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

Answer & Explanation

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.

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