Online Data Interpretation Test - Data Interpretation Test 1

Required percentage =		9% of 5700	x 100		% =		9 x 5700	x 100		% = 75%.
		8% of 8550					8% of 8550

The percentage of candidates passed to candidates enrolled can be determined for each institute as under:

(i) P =

18% of 5700

x 100

% =

18 x 5700

x 100

% = 54.55%.

22% of 8550

22 x 8550

(ii) Q =			17% of 5700		x 100		%	= 75.56%.
			15% of 8550

(iii) R =			13% of 5700		x 100		%	= 86.67%.
			10% of 8550

(iv) S =			16% of 5700		x 100		%	= 62.75%.
			17% of 8550

(v) T =			9% of 5700		x 100		%	= 75%.
			8% of 8550

(vi) V =			15% of 5700		x 100		%	= 83.33%.
			12% of 8550

(vii) X =			12% of 5700		x 100		%	= 50%.
			16% of 8550

Highest of these is 86.67% corresponding to institute R.

Required difference	= [(16% + 18%) of 5700] - [(8% + 10%) of 8550]
	= [(34% of 5700) - (18% of 8550)]
	= (1938 - 1539)
	= 399.

Candidates passed from institutes Q and R together	= [(13% + 17%) of 5700]
	= 30% of 5700.
Candidates enrolled from institutes Q and R together	= [(15% + 10%) of 8550]
	= 25% of 8550.

Required Percentage	= 30% of 5700 x 100 % 25% of 8550
	= 30 x 5700 x 100 % 25 x 8550
	= 80%.

Required ratio =		18% of 5700		=		18 x 5700		=	6	.
		22% of 8550				22 x 8550			11

Difference	= Rs. [(10% of 4.75) - (8% of 4.75)] lakhs
	= Rs. (2% of 4.75) lakhs
	= Rs. 0.095 lakhs
	= Rs. 9500.

Let the amounts invested in 2002 in Companies P and Q be Rs. 8x and Rs. 9x respectively.

Then, interest received after one year from Company P	= Rs. (6% of 8x)
	= Rs. 48 x. 100
and interest received after one year from Company Q	= Rs. (4% of 9x)
	= Rs. 36 x. 100

Required ratio =	48 x 100	=	4	.
	36 x 100		3

Let Rs. x lakhs be invested in Company P in 2000, the amount invested in Company Q in 2000 = Rs. (30 - x) lakhs.

Total interest received from the two Companies after 1 year

    = Rs. [(7.5% of x) + {9% of (30 - x)}] lakhs

= Rs.		2.7 -		1.5x			lakhs.
				100

		2.7 -		1.5x			= 2.43         x = 18.
				100

Amount received from Company P after one year (i.e., in 199) on investing Rs. 12 lakhs in it

= Rs. [12 + (8% of 12)] lakhs

= Rs. 12.96 lakhs.

Amount received from Company P after one year on investing Rs. 12.96 lakhs in the year 1999

= Rs. [12.96 + (10% of 12.96)] lakhs

= Rs. 14.256.

Appreciation received on investment during the period of two years

= Rs. (14.256 - 12) lakhs

= Rs. 2.256 lakhs

= Rs. 2,25,600.

Amount received from Company Q after one year on investment of Rs. 5 lakhs in the year 1996

= Rs. [5 + (6.5% of 5)] lakhs

= Rs. 5.325 lakhs.

Amount received from Company P after one year on investment of Rs. 5.325 lakhs in the year 1997

= Rs. [5.325 + (9% of 5.325)] lakhs

= Rs. 5.80425 lakhs

= Rs. 5,80,425.

Required percentage	= (145 - 108) x 100 % 108
	= 34.26%
	34%.

The total sales (in thousands) of all the seven years for various batteries are:

For 4AH = 75 + 90 + 96 + 105 + 90 + 105 + 115 = 676

For 7AH = 144 + 126 + 114 + 90 + 75 + 60 + 85 = 694

For 32AH = 114 + 102 + 75 + 150 + 135 + 165 + 160 = 901

For 35AH = 102 + 84 + 105 + 90 + 75 + 45 + 100 = 601

For 55AH = 108 + 126 + 135 + 75 + 90 + 120 + 145 = 799.

Clearly, sales are maximum in case of 32AH batteries.

Required difference = [(84 - 45) x 1000] = 39000.

The percentages of sales of 4AH batteries to the total sales in different years are:

For 1992 =		75	x 100		% = 13.81%.
		543

For 1993 =		90	x 100		% = 17.05%.
		528

For 1994 =		96	x 100		% = 18.29%.
		525

For 1995 =		105	x 100		% = 20.59%.
		510

For 1996 =		96	x 100		% = 19.35%.
		465

For 1997 =		105	x 100		% = 21.21%.
		495

For 1998 =		115	x 100		% = 19.01%.
		605

Clearly, the percentage is maximum in 1997.

From the table it is clear that the sales of 7AH batteries have been decreasing continuously from 1992 to 1997.

Total number of Q type cars produced in 2001

    =(60 - 40)% of 4,40,000 = 88,000.

Total number of Q type cars produced in 2000

    =(45 - 30)% of 3,50,000 = 52,500.

Required difference = (88000 - 52500) = 35,500.

Analysis of the graph:

We shall first determine the number of cars of each model produced by the Company during the two years:

In 2000 : Total number of cars produced = 3,50,000.

P = (30 - 0)% of 3,50,000 = 30% of 3,50,000 = 1,05,000.

Q = (45 - 30)% of 3,50,000 = 15% of 3,50,000 = 52,500.

R = (65 - 45)% of 3,50,000 = 20% of 3,50,000 = 70,000.

S = (75 - 65)% of 3,50,000 = 10% of 3,50,000 = 35,000.

T = (90 - 75)% of 3,50,000 = 15% of 3,50,000 = 52,500.

U = (100 - 90)% of 3,50,000 = 10% of 3,50,000 = 35,000.

In 2001 : Total number of cars produced = 4,40,000.

P = (40 - 0)% of 4,40,000 = 40% of 4,40,000 = 1,76,000.

Q = (60 - 40)% of 4,40,000 = 20% of 4,40,000 = 88,000.

R = (75 - 60)% of 4,40,000 = 15% of 4,40,000 = 66,000.

S = (85 - 75)% of 4,40,000 = 10% of 4,40,000 = 44,000.

T = (95 - 85)% of 4,40,000 = 10% of 4,40,000 = 44,000.

U = (100 - 95)% of 4,40,000 = 5% of 4,40,000 = 22,000.

Total number of cars of models P, Q and T manufacture in 2000

    = (105000 + 52500 + 52500)

    = 2,10,000.

If the percentage production of P type cars in 2001

    = Percentage production of P type cars in 2000

    = 30%.

then, number of P type cars produced in 2001

    = 30% of 4,40,000

    = 1,32,000.

Number of S type cars which remained unsold in 2000 = 15% of 35,000

and number of S type cars which remained unsold in 2001 = 15% of 44,000.

Total number of S type cars which remained unsold

    = 15% of (35,000 + 44,000)

    = 15% of 79,000

    = 11,850.

The percentage change (rise/fall) in production from 2000 to 2001 for various models is:

For P =		(176000 - 105000)	x 100		% = 67.62%, rise.
		105000

For Q =		(88000 - 52500)	x 100		% = 67.62%, rise.
		52500

For R =		(70000 - 66000)	x 100		% = 5.71%, fall.
		70000

For S =		(44000 - 35000)	x 100		% = 25.71%, rise.
		35000

For T =		(52500 - 44000)	x 100		% = 16.19%, fall.
		52500

For U =		(35000 - 22000)	x 100		% = 37.14%, fall.
		35000

Minimum percentage rise/fall is production is the case of model R.