QUANTITATIVE APTITUDE - DATA INTERPRETATION  FOR UPCOMING EXAMINATION 

Directions (Q1- 5):  Study the graph carefully to answer the questions that follow :

Income (in lakh Rs. ) of Three companies over the years :

Question.1. The average income per year for company A is approximately what percent of the average income per year for company C ?

1. 71.6

2. 67.5 
3. 148.15
4. 123.4
5. None of these

Question.2. If the per cent profit of company A in the year 2006 was 50, what was its  expenditure in that year ?

1. 20 Lakh

2. 25  lakh

3. 15 lakh

4. 12.5 lakh

5. None of these

Question.3. In which of the following year percentage rise/fall in income of company B was highest ?

1. 2006

2. 2007

3. 2008

4. 2009

5. 2010

Question.4. What is approximate percent increase in income of company C in year 2007 from the previous year ?

1. 10 %

2. 111 %

3. 11 %

4. 90 %

5. None of these

Question.5. If the expenditure of company B in 2007 was Rs.15 lakh, What was its percent profit in that year ? (Rounded off to two digits after decimal)

1. 57.14%

2. 137.33%

3. 62.13%

4. 133.33%

5. None of these

Directions (Q.6- 10): :Answer the questions on the basis of the information given below:

The table given below shows the various costs (in Rs. thousand/tonne), incurred in the cultivation of five different crops and their selling prices (in Rs. thousand/tonne).

Question.6. The profit percentage per tonne is highest for which of the following commodities?

1) Wheat

2) Rice

3) Bajra

4) Cotton

5) Mustard seeds

Question.7. The ratio of the fertilizer cost to the total production cost is lowest for which of the following commodities?

1) Mustard seeds

2) Cotton

3) Wheat

4) Bajra

5) Rice

Question.8. If both the fertilizer cost and transportation cost of rice increased by 25% and the selling price remains the same, then by how much percentage points the new  profit percentage for rice is less than that of the previous one?

1) 2.5

2) 7.5

3) 5

4) 10

5) None of these

Question.9. If the cost per liter of water is `7, then what is the amount of water (in liters) used in the irrigation of one tonne each of the five commodities together?

1) 12000

2) 13500

3) 6500

4) 13000

5) None of these

Question.10. If one kilogram of a raw material of cotton costs 54 and 20 kg of raw material is sown in an area of 1000 m2 of land, then what is the area (in m2) of land under cultivation for one tonne of cotton?

1) 50000

2) 5050

3) 25000

4) 5000

5) None of these

SOLUTION

1. Req % = [Average income/year for company A]/[Average income/year for company C] = ([135/6]/[200/6]) x 100 = 67.5%

2. Let the expenditure was x lakhs
So,50 = 30-x/x * 100 
x = 20 lakhs

3. In 2007, rise % = 35-10/10 * 100 = 250 %

4. Req % = (50-45)/45 x 100 = 11.11% ≈ 11%

5 Req % profit = (35-15)/15 x 100 = 133.33%

6.

Profit percentage per tonne for :

Wheat = 33.33% Approx

Rice = 20%

Bajra = 19.05 % Approx

Cotton = 9.375 %

Mustard Seeds = 28.57 % Approx

So it is the highest for wheat.

7. Ratio of fertilizers cost to the production cost for: 
Wheat = 0.15
Rice = 0.13 Approx
Bajra = 0.16 Approx
Cotton = 0.125 
Mustard Seeds = 0.15

8. New fertilizer cost of rice = 12.5 thousands
New transportation cost of rice = 12.5 thousands
New total production cost = 80 thousand
New profit percentage = 12.5%
So required difference of percentage points = 20 – 12.5 = 7.5

9. Total irrigation cost – 91 thousand
Cost per litre of water = 7
So, Total amount of water used = 13000 liters

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