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In second case, Principal (P) = Rs. 900 Rate (R) = 4%, Time (T) = 5 years ∴SI=\frac{PRT}{100}=\frac{900\times4\times5}{100}=180Rs. In first case, SI = Rs. 180 Rate = 5%, Time = 3 years ∴ Sum = \frac{SI\times100}{R\times T}=\frac{180\times100}{3\times5}=Rs.1200 Byju's Answer Standard VIII Mathematics Conversion Period A sum of mone... Question A 20 % No worries! We‘ve got your back. Try BYJU‘S free classes today! B 40 % No worries! We‘ve got your back. Try BYJU‘S free classes today! C 25 % Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses D 12.5 % No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App Solution The correct option is D25 % Given that the sum doubles itself in 4 years.If the principal is P , then the amount after 4 years = 2P∴ Interest earned in 4 years = 2P - P = PP = P×4×r1001 = r25 (adsbygoogle = window.adsbygoogle || []).push({}); r = 25 %Suggest Corrections 5 Similar questions Q. A sum of money, lent out at simple interest, doubles itself in 8 years. Find: Q. A sum of money , lent out at simple interest doubles in 4 years. Find the rate of interest. Q. A certain sum of money
amounts to ₹ 522 rupees in 2 years and ₹558 rupees in 3 years lent at simple interest. Find the sum and rate of interest. Q. A certain sum lent out at simple interest doubles itself in
20 years. Number of years in which this sum trebles itself at the same rate of interest is: Q. Sunil lent a sum of money at 4 percent simple
interest. In 8 years the interest amounted to Rs.3,400 less than the sum lent. The sum lent was - View More The correct option is A 20 yearsLet the principal be P. As per the question, Amount = 2(Principal) = 2P SI = Amount - Principal = 2P - P = P By formula, R=SI×100P×T R=P×100P×10 =10 % So, the rate is 10% per annum. Now, the sum gets tripled. A = 3(Principal) = 3P SI = 3P - P = 2P T=SI×100P×R T=2P×100P×10 = 20 yearsIn what time a sum of money doubles at 5% per annum simple interest?So, the time required is 20 years.
How many years will a sum of money becomes double at 5% per annum Si?Here we need to double the money so the amount becomes 2P. Therefore, the number of years it will take to double the money at 5% per annum when compounded annually is 12.5 years.
How many years will a sum double itself at the rate of 10% simple interest per annum?Hence, it will take 10 years for the sum of money to double itself with the rate of 10% per annum simple interest.
What is the rate of interest if amount becomes double in 5 years?Detailed Solution
If a sum doubles itself in 5 years by simple interest. Calculations: Let P be the principal amount and R be the rate of interest. ∴ The rate of simple interest p.a. is 20%.
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In how many years a sum will be double if it is lent out at 5% simple interest
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