Question

What is the average value of the contract secured during the years shown in the diagram?

• A. Rs. 103.48 crore
• B. Rs. 105 crore
• C. Rs. 100 crore
• D. Rs. 125.2 crore
• A. 150, 100, 211, 216, 97
• B. 100, 67, 141, 144, 65
• C. 150, 100, 200, 215, 100
• D. 120, 100, 220, 230, 68
• A. 1985
• B. 1988
• C. 1984
• D. 1986

Answer 1

The Correct Option is A

To calculate the average value of the contract secured over the years shown (1984-1988), we use the formula for the average:
\[ \text{Average} = \frac{\text{Sum of values for each year}}{\text{Number of years}} \]
The values for each year, as shown in the graph, are:
- 1984: Rs. 100.5 crore
- 1985: Rs. 67 crore
- 1986: Rs. 141 crore
- 1987: Rs. 143.9 crore
- 1988: Rs. 65 crore
Now, we calculate the sum of these values:
\[ 100.5 + 67 + 141 + 143.9 + 65 = 517.4 \]
Now, divide by the number of years (5 years):
\[ \frac{517.4}{5} = 103.48 \text{crore} \]
Thus, the average value of the contract secured during the years shown is Rs. 103.48 crore, corresponding to option (A).

Answer 2

To calculate the percentage performance relative to 1985, we use the following formula for each year:
\[ \text{Percentage Performance} = \left( \frac{\text{Value for the year}}{\text{Value for 1985}} \right) \times 100 \]
From the graph, we know the values for each year:
- 1984: Rs. 100.5 crore
- 1985: Rs. 67 crore
- 1986: Rs. 141 crore
- 1987: Rs. 143.9 crore
- 1988: Rs. 65 crore
Now, calculate the percentage performance relative to 1985:
- 1984: \( \frac{100.5}{67} \times 100 = 150 \)
- 1985: \( \frac{67}{67} \times 100 = 100 \)
- 1986: \( \frac{141}{67} \times 100 = 211 \)
- 1987: \( \frac{143.9}{67} \times 100 = 216 \)
- 1988: \( \frac{65}{67} \times 100 = 97 \)
Thus, the percentage performances for the years are: 150, 100, 211, 216, 97, corresponding to option (A).

Answer 3

To calculate the percentage decline in the value of contract secured compared to the preceding year, we use the following formula:
\[ \text{Percentage Decline} = \left( \frac{\text{Value of the current year} - \text{Value of the previous year}}{\text{Value of the previous year}} \right) \times 100 \]
We calculate the percentage decline for each year:
- 1985: \( \frac{67 - 100.5}{100.5} \times 100 = -33.33% \)
- 1986: \( \frac{141 - 67}{67} \times 100 = 110.45% \)
- 1987: \( \frac{143.9 - 141}{141} \times 100 = 2.05% \)
- 1988: \( \frac{65 - 143.9}{143.9} \times 100 = -54.75% \)
The highest percentage decline is observed in 1988, where the value dropped by 54.75%. Thus, the correct answer is 1988, corresponding to option (B).