Quiz 1

Solution
Investment of company A in 2000 = 1239 x 100 / 177 = Rs.700 lakh

Solution
Let us assume the investment of Company B in 1997 is Rs. 100. Investment of company B in 1998 was 20% more than that in the previous year.
So the investment of Company B in 1998 is Rs. 120.
Profit in 1997 of company B= 90 % of 100 = Rs. 90
Profit in 1998 of company B= 85% of 120 = Rs. 102.
Required % = 102 / 90 x 100 = 113 (1/3)%

Solution
We don’t have the data for investment. So, we can't determine the answer.

Solution
Here we look up the values of the production for the 2 years first. Locate 1993 on the X axis, which denotes years. Move vertically up along the Y axis direction in 1993, and we get value of production in 1993 as 110. In the same way we get the value of production in 1994 as 100.
In calculating % increases & decreases: In this case 1993, it is very important to remember that the original year is the one that is used as the reference year. First we calculate the absolute decrease which is 110 – 100 = 10. Now we have to express 10 as a percentage of the production in 1993, which is 110. So the required answer is 100 × 10/110 = 9.09%

Solution
Average production for 6 years = 80 + 110 + 130 + 100 +120 +65 / 6 = 101
Clearly in 1992, 1994 and 1996, the production was less than average.

Solution
Here remember that absolute increase has been asked. The difference in Y coordinates of the adjacent years will give us the increase. Since the distance between consecutive years is the same on the X axis, we can check the slopes of various segments. By visual inspection, maximum increase in food grain production has been in the year 1997 (55 units by calculation)

Explanation:
Total exports of the three Companies X, Y and Z together, during various years are:
In 1993 = (30 + 80 + 60) = 170

In 1994 = (60 + 40 + 90) = 190
In 1995 = (40 + 60 + 120) = 220
In 1996 = (70 + 60 + 90) = 220
In 1997 = (100 + 80 + 60) = 240

In 1998 = (50 + 100 + 80) = 230
In 1999 = (120 + 140 + 100) = 360
Clearly, the total exports of the three Companies X, Y and Z together are same during the years 1995 and 1996.

Explanation:

Analysis of the graph: From the graph it is clear that

1. The amount of exports of Company X (in Pesetas) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 30, 60, 40, 70, 100, 50 and 120 respectively.

2. The amount of exports of Company Y (in Pesetas.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 80, 40, 60, 60, 80, 100 and 140 respectively.

3. The amount of exports of Company Z (in Pesetas) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 60, 90,, 120, 90, 60, 80 and 100 respectively.

Average annual exports (in Pesetas) of Company Y during the given period

= 1/7 x (80 + 40 + 60 + 60 + 80 + 100 + 140) = 560/7= 80.

Average annual exports (in Pesetas) of Company Z during the given period

= 1/7 x (60 + 90 + 120 + 90 + 60 + 80 + 100) = (600/7 ) .

Therefore Required percentage =

Explanation:

The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively.

Let the exports in the year 1998 = x

Then, the exports in the year 1999 = (500 - x)

Therefore 1.25 = 250/x => x = 250/1.25 = 200 [Using ratio for 1998]

Thus, the exports in the year 1999 = (500 - 200) = 300

Let the imports in the year 1999 = y

Then, 1.40 = y/300 => y = (300 x 1.40) = 420.

Therefore Imports in the year 1999 = 420