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 Simple Interest
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 Banker's Discount
Simple Interest
Answer: Option C
Explanation:
S.I. for 1 year = Rs. (854  815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815  117) = Rs. 698.
Answer: Option A
Explanation:
Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900  x).
Then,  x x 14 x 2  +  (13900  x) x 11 x 2  = 3508  
100  100 
28x  22x = 350800  (13900 x 22)
6x = 45000
x = 7500.
So, sum invested in Scheme B = Rs. (13900  7500) = Rs. 6400.
Answer: Option D
Explanation:
Principal 




= Rs. 8925. 
Answer: Option B
Explanation:
Time =  100 x 81  years  = 4 years.  
450 x 4.5 
Answer: Option B
Explanation:
Let rate = R% and time = R years.
Then,  1200 x R x R  = 432  
100 
12R^{2} = 432
R^{2} = 36
R = 6.
Answer: Option D
Explanation:
S.I. = Rs. (15500  12500) = Rs. 3000.
Rate =  100 x 3000  %  = 6%  
12500 x 4 
Answer: Option B
Explanation:
Let the sum be Rs. 100. Then,
S.I. for first 6 months = Rs.  100 x 10 x 1  = Rs. 5  
100 x 2 
S.I. for last 6 months = Rs.  105 x 10 x 1  = Rs. 5.25  
100 x 2 
So, amount at the end of 1 year = Rs. (100 + 5 + 5.25) = Rs. 110.25
Effective rate = (110.25  100) = 10.25%
Answer: Option D
Explanation:
Let the rate be R% p.a.
Then,  5000 x R x 2  +  3000 x R x 4  = 2200.  
100  100 
100R + 120R = 2200
R =  2200  = 10.  
220 
Rate = 10%.
A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest? 


Answer: Option E
Explanation:
Let the original rate be R%. Then, new rate = (2R)%.
Note:
Here, original rate is for 1 year(s); the new rate is for only 4 months i.e. year(s).
725 x R x 1  +  362.50 x 2R x 1  = 33.50  
100  100 x 3 
(2175 + 725) R = 33.50 x 100 x 3
(2175 + 725) R = 10050
(2900)R = 10050
R =  10050  = 3.46 
2900 
Original rate = 3.46%
Answer: Option C
Explanation:
Principal = Rs.  100 x 5400  = Rs. 15000.  
12 x 3 
Answer: Option C
Explanation:
S.I. for 3 years = Rs. (12005  9800) = Rs. 2205.
S.I. for 5 years = Rs.  2205  x 5  = Rs. 3675  
3 
Principal = Rs. (9800  3675) = Rs. 6125.
Hence, rate =  100 x 3675  %  = 12%  
6125 x 5 
Answer: Option C
Explanation:
Let the principal be P and rate of interest be R%.
Required ratio = 

=  6PR  =  6  = 2 : 3.  

9PR  9 
Answer: Option D
Explanation:
We need to know the S.I., principal and time to find the rate.
Since the principal is not given, so data is inadequate.
Answer: Option A
Explanation:
Gain in 2 years 


= Rs. (625  400)  
= Rs. 225. 
Gain in 1 year = Rs.  225  = Rs. 112.50  
2 