/100 = 13.2 lakh Profit of HCL in 1980 = 35 × 48/100 = 16.8 lakh ∴ Total profit = 13.2 + 16.8 = 30 lakh
What is the percentage increase in the percentage profit of HCL from year 1978 to 1979?
What is the ratio of the income of IBM in year 1980 to the income of HCL in year 1982 as the expenditure of HCL in the year 1982 and IBM in the year 1980 are equal.
Let their Expenditure be x each.
What is the difference between HCL’s expenditures in the year 1981 and 1977 as the incomes of HCL in the year 1977 and 1981 are equal and its Rs. 84 lakh each.
What is the difference between the income of HCL and the income of IBM in 1978 as the expenditures of HCL and IBM are equal in the year 1978, and its 75 lakh each.
Income of HCL = 75 + 75 × 24/100 = 93 lakh Income of IBM = 75 − 75 × 16/100 = 63 lakh ∴ Difference = 93 – 63 = 30 lakh
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