CAT 1990 Question Paper

Total expenditure is = 52.1 + 267.5 + 196.4 + 209.5 = 725.5

So 25.5 will be cut off on administration equally in all years.

Hence in 1989 cut off will be $$\frac{25.5}{4} = 6.375$$

Percentage cut off will be = $$\frac{6.375}{15} \times 100 = 42.5$$

Till third year expense was 407.1 and total expenditure is 597.1

So ratio will be $$\frac{407.1}{597.1}$$ = 0.7
That will be fraction of length which is supposed to be completed by third year

Total material for all the years will be = 250+175+43+64 = 532
Total labour cost for all the years = 65.1
Hence ratio will be $$\frac{65.1}{532}$$ nearly equal to 8:1.

In the year 1990, total increment will be 4+2.25+0.6+0.9 = 7.75
And in the year 1991, total increment be 3.75+3+0.8+1.05=8.60
Hence total increase in estimated cost will be = 16.35 Lakhs

It is said that till 1990, all estimated cost has been spent i.e. 725.5
Then 209.5 is spent in the year 1991. Hence, that will be exceeding the cost.
So percentage increase will be = $$\frac{209.5}{725.5} \times 100$$ = 29 
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Total estimated cost before increment = 52.1+267.5+196.4+209.5 = 725.5

Increment in contingencies will be = 25.2

Hence, total estimated cost will also be increased with the same amount.

So percentage increment in total estimated cost will be = $$\frac{25.2}{725.5} \times 100 = 3.47$$

Sales to stock percentage values are given in table 3 
And at region 4, Brown colour, percentage is maximum compared to all.
Hence answer will be C

As the most popular colours will have more sale than any other colour
Since table 2 gives us value of sales, Brown colour in region 1 has maximum no. of sales
Hence, our answer will be Brown.

Since table 2 gives us the sales values of saris
Hence, for the magenta sari, Region1 has the maximum number of sales out of total magenta sales. 
I.e. 71 out of 161.

Given we have 6 regions where sales are defined in the table number two . Now given that we need to find the region where green saris as a percentage of the total sales is lowest . In order to do that we calculate Green saris sold in a region/ Total sales of a particular region by considering the values from table 2 . 

Now for option 1 which is region 1 the value is (164/788)*100  = 20.81 %

For option 2 which is region 4 the value is (85/511)*100 = 16.63 %

For option 1 which is region 6 the value is (3/18)*100 = 16.66 %

For option 1 which is region 2  the value is (200/676)*100 = 29.58  % .

Hence among the given options the percentage of region 4 is lowest which is option 2 .