The rate of interest on a sum of money is 4% per annum for the first 2 years, 6% pe
annum for the next 4 years and 8% per annum for the period beyond 6 years. If the
simple interest occured by the sum for a total period of 9 years is Rs.1120, what is
the sum?
Answers
Answer:
Rate of interest on a sum of money is 4% per annum for the first 2 yrs, 6% per annum for the next 4 yrs and 8% per annum for the period beyond 6 yrs. If the simple interest occured by the sum for a total period of 9 yrs is Rs.1120, what is the sum?
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the answer is divided in 4 parts.
part 1 : let p = Rs 100, R = 4% and T = 2 years
S.I = P x R xT /100
S.I = 100 x 4 x2 /100 = Rs 8
part 2 : let P =100, R = 6% T = 4 years
S.I = P x R xT /100
S.I = 100 x 6 x4 /100 = Rs 24
part 3: let p = 100 , R = 8% , T = 3 years
S.I = P x R x T/100
S.I = 100 x 8 x3/100 = Rs 24
part 4: total S.I on Rs 100 in 9 years = 8+24+24 = Rs 56
If S.I is 56, then P = 100
If S.I is 1120 , then P = 100 x 1120/56 = 100 x 20 = Rs 2000
Step-by-step explanation:
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Answer:Rs. 2,000
Step-by-step explanation:
We know that SI= PRT/100
SI at the rate of 4% for 2 years = P×4×2/100 = 8P/100
SI at the rate of 6% for 4 years = P×6×4/100 = 24P/100
SI for next 3 years = P×8×3/100 = 24P/100
Total S.I = 8P/100 + 24P/100 + 24P/100 = 56P/100
1120 = 56P/100
P = 1120×100/56
= Rs. 2,000