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Step-by-step explanation:
9) After 4 years.
Let, after t years the simple interest on rs 400 at 10% per annum be the same as the simple interest on rs 1000 for four years at 4% per annum,
Since, The simple interest is,
S.I = ( P × R × T ) / 100
Where, P is the principal amount,
r is the annual rate of interest,
t is the time ( In years ),
Thus, the simple interest on rs 400 at 10% per annum for t years,
( 400 × 10 × t ) / 100
4000t / 100 = 40t
While, the simple interest on rs 1000 for four years at 4% per annum
( 1000 × 4 × 4 ) / 100
16000 / 100
160
Hence,
40 t = 160
⇒ t = 4 years
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10) Principal ( P ) = Mr.Jane donates
P = Rs.100000
Each scholarship value = Rs.1500
Value of 5 scholarship = 5 × 1500
Rs = 7500
Interest ( I ) = value of 5 scholarships
I = Rs.7500
Rate of interest per annum = R%
Time ( T ) = 1 year
we know that,
I = ( P × R × T ) / 100
R = ( 1 × 100 ) / ( P × T )
R = ( 7500 × 100 ) / (100000×1)
R = 75 / 10
R=7.5%
Rate of interest Rs.7.5%
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