Pie Chart 79

Directions (1-5): Go through the data given below and solve the questions based on it.
2,000 students secured admissions into the 2-year MBA programme beginning in 1997. Figure A given below provides the educational background of this batch of students. The same batch of students graduated in 1999 and had opted for different specializations as indicated in figure B given below. All the students who secured admission in 1997 passed out in 1999.

 

Figure A: When they entered in 1997
Figure B: When they left in 1999
Note: 20% of Engineers and 10% of (Science + Commerce) students were with some work experience before joining MBA programme. All others students were without work experience.
Q1. 40% of students with work experience specialized in Marketing. How many students with specialization in Marketing are without work experience?
(a) 352
(b) 396
(c) 440
(d) 88
(e) None of these
Q2. If 50% of engineers specialized in Systems, how many non-engineers specialized in Systems?
(a) 360
(b) 0
(c) 100
(d) 160
(e) None of these
 
Q3. What is the difference between the number of students specializing in Finance in 1999 and the number students who had CA or Commerce background?
(a) 500
(b) 480
(c) 20
(d) 40
(e) None of these
 
Q4. 24% of students of graduating class in 1998 specialized in finance. Find the % increase in the number of students specializing in finance from 1998 to 1999.
(a) 1%
(b) 100/24%
(c) 3%
(d) Cannot be determined
(e) None of these
 
Q5. 30% of Engineers and 40% of Commerce students specialized in Finance. The remaining students who specialized in finance were Science graduates. What percentage of Science graduates opted for finance?
(a) 24.66%
(b) 34.44%
(c) 38.68%
(d) Cannot be determined
(e) None of these

Answer & Explanation

S1. Ans.(a)
Sol. Students with work experience
= 36% × 20% × 2000 + 10% [38% of 2000]
= 2000 × [36% × 20% + 38% × 10%] = 220
Now marketing students with work experience = 40% of 220 = 88
So, total marketing students = 22% of 2000 = 440
So, Marketing students without work experience = 440 – 88 = 352
S2. Ans.(b)
Sol. Number of students specializing systems = 360
Number of engineers specializing systems = 36/100×50/100× 2000 = 360
So, number of non-engineers specializing systems = 0
Alternatively, this question can be done by seeing only the percentage values too.
S3. Ans.(c)
Sol. Number of students specializing in finance = 25% of 2000 = 500
Total number of CA or commerce students
= (20 + 4) % of 2000 = 480
Difference = 500 – 480 
= 20
S4. Ans.(d)
Sol. Since total number of students doing graduation in 1998 in not known, this question cannot be answered.
S5. Ans.(b)
Sol. Number of engineers who specialized in finance = 30% × 36% × 2000 = 216
Number of commerce students who specialized in finance = 40% × 20% × 2000 = 160
So, number of Science graduates specializing in finance = (25% of 2000) – 216 – 160 = 124
∴ % of Science students specializing in finance

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