24) If the difference between SI and CI on
the same principal amount at 10% for 3
years is Rs 31. Find the principal amount.
(a)1000 (b)1200
(b)1200 (c)1400 (d)1600
Answers
Answered by
0
Answer:
(a) ₹1000
Step-by-step explanation:
PARAMETERS GIVEN,
CI - SI = ₹31
RATE% = 10%
TIME = 3 YEARS
SO,
LET THE PRINCIPAL BE x
SO,
CI = [P(1+R/100)ⁿ] - P
= [x(1+10/100)³] - x
= [x(11/10)³] - x
NOW,
SI = PRT/100
= (x*10*3)/100
= 3x/10
SO,
A.T.Q.,
CI - SI = ₹31
{[x(11/10)³] - x} - (3x/10) = ₹31
[1331x/1000 - x] - (3x/10) = ₹31
[(1331x - 1000x)/1000] - (3x/10) = ₹31
(331x/1000) - (300x/1000) = ₹31
31x/1000 = ₹31
x = (₹31*1000)/31
x = ₹1000
SO,
THE PRINCIPAL IS ₹1000
THEREFORE,
OPTION (a) IS CORRECT!!!
I HOPE YOU UNDERSTOOD THE QUESTION!!!
!!!JAI SHREE RAM!!!
!!!JAI SHREE KRISHNA!!!
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