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22 vote

 If simple interest on a certain sum of money is Rs. 256 and the rate of interest per annum equals the number of years, then the rate of interest is:

Asked on by | Votes 22 | Views: 583 | Tags: quantitative aptitude     | simple interest     | Add Bounty

 If simple interest on a certain sum of money is Rs. 256 and the rate of interest per annum equals the number of years, then the rate of interest is:

A). 13%

B). 14%

C). 15%

D). 16%


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3 answers

75 vote
Answered by on | Votes 75 |

16%



NA

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0 vote
Answered by on | Votes 0 | | Last Updated: 2021-11-06 14:24:13

Solution:

Formula: Simple Interest, S.I = Pnr/100 where,

P = Principal, n =time in years, r = rate of interest in percentage

Given: S.I = Rs.256

Rate of interest = Time 

Let us take principal to be Rs.100 and the rate of interest as x%.

Therefore, time, n = x years 

Now by the formula we have,

256 = (100 × x × x)/100 

x² = 256

x = 16 

So, the rate of interest is 16%

The correct option is D).16%




0 vote
Answered by on | Votes 0 | | Last Updated: 2021-11-05 13:43:08

Here, I = Rs. 256

Let the principal be Rs. 100

Let the rate of interest per annum be X%

The, time(T) = X years

Therefore, using the formula

R

 =

100 x I

 

 


P x T

 

We have, x =

100 x 256

 
 

X2 = 256 or X = 16%


100 x X

 

Rate of interest per annum is 16%

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