BPSC 69th CCE – Main Exam GS Paper I – Section III : Statistical Analysis Solution

  1. Study the following table carefully and answer the following questions given below this table:

There are three companies X, Y and Z making identical soaps in the form of bars.

Soaps are sold by the number of units.

Total sales = Selling price X Units sold

Assume : Only these three companies exist in the market.

(a) What was the average price of soap in the year 2013 (Rs/unit)?

(b) What was the percentage decrease in units sold for X in 2012 over 2011?

(c) What was the percentage share of Z in the total units sold in 2013?

(d) In which year Y sold the maximum number of units?

(e) The maximum price per unit given in the table exceeds the minimum price per unit by what percentage?

2. The following pie-chart shows the expenditure incurred on the manufacturing of a calculator under various heads. Study the pie chart carefully and answer the questions given below:

(a) What is the central angle of the sector showing the expenditure incurred on paying for the software?

(b) What is the cost price of the calculator on which the cost if R&D and machinery charges amount to Rs 127.50?

(c) The marked price of a calculator is 24% more than its cost price. If the marked price of a calculator be Rs 186, then what is the cost price of R&D used in a single unit of calculator?

(d) If the machinery charges of a single unit be Rs 58.50 and the marked price is 30% more than the cost price, then what is the marked price of the calculator?

(e) If the profit of the manufacturer is 20% and the marked price of a calculator be Rs 192, then how much money has been spent on it as miscellaneous charges?

3. Study the pie diagrams given below carefully which represent the expenditure of two families I and II on different items in percentages and answer the questions asked below. The annual income of families I and II are Rs 4 lakhs and Rs 5 lakhs respectively:

(a) How much less or more amount of money is spent on education by family II as compared to family I?

(b) Which one of the two families I and II spends more amount of money on food and how much?

(c) What is the proportion of money spent by families I and II on education?

(d) What would be the angle at the centre of pie diagram of money spent on housing by family I?

(e) How much money has been spent by families I and II together on mixed items?

4. The bar graph given below represents the additional tax collected by a state in different years. Study it carefully and answer the questions given below related to it:

(a) How much percentage decrease in additional tax was registered in 2020-21 as compared to 2018-19?

(b) How much percentage increase in additional tax was registered in 2017-18 as compared to 2016-17?

(c) During which year the maximum percentage increase in additional tax was registered as compared to its preceding year?

(d) From 2014-15 to 2020-21, what is the average of additional tax?

(e) During which two consecutive years percentage of decrease in additional tax was minimum?