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Direction: Study the data carefully and answer the questions given beside:
 
 Schemes  Type of Interest  Principal   % of Rate   Years   Amount 
A Simple Interest 22000 - 4 35200
B  Compound Interest  - 10% 2 30250
C Compound interest 10000 20% - 17280
D Simple interest 22500 12% - 29250
E Compound interest 27500 16% 2 -

1
Sajal invested double money of scheme A in scheme F at C. I. and at the end of 3 years he received Rs 14564 as interest. Find the rate of interest of scheme F.
» Explain it
B
Principal = 2 × 22000 = Rs 44000, Interest = Rs 14564, time = 3 years

Amount = 44000 + 14564 = Rs 58564

A = P  ( 1 +  r ) n
100  

58564 = 44000 ( 1 +  r ) 3
100  

58564  =  ( 1 +  r ) 3
44000 100  

1331  =  ( 1 +  r ) 3
1000 100  

11  = 1 +  r
10 100

r  =  1
100 10

r = 10%

Hence, option B is correct.
 
2
For how much time did the money invest in scheme D?
» Explain it
C
Principal = Rs 22500, rate = 12%, Amount = Rs 29250, S.I. = 29250 – 22500 = Rs 6750

S.I. = P × r ×  t
100

6750 = 22500 × 12% × t

t = 2.5 years

Hence, option C is correct.

3
If the ratio of the interest rate of scheme G to that scheme C is 5 : 4 and at the end of 2 years the interest received by a person in scheme G at simple interest is Rs 9750, find the principal.
» Explain it
D
Interest rate of G : interest rate of C = 5 : 4

Interest rate of G =  20  × 5 = 25%
4

S.I. = Rs 9750, time = 2 years

S.I. = P × r% × t

9750 = P × 25% × 2

9750 ÷ 25% ÷ 2 = P

P = 19500

Principal = Rs 19500

Hence, option D is correct.

4
What is the difference between the Compound interest and Simple interest of Scheme B at the end of 2 years?
» Explain it
B
Amount = Rs 30250, time = 2 years, interest rate = 10%

A = P ( 1 +  r ) t
100  

30250 = P ( 1 +  10 ) 2
100  

30250 = P ( 11 ) 2
10  

30250 = P ×  121
100

P = 25000
 
Difference = P ( r ) 2
100  

Difference = 25000  ( 10 ) 2
100  

= 250

Difference between C.I. and S.I for 2 years is Rs 250.

Hence, option B is correct.
 
5
What is the total interest earned by a person by investing amount in all the schemes for the time given?
» Explain it
E
Interest of scheme A = 35200 – 22000 = Rs 13200

Interest of scheme B,

A = P ( 1 +  r ) t
100  

30250 = P ( 1 +  10 ) 2
100  

30250 = P ×  121
100

P = 25000

Interest of scheme B = Rs 5250

Interest of scheme C = 17280 – 10000 =Rs 7280

Interest of scheme D = 29250 – 22500 = Rs 6750

Interest of scheme E,
 
Interest = P ( 1 +  r ) t  – P
100  

= 27500 ( 1 +  16 ) 2  – 27500
100  

= 27500 ( 29 ) 2  – 27500
25  

= 37004 – 27500 = 9504

Total interest = 13200 + 5250 + 7280 + 6750 + 9504 = Rs 41984

Hence, option E is correct.