**Question(1-5) :-**

**Annual Rate of Interest Offered by Two Finance Companies Over the Years.**

**1.A sum of Rs. 4.75 lakhs was invested in Company Q in 1999 for one year. How much more interest would have been earned if the sum was invested in Company P?**

**2.If two different amounts in the ratio 8:9 are invested in Companies P and Q respectively in 2002, then the amounts received after one year as interests from Companies P and Q are respectively in the ratio?**

**3.In 2000, a part of Rs. 30 lakhs was invested in Company P and the rest was invested in Company Q for one year. The total interest received was Rs. 2.43 lakhs. What was the amount invested in Company P?**

**4.An investor invested a sum of Rs. 12 lakhs in Company P in 1998. The total amount received after one year was re-invested in the same Company for one more year. The totalappreciation received by the investor on his investment was?**

**5.An investor invested Rs. 5 lakhs in Company Q in 1996. After one year, the entire amount along with the interest was transferred as investment to Company P in 1997 for one year. What amount will be received from Company P, by the investor?**

**Question(6-10) :-**

**Exports from Three Companies over the Years (in Rs. crore)**

**6.For which of the following pairs of years the total exports from the three Companies together are equal?**

**7.Average annual exports during the given period for Company Y is approximately what percent of the average annual exports for Company Z?**

**8.In which year was the difference between the exports from Companies X and Y the**

**minimum?**

**9. What was the difference between the average exports of the three Companies in 1993 andthe average exports in 1998?**

**10. In how many of the given years, were the exports from Company Z more than the averageannual exports over the given years?**

**Answers:-**

**1.(D)**

DIFFERENCE = Rs. [(10% of 4.75) – (8% of 4.75)]

= Rs. (2% of 4.75) lakhs

= Rs. 0.095 lakhs

= Rs. 9500.

**2.(D)**

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

Then, interest received after one year from Company P= Rs. (6% of 8x)

=Rs.48x/100

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

=Rs.36x/100

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

**3.(D)**

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/100)}lakhs.

2.7 -1.5x/100= 2.43

x = 18.

**4.(C)**

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.

Appreciation received on investment during the period of two years

= Rs. (14.256 – 12) lakhs

= Rs. 2.256 lakhs = Rs. 2, 25,600.

**5.(B)**

Amount received from Company Q after one year on investment of Rs. 5 lakhs in the year1996

= 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 theyear 1997

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

= Rs. 5.80425 lakhs

= Rs. 5, 80, 425.

**6.(D)**

Total exports of the three Companies X, Y and Z together, during various years are:

In 1993 = Rs. (30 + 80 + 60) crores = Rs. 170 crores.

In 1994 = Rs. (60 + 40 + 90) crores = Rs. 190 crores.

In 1995 = Rs. (40 + 60 + 120) crores = Rs. 220 crores.

In 1996 = Rs. (70 + 60 + 90) crores = Rs. 220 crores.

In 1997 = Rs. (100 + 80 + 60) crores = Rs. 240 crores.

In 1998 = Rs. (50 + 100 + 80) crores = Rs. 230 crores.

In 1999 = Rs. (120 + 140 + 100) crores = Rs. 360 crores.

Clearly, the total exports of the three Companies X, Y and Z together are same during theyears 1995 and 1996.

**7. (D)**

1. The amount of exports of Company X (in crore Rs.) 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 crore Rs.) 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 crore Rs.) 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 Rs. crore) of Company Y during the given period

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

Average annual exports (in Rs. crore) of Company Z during the given period

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

Required percentage {80/(600/7) x 100}= % 93.33%.

**8.(C)**

The difference between the exports from the Companies X and Y during the various years are:

In 1993 = Rs. (80 – 30) crores = Rs. 50 crores.

In 1994 = Rs. (60 – 40) crores = Rs. 20 crores.

In 1995 = Rs. (60 – 40) crores = Rs. 20 crores.

In 1996 = Rs. (70 – 60) crores = Rs. 10 crores.

In 1997 = Rs. (100 – 80) crores = Rs. 20 crores.

In 1998 = Rs. (100 – 50) crores = Rs. 50 crores.

In 1999 = Rs. (140 – 120) crores = Rs. 20 crores.

Clearly, the difference is minimum in the year 1996.

**9.(C)**

Average exports of the three Companies X, Y and Z in 1993

= Rs. (1/3) *(30 + 80 + 60) crores = Rs. 170/3 crores

Average exports of the three Companies X, Y and Z in 1998

= Rs.(1/3)*(50 + 100 + 80) crores = Rs.230/3 crores.

Difference = Rs.60/3 crores

= Rs. 20 crores.

**10.(C)**

Average annual exports of Company Z during the given period

=(1/7)* (60 + 90 + 120 + 90 + 60 + 80 + 100)

= Rs.

(600/7)crores

= Rs. 85.71 crores.

From the analysis of graph the exports of Company Z are more than the average annualexports of Company Z (i.e., Rs. 85.71 crores) during the years 1994, 1995, 1996 and 1999,i.e., during 4 of the given years.