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Directions (1 - 5): Study the table carefully and answer the given questions.
Total exports of six countries over five years (in Rs. crore)
Note: Profit = Exports - Imports.
Years → 1998 1999 2000 2001 2002
Country ↓
P 20 40 60 45 90
Q 30 25 15 50 100
R 50 55 70 90 65
S 45 60 20 15 25
T 60 50 55 100 110
U 24 40 60 75 120
1
What was the profit of all the countries together in the year 2002 if the total imports of all the countries together was Rs. 385 crore?
Discuss
Answer & Solution
Total import of all countries together in 2002 = Rs. 385 crore
Now, in 2002 total export of all companies together
= 90 + 100 + 65 + 25 + 110 + 120
= 510 crore
∴ Total profit in 2002
= 510 - 385
= 125 crore
2
If the export of country P in the year 2003 is 20% more than the total export of country Q in 2001 and the export of country T in 2000 together, Then what was the profit of P in the year 2003 if its import was Rs. 92 crore for that year? (in Rs. crore)
Discuss
Answer & Solution
Total export of country Q in 2001 = Rs. 50 crore
Total export of country T in 2000 = Rs. 55 crore
Total export = 50 + 55 = Rs. 105 crore
Now, total export of country P in 2003
= $$\frac{105\times120}{100}$$
= Rs. 126 crore
Total import of country P in 2003 = Rs. 92 crore
Profit = 126 - 92 = Rs. 34 crore
3
What is the percentage increase in the export of all the countries together during the year 1999 to 2001 ? (rounded off to two digits after decimals)
Discuss
Answer & Solution
Total export of all countries together in 1999
= 40 + 25 + 55 + 60 + 50 + 40
= Rs. 270 crore
Total export of all countries together in 2001
= 45 + 50 + 90 + 15 + 100 + 75
= Rs. 375 crore
$$\eqalign{ & \therefore \text{Required % increase} \cr & = \frac{375 - 270}{270}\times100 \cr & = \frac{105}{270}\times100 \cr & = \frac{350}{9}\% \cr & = 38.88\% \cr & \approx 38.89\% \cr} $$
4
If the ratio of export to import in country S and country U is 1 : 2 and 4 : 1 in the year 1998, then what is the total import of country U and S together in that particular years ? (in Rs. crore)
Discuss
Answer & Solution
Import of company S in the year
1998 = $$\frac{45\times2}{1}$$  = Rs. 90 crore
Import of company U in the year
1998 = 24 × $$\frac{1}{4}$$ = Rs. 6 crore
Total import of company U and S together in 1998
= Rs. (90 + 6)
= Rs. 96 crore
5
By what percent is the average export of country T over all the given years more than the average export of country R over all the given years?
Discuss
Answer & Solution
  Total export of country T
  = 60 + 50 + 55 + 100 + 110
  = 375
  Average export of country T
  = $$\frac{375}{5}$$
  = Rs. 75 crore
  Total export of country R
  = 50 + 55 + 70 + 90 + 65
  = 330
  Average export of country R
  = $$\frac{330}{5}$$
  = Rs. 66 crore
$$\eqalign{ & \therefore \text{ Required } \% \cr & = \frac{75 - 66}{66}\times100 \cr & = \frac{9}{66}\times100 \cr & = \frac{150}{11}\% \cr & = 13\frac{7}{11}\% \cr} $$