Directions: Study the following information carefully and answer the questions. The given pie chart shows the percentage distribution of the total number of plants (neem, mango and banyan) planted in five different years i.e. 1991, 1992, 1993, 1994 and 1995.
1) The total number of plants planted in 1991 and 1995 together is how much more than the total number of plants planted in 1994?
a) 360
b) 210
c) 450
d) 320
e) None of these
Sol:
The total number of plants planted in 1991 and
1995 together = 765 + 945 = 1710
Required difference = 1710 – 1350 = 360
2) Find the ratio of the total number of plants planted in 1994 to the total number of plants planted in 1991 and 1992 together?
a) 8:3
b) 12:7
c) 9:5
d) 10:13
e) None of these
Sol:
The total number of plants planted in 1991 and
1992 together = 765 + 990 = 1755
Required ratio = 1350:1755 = 10:13
3) If the ratio of the number of neem, mango and banyan plants planted in 1995 is 2:4:1 respectively, then find the difference between the total number of neem and banyan plants planted in 1995 and the number of mango plants planted in the same year?
a) 155
b) 135
c) 175
d) 115
e) None of these
sol:
The total number of neem and banyan plants
planted in 1995 = 945 * (2 + 1)/(2 + 4 + 1) = 945
* 3/7 = 405
The number of mango plants planted in 1995 =
945 – 405 = 540
Required difference = 540 – 405 = 135
4) If the total number of plants planted in 1996 is 6/11th of the total number of plants planted in 1992, then find the average number of plants planted in 1994 and 1996 together?
a) 945
b) 630
c) 880
d) 720
e) None of these
Sol:
The total number of plants planted in 1996 = 990
* 6/11 = 540
Required average = (540 + 1350)/2 = 1890/2 =
945
5) If the number of neem and mango plants planted in 1993 is 60 more and 90 more than the number of banyan plants planted in the same year, the number of banyan plants planted in 1993 is what percentage less than the number of neem plants planted in 1993?
a) 12.5%
b) 45%
c) 37.5%
d) 21%
e) None of these
Sol:
Let the number of banyan plants planted in 1993
= x
And the number of mango plants planted in 1993
= x + 90
And the number of neem plants planted in 1993
= x + 60
x + x + 90 + x + 60 = 450
3x = 450 – 150
x = 300/3
x = 100
The number of banyan plants planted in 1993 =
100
The number of neem plants planted in 1993 =
100 + 60 = 160
Required percentage = (100 – 160)/160 * 100 = –
60/160 * 100 = 37.5%
