# Bar Diagram 58

Directions (1-5): The bar-graph given below shows the percentage distribution of the total production of a car manufacturing company into various models over two years. Study the graph carefully and answer the questions that follow.
Percentage of Six different types of Cars manufactured by a Company over two years

Q6. Total number of cars of models P, Q and T manufactured in 2000 is:
(a) 2,45,000
(b) 2,27,500
(c) 2,10,000
(d) 1,92,500
(e) 1,57,500
Q7. For which model the percentage rise/fall in production from 2000 to 2001 was minimum?
(a) Q
(b) R
(c) S
(d) T
(e) U
Q8. What was the difference in the number of Q type cars produced in 2000 and that produced in 2001?
(a) 35,500
(b) 27,000
(c) 22,500
(d) 17,500
(e) 16,000
Q9. If the percentage production of P type cars in 2001 was the same as that in 2000, then the number of P type cars produced in 2001 would have been:
(a) 1,40,000
(b) 1,32,000
(c) 1,17,000
(d) 1,05,000
(e) 97,000

Q10. If 85% of the S type cars produced in each year were sold by the Company, how many S type cars remained unsold?
(a) 7650
(b) 9350
(c) 11,850
(d) 12,250
(e) 13,350

S1. Ans.(c)
Sol. We shall first determine the number of cars of each model produced by the Company during the two years:
In 2000: Total number of cars produced = 3,50,000.
P = (30 – 0)% of 3,50,000 = 30% of 3,50,000 = 1,05,000
Q = (45 – 30)% of 3,50,000 = 15% of 3,50,000 = 52,500
R = (65 – 45)% of 3,50,000 = 20% of 3,50,000 = 70,000
S = (75 – 65)% of 3,50,000 = 10% of 3,50,000 = 35,000
T = (90 – 75)% of 3,50,000 = 15% of 3,50,000 = 52,500
U = (100 – 90)% of 3,50,000 = 10% of 3,50,000 = 35,000.
In 2001: Total number of cars produced = 4,40,000.
P = (40 – 0)% of 4,40,000 = 40% of 4,40,000 = 1,76,000
Q = (60 – 40)% of 4,40,000 = 20% of 4,40,000 = 88,000
R = (75 – 60)% of 4,40,000 = 15% of 4,40,000 = 66,000
S = (85 – 75)% of 4,40,000 = 10% of 4,40,000 = 44,000
T = (95 – 85)% of 4,40,000 = 10% of 4,40,000 = 44,000
U = (100 – 95)% of 4,40,000 = 5% of 4,40,000 = 22,000
Now, we shall solve the questions.
Total number of cars of models P, Q and T manufactured in 2000
= (105000 + 52500 + 52500) = 2,10,000.
S2. Ans.(b)
Sol. Using the above calculation, the percentage change (rise/fall) in production from 2000 to 2001 for various model is:
∴ Minimum percentage rise/fall in production is in the case of model R.
S3. Ans.(a)
Sol. Required difference = 88000 – 52500 = 35500
S4. Ans.(b)
Sol. If the percentage production of P type cars in 2001 = percentage production of P type cars in 2000 = 30%
Then, number of P type cars produced in 2001 = 30% of 440000 = 132000.
S5. Ans.(c)
Sol. Number of S type cars which remained unsold in 2000 = 15% of 35000
and number of S type car which remained unsold in 2001 = 15% of 44000
∴ Total number of S type cars which remained unsold
= 15% of (35000 + 44000) = 15% of 79000 = 11850.