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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 4 year at 4 % per annum?
  • a)
    2 years
  • b)
    3 years
  • c)
    4 years
  • d)
    6 years
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In what time will the simple interest on Rs 400 at 10% per annum be th...
Here, P = Rs.1000
n=4yrs
R=4%
where, P=Principal
n=Time
R=Rate
Since, Simple Interest on Rs.1000

now, simple interest= Rs. 160

then,  
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In what time will the simple interest on Rs 400 at 10% per annum be th...
Calculation of Simple Interest

To solve this problem, we need to calculate the simple interest on Rs 400 at 10% per annum and the simple interest on Rs 1000 for 4 years at 4% per annum.

Simple Interest on Rs 400 at 10% per annum

SI = (P x R x T)/100
Where,
P = Principal amount = Rs 400
R = Rate of interest = 10%
T = Time period = ?

SI = (400 x 10 x T)/100
SI = 40T

Simple Interest on Rs 1000 for 4 years at 4% per annum

SI = (P x R x T)/100
Where,
P = Principal amount = Rs 1000
R = Rate of interest = 4%
T = Time period = 4 years

SI = (1000 x 4 x 4)/100
SI = 160

Equating the Simple Interest

Now we need to equate the simple interest on both amounts to find out the time period.

40T = 160
T = 4 years

Therefore, the simple interest on Rs 400 at 10% per annum will be the same as the simple interest on Rs 1000 for 4 years at 4% per annum after 4 years. Hence, the correct answer is option C.
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Community Answer
In what time will the simple interest on Rs 400 at 10% per annum be th...
4 years
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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 4 year at 4 % per annum?a)2 yearsb)3 yearsc)4 yearsd)6 yearsCorrect answer is option 'C'. Can you explain this answer?
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