Question

In what time will 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 ?



plz help me
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Answer 1

Answer:

After 4 years.

Step-by-step explanation:

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.=\frac{P\times r\times t}{100}S.I.=100P×r×t

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,

=\frac{400\times 10\times t}{100}=100400×10×t

=\frac{4000t}{100}=40t=1004000t=40t

While, the simple interest on rs  1000 for four years at 4% per annum

=\frac{1000\times 4\times 4}{100}=\frac{16000}{100}=160=1001000×4×4=10016000=160

Hence,

40 t = 160

⇒ t = 4 years

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