BANK & INSURANCE (DATA INTERPRETATION) PART 2

Total Questions: 100

1. Directions [1-5]: The following graph gives the percentage distribution of lions in seven national parks in a country. There are two species of lions: white and brown. The table that follows gives the percentage of brown lions out of the total number of lions in each park and the ratio of male and female brown lions.

The total number of lions in all the parks = 4800

Percentage distribution of lions

National Park

Percentage of brown lions

Male: Female (Brown lions)

A

75%

3:4

B

33.33%

1:3

C

66.66%

5:2

D

87.5%

4:5

E

100%

3:5

F

70%

4:3

G

64%

1:2

 

Ques: Few white lions from parks B and G are transferred to park E such that the ratio of white lions to brown male lions in park E now is 7:9 respectively. What percentage of white lions of park B were transferred to park E if 40 white lions had been transferred from park G?

Correct Answer: (c) 29.86%
Solution:

From both the graphs, we tabulate all the data regarding the lions:

National Park

Total no. of lions

Brown lions

Brown Male lions

Brown Female lions

White lions

A

1008

756

324

432

252

B

432

144

36

108

288

C

672

448

320

128

224

D

576

504

224

280

72

E

432

432

162

270

0

F

480

336

192

144

144

G

1200

768

256

512

432

Total

4800

3388

1514

1874

1412

Ratio of white lions to brown male lions in park E = 7 : 9
So, white lions in park E = (7/9) × 162 = 126
Now, B + G = 126
So, white lions from B = 126 - 40 = 86
Hence, required percentage = (86/288) × 100%
= 29.86%

2. What is the average number of female white lions in parks B, C and F if the respective ratio of male to female white lions in these parks is 1:1, 5:3 and 1:5 respectively?

Correct Answer: (a) 116
Solution:

White lions:
Male : female in B = 1 : 1
So, no. of female white lions in B = (1/2) × 288 = 144

Male : female in C = 5 : 3
So, no. of female white lions in C = (3/8) × 224 = 84

Male : female in F = 1 : 5
So, no. of female white lions in F = (5/6) × 144 = 120

So, required average = (144 + 84 + 120)/3
= 116

3. What is the respective ratio of the total number of brown male lions in parks A, E and G together to that of white lions in the parks A, B, C, D and F?

Correct Answer: (d) 53:70
Solution:Brown male lions in A, E and G = 324 + 162 + 256 = 742
White lions in A, B, C, D and F = 1412 - 432 = 980
So, required ratio = 742 : 980 = 53 : 70

4. What is the difference between the average number of brown female lions in parks B, C and D and the average number of white lions in parks A, D, E, F and G?

Correct Answer: (a) 8
Solution:

Brown female lions in parks B, C and D
= 108 + 128 + 280 = 516
So, average = 516/3 = 172

White lions in parks A, D, E, F and G = 1412 - 288 - 224 = 900
So, average = 900/5 = 180

Hence, the required difference = 180 - 172 = 8

5. 50 brown male lions and 25 brown female lions died in park C while 26 brown male lions and 39 brown female lions died in park F. What is the percentage decrease in the number of brown lions in these two parks together?

Correct Answer: (e) 17.85%
Solution:

Total no. of deaths = 50 + 25 + 26 + 39 = 140
So, total no. of brown lions prior to the deaths
= 448 + 336 = 784
So, required percentage = (140/784) × 100%
= 17.85%

6. Directions (6-10): The line graph shows the number of products sold by shops A, B and C and the bar graph shows the revenue earned (in lakhs) by selling the products by shops A, B and C. Data for five years is given.

Ques : What is the difference between the highest and the lowest average selling price of a product across 3 shops through all 5 years?

Correct Answer: (b) Rs 350
Solution:

Average selling price of a product = Revenue/sales
Calculating and tabulating the data:
Revenue is in Rs lakhs and Average price is in Rs.

Shop A

Shop B

Shop C

Sales

Revenue

Average price

Sales

Revenue

Average price

Sales

Revenue

Average price

2014

4500

13.5

300

3500

14

400

4000

14

350

2015

5000

12.5

250

6000

21

350

4500

13.5

300

2016

7500

30

400

6500

19.5

300

9000

36

400

2017

8000

12

150

7000

17.5

250

8500

42.5

500

2018

10000

20

200

12000

18

150

9000

22.5

250

Highest average selling price = Rs 500 [Shop C in 2017]
Lowest average selling price = Rs 150 [Shop A in 2017 or shop B in 2018]
Required difference = 500 - 150 = Rs 350

7. If, in 2019 from that in 2018, shop A increases the average selling price by 25%, shop B increases that by 20% and shop C increases that by 30% and shops A, B and C sell 14000, 12000 and 11000 products respectively, what would be sum of their revenues?

Correct Answer: (b) Rs 92.35 lakh
Solution:Revenue of shop A in 2019
= (125/100) × 200 × 14000 = Rs 35 lakh
Revenue of shop B in 2019
= (120/100) × 150 × 12000 = Rs 21.6 lakh
Revenue of shop C in 2019
= (130/100) × 250 × 11000 = Rs 35.75 lakh
Sum of their revenues = 35 + 21.6 + 35.75
= Rs 92.35 lakhs

8. If, in 2017, the revenue of shop A was Rs 80,000 more, revenue of shop B was Rs 3.5 lakh less and revenue of shop C was Rs 4.25 lakh less, what would be the average of the average price of a product for the 3 shops if sales of all 3 shops remains constant?

Correct Answer: (e) Rs 270
Solution:

(a) Rs 300
(b) Rs 180
(c) Rs 210
(d) Rs 360
(e) Rs 270

Average price of a product for shop A
= (1280000)/8000 = Rs 160
Average price of a product for shop B
= (17.5 - 3.5) × 10⁵ / 7000 = Rs 200
Average price of a product for shop C
= (42.5 - 4.25) × 10⁵ / 8500 = Rs 450
Required average = (160 + 200 + 450)/3
= Rs 270

9. What is the ratio of the difference between the average price of a product between shops B and A in 2014 to the difference between the average price of a product between shops B and C in 2015?

Correct Answer: (c) 2:1
Solution:

Required ratio = (400 - 300) : (350 - 300) = 2 : 1

10. The sum of the average price of a product from shop B and C in 2014 is what percent greater than the sum of the average price of a product from shop A and B in 2015?

Correct Answer: (d) 25%
Solution:

sum of the average price of a product from shop B and C in 2014 = 400 + 350 = Rs 750
sum of the average price of a product from shop A and B in 2015 = 250 + 350 = Rs 600
Required percentage = ((750 - 600)/600) × 100%
= 25%