four different years i.e.1991, 1992, 1993 and 1994. Total production of groundnut in all four years is 410 kg more than that of sesame. Ratio of total production of groundnut in 1993 and 1994 is 3:2 respectively. Total production of groundnut in 1991 and 1992 is 100 kg less and 50 kg more than that of 1993 respectively. In 1994, the ratio of total production of groundnut to sesame was 3:2 respectively. Total production of sesame in 1993 is 25% more than that of 1994 and total production of sesame in 1991 is 100 kg. Total production of groundnut in 1992 is two times the total production of sesame in the same year.

1) Find the ratio of total production of sesame in 1993 and 1994 together to the total production of groundnut in 1993.

A.5:3

B.7:6

C.1:1

D.4:9

E.None of these

2) If the average production of groundnut in 1992 and 1995 together is 80 more than total production of sesame in 1992, then find the difference between total production of groundnut in 1995 and 1993.

A.110 kg

B.270 kg

C.410 kg

D.330 kg

E.None of these

3) Total production of groundnut and sesame in 1991 is how much percentage more than total production of groundnut in 1994?

A.70%

B.50%

C.20%

D.60%

E.None of these

4) Out of the total production of groundnut and sesame in 1991, 80% and 74% are sold, then find the difference between total production of groundnut and sesame in 1991 are unsold.

A.1 kg

B.6 kg

C.8 kg

D.7 kg

E.None of these

5) Find the average production of sesame in 1992 and 1994 together.

A.120 kg

B.180 kg

C.160 kg

D.140 kg

E.None of these

 

Explanation :

Total production of sesame in 1991=100 kg

Total production of groundnut in 1994=2x

Total production of groundnut in 1993=3x

Total production of groundnut in 1992=3x+50

Total production of groundnut in 1991=3x-100

Total production of sesame in 1994=2x*2/3=4x/3

Total production of sesame in 1993=4x/3*125/100=5x/3

Total production of sesame in 1992=(3x+50)/2

2x+3x+3x+50+3x-100-[100+4x/3+5x/3+(3x+50)/2]=410

11x-150-9x/3-(3x+50)/2=410

39x=3510

x=90

Total production of groundnut in 1991=3*90-100=170 kg

Total production of groundnut in 1992=3*90+50=320 kg

Total production of groundnut in 1993=3*90=270 kg

Total production of groundnut in 1994=2*90=180 kg

Total production of sesame in 1992=320/2=160 kg

Total production of sesame in 1993=5*90/3=150 kg

Total production of sesame in 1994=4*90/3=120 kg

1) Answer: C

Total production of sesame in 1993 and 1994=150+120=270 kg

Required ratio=270:270=1:1

2) Answer: A

Total production of groundnut in 1992 and 1995=(160+80)*2=480 kg

Total production of groundnut in 1995=480-320=160 kg

Required difference=270-160=110 kg

3) Answer: B

Required percentage=(270-180)/180*100=90/180*100=50%

4) Answer: C

Required difference=170*20/100-100*26/100=34-26=8 kg

5) Answer: D

Required average=(160+120)/2=140 kg