# Aptitude Questions: Data Interpretation Set 38

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Questions Penned by Yogit

Q(1 –4) study the following pie charts and answer the following questions:

 Village % of population below poverty line P 45 Q 52 R 38 S 58 T 46 U 49 W 51 1. In 2001, the population of town P and Q are increased by 10 percent from the year 2000, If the population of town P in 2000 was 5000. Find the population of town Q below poverty line in 2001?
a) 3560
b) 3500
c) 3510
d) 3520
e) None of these
Answer – d) 3520
Explanation :
Let total population of all town be P,
then (13/100)*P = 5000 (population of P in 2000) so, P = 5000*100/13
now population of Q in 2000 = (16/100)*P and population of Q in 2001 = (110/100)*(16/100)*P
and population below poverty line in 2001  =  (52/100)*(110/100)*(16/100)*P = 3520

2. In 2001, if the population of town S and town W are increased and decreased by 10% and 5% respectively from 2000 and the population of W in 2000 was 9000, what is the total population of town S and W in 2001?
a) 19770
b) 18770
c) 17770
d) 21770
e) None of these
Answer – a) 19770
Explanation :
Let total population of all town be P, then (15/100)*P = 9000, P = 60000
now population of town S in 2001, (110/100)*60000 = 11220
and population of town W in 2001, (95/100)*60000 = 8550

3. If in 2000 if the total population of the entire seven towns together is 50000, then what will be the population of town U below poverty line in that year
a) 2185
b) 3085
c) 3185
d) 4135
e) None of these
Answer – c) 3185
Explanation :
50000*13/100*49/100 = 3185

4. If the population of town R below poverty line in 2000 was 1520, what was the population of village T in 2000?
a) 7000
b) 8000
c) 9000
d) 10000
e) None of these
Answer – c) 9000
Explanation :
1520 = P*8/100*38/100, P = 50000
so population of T = 18/100*50000 = 900

Q(5 -10) Study the following graph and answer the following: –
Cost of total production (both items together) by seven companies = rupees 25 crore Ratio of production between item A and B and the percent profit earned for the two items

 Company Ratio of production Percent profit earned ITEM A ITEM B ITEM A ITEM B P 2 3 25% 20% Q 3 2 325 35% R 4 1 20% 22% S 3 5 15% 25% T 5 3 28% 30% U 1 4 35% 25% W 1 2 30% 24%
1. What is the total cost of production of item A by company P and R together?
a) 3.9
b) 4.9
c) 5.9
d) 6.9
e) None of these
Answer – c) 5.9
Explanation :
25*15/100*2/5 = 1.5 (for company P) and 25*22/100*4/5 = 4.4 (for company R)
so total = 5.9 cr

2. Cost of production of item A by company U is what percent of the cost of production of item B by company S?
a) 10%
b) 15%
c) 16.67%
d) 33.33%
e) None of these
Answer – e) None of these
Explanation :
For company U = 25*5/100*1/5 and for company S = 25*8/100*5/8
% percent = [25*5/100*1/5]/ [25*8/100*5/8] = 1/5*100 = 20%

3. What is the total profit earned by company W for items A and B together?
a) 78 lakh
b) 1.62 cr
c) 7.8 lakh
d) 68 lakh
e) None of these
Answer – a) 78 lakh
Explanation :
For item A cost of production = 25*12/100*1/3 = 1 crore and for item B it is 2 crore.
Now profit earned on A = 1*130/100 – 1 = 0.3 crore and profit earned on B = 2*124/100- 2 = 0.48 crore. Total profit = 0.3 + 0.48 = 0.78 crore or 78 lakh

4. What is the ratio of the cost of production of item A by company P to the cost of production of item A by company S?
a) 1:2
b) 1:3
c) 3:1
d) 2:1
e) None of these
Answer – d) 2:1
Explanation :
ratio = 25*15/100*2/5 : 25*8/100*3/8 = 2:1

5. What is the amount of profit earned by company S on item B? (approx.)
a) 21 lakh
b) 28 lakh
c) 31 lakh
d) 35 lakh
e) None of these
Answer – c) 31 lakh
Explanation :
(8/100)*25*(5/8) = 1.25 crore
1.25*(125/100) = 1.56 crore, profit = 1.56 – 1.25 = 31 lakh

6. What is the cost of production of item A by company P, Q and S together?
a) 2.90cr
b) 3.90cr
c) 4.10cr
d) 4.40cr
e) None of these
Answer – b) 3.90cr
Explanation :
25*(15/100*2/5 + 11/100*3/5 + 8/100*3/8) = 3.90cr

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