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ICSE Class 9 Answered

The simple interest ona certain sum is Rs. 225 and the compound interest on the same sum and rate for 2 yrs is Rs. 153. Find the rate and principal.
Asked by laskar.ranadeep | 22 Apr, 2020, 11:34: AM
Expert Answer
The question should be: 
The simple interest ona certain sum is Rs. 225 and the compound interest on the same sum and rate for 2 yrs is Rs. 153. Find the rate and principal.
 
Solution:
Given: S.I. = 225, N = 2 yrs C.I. = 153 and n = 2 yrs
We know that, 
Simple interest = (P x N x r)/100
225 = (P x 3 x r)/100
r/100 = 75/P ... (i)
C.I. = A - P
153 = A - P
Using the formula for amount
153 equals P open parentheses 1 plus r over 100 close parentheses to the power of n minus P rightwards double arrow 153 equals P open parentheses 1 plus 75 over P close parentheses squared minus P rightwards double arrow 153 equals open parentheses P plus 75 close parentheses squared over P minus P rightwards double arrow 153 P equals P squared plus 5625 plus 150 P minus P squared rightwards double arrow 3 P equals 5625 rightwards double arrow P equals 1875
Answered by Renu Varma | 24 Apr, 2020, 11:03: AM

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