 # Quantitative Aptitude: Data Interpretation Set 5

Directions (1-5): Study the following table and answer the following:

 Products Sales (in lakhs) in 2012 Percentage growth in the sales over the previous years 2013 2014 2015 A 2 5 10 10 B 3 8 10 20 C 3.6 10 10 12 D 3 9 10 12
1. Find the difference between the sales of products A and B in the year 2015.
A) 154320
B) 173580
C) 143420
D) 185280
E) 165890
Option B
Explanation:

Sales of A in 2015 = 2 lacs × 105/100 × 110/100 × 110/100 = 254100
Sales of B in 2015 = 3 lacs × 108/100 × 110/100 × 120/100 = 427680
So difference = 427680 – 254100 = 173580
2. Find the ratio of sales of product C in 2014 to the sales of product D in 2015.
A) 875 : 654
B) 825 : 763
C) 962 : 744
D) 796 : 733
E) None of these
Option B
Explanation:

Sales of C In 2014 = 3.6 lacs × 110/100 × 110/100
Sales of D In 2015 = 3 lacs × 109/100 × 110/100 × 112/100
So ratio = 3.6 lacs × 110/100 × 110/100 : 3 lacs × 109/100 × 110/100 × 112/100
3. What is the percentage increase in sales of all the four products in 2014 as compared to 2012?
A) 14.22
B) 15.67
C) 20.97
D) 18.35
E) 19.19%
Option E
Explanation:

Sales of A in 2014 = 2 lacs × 105/100 × 110/100 = 231000
Sales of B in 2014 = 3 lacs × 108/100 × 110/100 = 356400
Sales of C in 2014 = 3.6 lacs × 110/100 × 110/100 = 435600
Sales of D in 2014 = 3 lacs × 109/100 × 110/100 = 359700
So total sales in 2014 = 1382700
Total sales in 2012 = 1160000
So % increase = (1382700 – 1160000)/1160000 * 100 = 19.19%
4. Of all the products, which product showed the highest percentage increase in total sales at the of 2015 in four years?
A) A
B) B
C) C
D) D
E) None of these
Option B
Explanation:

Sales of A in 2015 = 2 lacs × 105/100 × 110/100 × 110/100 = 254100
Sales of B in 2015 = 3 lacs × 108/100 × 110/100 × 120/100 = 427680
Sales of C in 2015 = 3.6 lacs × 110/100 × 110/100 × 112/100 = 487872
Sales of D in 2015 = 3 lacs × 109/100 × 110/100 × 112/100 = 402864
So
% increase in sales of product A = (254100-200000)/200000 * 100 = 27.05%
% increase in sales of product B = (427680-300000)/300000 * 100 = 42.56%
% increase in sales of product C = (487872-360000)/360000 * 100 = 35.52%
% increase in sales of product D = (402864-300000)/300000 * 100 = 34.28%
So maximum for B
5. If the ratio of defective to non-defective A products is 2 : 3 in 2012 while that of products C is 4 : 5 in same year, then what is the ratio of defective A products to non-defective B products in 2012?
A) 1 : 4
B) 4 : 7
C) 3 : 7
D) 2 : 5
E) 2 : 7
Option D
Explanation:

Number of defective A products in 2012 = 2/5 * 2,00,000 = 80,000
Number of non-defective C products in 2012 = 5/9 * 3,60,000 = 2,00,000
So required ratio = 80,000 : 2,00,000 = 2 : 5

Directions (6- 10): Study the following chart carefully and answer the questions that follow:
The chart shows the number of students in six 6 classes of 2 different schools ABC and XYZ. 1. What is the difference between the students of class II and IV in school ABC and the students of class I and V in school XYZ?
A) 90
B) 120
C) 80
D) 50
E) 110
Option C
Explanation:

II and IV in ABC = 280+620 = 900
I and V in XYZ = 320+660 = 980
2. What is the ratio of number of students in classes I and IV in school ABC to number of students in classes II and VI in school XYZ?
A) 23 : 56
B) 45 : 59
C) 43 : 55
D) 25 : 41
E) None of these
Option C
Explanation:

24+62 : 36+74
86 : 110
43: 55
3. Students in school ABC are approximately what percent lesser than students in school XYZ?
A) 15%
B) 27%
C) 33%
D) 12%
E) 22%
Option E
Explanation:

In ABC = 2280
In XYZ = 2920
Required % = (2920-2280)/2920 * 100
4. If from school ABC, 5% and 10% of students of classes IV and I respectively gets shifted to same respective classes in school XYZ, then find the average number of students in classes I and IV in school XYZ.
A) 429
B) 553
C) 467
D) 429
E) 534
Option C
Explanation:

From D = 5/100 * 620 = 31
From A = 10/100 * 240 = 24
So now in A and D in XYZ = 320+24 + 560+31 = 935
So average = 935/2 = 467.5
5. Students in class V in school ABC is what percent of the number of students in classes II and III together in school XYZ?
A) 64.78%
B) 68.75%
C) 75.75%
D) 99.35%
E) 102.55%
1. Kattula Kristu Raju