Line Charts Questions & Answers - Page 4

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. (48/100) x.

and interest received after one year from Company Q = Rs. (4% of 9x)

= Rs. (36/100) x.

Therefore Required ratio = ( (48/100) x )/( (36/100) x ) = 4/3

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

= Rs. (2% of 4.75) lakhs

= Rs. 0.095 lakhs

= Rs. 9500.

We shall try to find the difference between the imports and exports of Company B for various years one by one:

For 1995: We have

E/I = 0.75

where E = amount of exports, I = amount of imports in 1995.

=> E = 0.75I

Therefore I - E = 0.75 x I = 0.25I.

Thus, the difference between the imports and exports of Company B in 1995 is dependent on the amount of imports of Company B in 1995.

Similarly, the difference for other years can be determined only if the amount of imports for these years is known.

Since the imports or exports for various years are not know, the differences between and exports for various years cannot be determined.

In 1995 for Company A we have:

E_A/I_A = 1.75 ... (i)

[where E_A = amount of exports, I_A = amount of imports of Company a in 1995]

In 1995 for Company B we have:

E_B/I_B = 0.75 ... (ii)

[where E_B = amount of exports, I_B = amount of imports of Company B in 1995]

Also, we have E_A = 2E_B ... (iii)

Substituting I_A = Rs. 180 crores (given) in (i), we get:

E_A = Rs. (180 x 1.75) crores = Rs. 315 crores.

Using E_A = Rs. 315 crores in (iii), we get:

E_B = E_A/2 = Rs. ( 315/2 ) crores. 

Substituting E_B = Rs. ( 315/2 ) crores in (ii), we get:

I_B = E_B/0.75 = Rs. ( 315/(2 x 0.75) ) crores = Rs. 210 crores.

i.e., amount of imports of Company B in 1995 = Rs. 210 crores.

Let the amount of imports of Company A in 1998 be Rs. x crores.

Then, 237/x = 0.75    =>    x = 237/0.75 = 316

Therefore Amount of imports of Company A in 1998 = Rs. 316 crores.