the principal amount to Rs 944 in 3 years and to Rs 1040 in 5 years if each sum was invested at the same simple interest what is the principal?
Answers
Answer:
Step-by-step explanation:
Answer:
@π$\/\/€R :
let the P = Rs. X
R = R%
P = Rs. X
R = R%
T = 3 years
S.I = P×R ×T
----------------- = 944 - X = X × R × 3
100. ----------------
100
100 ( 944 - X )
----------------- = R --- (i)
3X
Case -- 2nd
P = Rs.X
R = R%
T = 5 years
S.I = Rs. ( 1040 - X )
S.I = P×R×T
-----------
100
1040 - X = X × R × 5
------------------
100
100 ( 1040 - x )
------------------- = R --- (ii)
5X
ATQ : 100 ( 944 - X ) 100 ( 1040 - X )
------------------. = --------------------
3 X. 5X
( 944 - x ) × 5 = 3× ( 1040 - X )
4720 - 5X =. 3120 - 3 X
4720 - 3120 = 5 X - 3X
1600 = 2 X
X. = 1600
--------. = Rs. 800
2
ANSWER : Rs. 800
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