Directions (1 – 5): Study the following Graph carefully and answer the questions given below:
Units of Raw Material Manufactured and Sold by a Company Over the Years (Units in Crores)
1. What is the average number of units sold over the years ?

A. 440000000 B. 4400000 C. 440000 D. 44000000 E. None of these

Answer: Option D
Explanation: Average number of sold units = [ [latex]\frac{3.5 + 4 + 5 + 3 + 6.5}{5}[/latex]] crores = [latex]\frac{22}{5}[/latex] ⇒ 4.4 crores ⇒ 44000000
2. What is the respective ratio of the difference between the number of units manufactured and sold in the year 2013 to the difference between the number of units manufactured and sold in the year 2014 ?

A. 2 : 3 B. 1 : 2 C. 1 : 4 D. 3 : 5 E. None of these

Answer: Option C
Explanation: STEP 1: Number of units manufactured and sold in the year 2013 = ( 5.5 – 5 ) crore = 0.5 crore STEP 2: Number of units manufactured and sold in the year 2014 = ( 5 – 3 ) crore = 2 crore Required ratio = 0.5 : 2 ⇒ 5 : 20 ⇒ 1 : 4
3. What is the respective ratio of the number of units manufactured in the year 2011 to the number of units manufactured in the year 2015 ?

A. 7 : 11 B. 9 : 14 C. 7 : 9 D. 9 : 11 E. None of these

Answer: Option B
Explanation: STEP 1:Required ratio = 4.5 : 7 ⇒ 45 : 70 ⇒ 9 : 14
4. What is the approximate percent increase in the number of units sold in the year 2015 from the previous year ?

A. 190 B. 70 C. 60 D. 95 E. 117

Answer: Option E
Explanation: STEP 1: Increase = 6.5 – 3 ⇒ 3.5 crore STEP 2: Increase % = [latex]\frac{35}{3}[/latex] x 100 ⇒ 117
5. What is the difference between the number of units manufactured and the number of units sold over the years?

A. 50000000 B. 5000000 C. 500000000 D. 500000 E. None of these

Answer: Option A
Explanation: STEP 1: Number of sold units = 22 crore STEP 2: Number of manufacturing units = (4.5 + 5 + 5.5 + 5 + 7) crore = 27 crore STEP 3: Required Difference = (27 – 22) crore ⇒ 5 crore ⇒ 50000000

Directions (1 - 5): Study the following table carefully to answer the questions that follow.
The table shows the income and expenditure in lakhs of A and B in five different years. Note- profit = Income - expenditure Profit% =[latex]\frac{profit}{expenditure}[/latex] × 100

1. If the percentage profit of A in year 2011 is 20% then his expenditure is by how much percent (approximately) more or less than that of A in year 2014?

A. 11% more B. 18% less C. 8% less D. 13% less E. 22% more

Answer: Option D
Explanation: Expenditure of A in 2011 =[latex]\frac{510}{1.2}[/latex] = 425 lakh ∴ Required percentage =[latex]\frac{490 − 425}{490}[/latex] × 100 ≈ 13% less
2. In year 2014, A expended 10 lakh more than B. Find what is the approximate percentage profit of B in the same year?

A. 23% B. 25% C. 35% D. 20% E. 27%

Answer: Option A
Explanation: Required percentage profit =[latex]\frac{590 − 480}{480}[/latex] × 100 ≈ 23%
3. What was the average income amount (in lakh) of A and B together in year 2013 if percentage profit earned by A was 16% and that of B was 17%?

A. 436.9 B. 438.2 C. 408.8 D. 440.9 E. 456.9

Answer: Option A
Explanation: Income of A in 2013 =[latex]\frac{16×370}{100}[/latex] + 370 = 429.2 lakh Income of B in 2013 =[latex]\frac{17×380}{100}[/latex] + 380 = 444.6 lakh ∴ Average income =[latex]\frac{873.8}{2}[/latex] = Rs. 436.9 lakh
4. If in year 2015 A earns a profit of 30 lakh, then his expenditure is approximately what percent of income of A in year 2012?

A. 82 B. 78 C. 80 D. 86 E. 92

Answer: Option D
Explanation: Required percentage = [latex]\frac{515 - 30}{550}[/latex] × 100 ≈ 86%
5. Income of A in year 2012 is by how much percent more than profit of A in 2014? (approximately)

A. 520% B. 511% C. 490% D. 481% E. 610%

Answer: Option B
Explanation: Required percentage = [latex]\frac{550 - 90}{90}[/latex] × 100 ≈ 511%

Study the following Pie chart to answer the below Questions:

1. The central angle for the sector on “Paper-Cost” is.

A. [latex]\frac{221}{2}[/latex]° B. 16° C. 54.8° D. 36°

Answer: Option D
Explanation: Sol. [latex]\frac{10}{100}[/latex] × 360 = 36°
2. If the ‘Printing-Cost is Rs. 17500, the royalty paid is

A. Rs. 8750 B. Rs. 7500 C. Rs. 3150 D. Rs. 6300

Answer: Option B
Explanation: x × 35% = 17500 x × [latex]\frac{35}{100}[/latex] = 17500 x = 50000 Royalty = 50000 × [latex]\frac{15}{100}[/latex] = 7500
3. If the “miscellaneous expenses” are Rs. 6000. How much more are “binding and cutting charges than “Royalty”?

A. Rs. 6000 B. Rs. 5500 C. Rs. 4500 D. Rs. 10500

Answer: Option C
Explanation: x × [latex]\frac{4}{100}[/latex] = 6000 x = 150000 = 150000 × [latex]\frac{(18 – 15)}{100}[/latex] = 4500/-
4. The central angle corresponding to the sector on “Printing Cost” is more than that of “Advertisement Charges” by:

A. 72° B. 61.2° C. 60° D. 54.8°

Answer: Option B
Explanation: [latex]\frac{(35 - 18)}{100}[/latex] × 360° = 61.2°
5. The “Paper Cost” is approximately what percent of “Printing Cost”?

A. 20.3% B. 28.6% C. 30% D. 32.5%

Answer: Option B
Explanation: [latex]\frac{10}{35}[/latex] × 100 = 28.6%