**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.