Advertisements
Advertisements
प्रश्न
A certain sum of money becomes three times itself in 20 years at simple interest. In how many years does it become double of itself at the same rate of simple interest?
उत्तर
Given that, the sum of money triples itself in 20 years
∴ P + I = 3P
∴ I = 2P
and T = 20 years
Now simple interest I = `"PRT"/100`
∴ 2P = `("P" xx "R" xx 20)/100`
∴ R = 10
∴ Rate of interest = 10% per annum
The time period is to be calculated for the condition that the sum doubles itself i.e. for the condition
P + I = 2P
i.e. I = P
i.e. `("P" xx "R" xx "T")/100 = "P"`
∴ `(10 xx "T")/100 = 1`
∴ T = 10
∴ The sum will become double of itself in 10 years.
APPEARS IN
संबंधित प्रश्न
A sum amounts to Rs. 9680 in 2 years and to Rs. 10648 in 3 years respectively at compound interest. What will be the amount of the same sum `1 2/5` is invested for years at the same rate of compound interest?
A certain sum of money amounts to Rs. 1,008 in 2 years and to Rs. 1, 164 in 3 `1/2` years. Find the sum and the rate of interest.
What will be the ratio of simple interest earned by a certain amount at the same rate of interest for 6 yr and that for 9 yr?
A sum of ₹725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of ₹362.50 more is lent but at the rate twice the former. At the end of the year, ₹33.50 is earned as interest from both the loans. What was the original rate of interest?
An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%. the effective rate of interest becomes
Ravi borrowed some money at the rate of 4% per annum for the first three years, at the rate of 8% per annum for the next two years and at the rate of 9% per annum for the period beyond 5 yr. If he pays a total simple interest of ₹19550 at the end of 7 yr, how much money did he borrow?
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is ₹1. The sum (in₹) is
At what rate of compound interest per annum will a sum of ₹1200 become ₹1348.32 in 2 years?
Albert invested an amount of ₹ 8000 in a fixed deposit scheme for 2 years at a compound interest rate of 5% per annum. How much amount will Albert get on the maturity of the fixed deposit?
What would be the simple interest at the rate of `9 1/2%` per annum on Rs. 6000 for `2 1/2` years?
What would be the compound interest on Rs 4200 for 18 months at 10% per annum compounded half-yearly?
A man gets a simple interest of Rs. 2,000 on a certain principal at the rate of 5% p.a. in 4 years. What compound interest will the man get on twice the principal in 2 years at the same rate?
The compound interest on Rs. 30000 at 7% p.a. is Rs. 4347. What is the period in years?
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:
At what rate percent of simple interest will a sum of money double itself in 12 years?
Anil Invested an amount for three years at a simple interest rate of 9 p.c.p.a. He got an amount of ₹19,050 at the end of the years. What principal amount did he invest?
The ratio of the amount for 3 years under C.I. annually and for one year under S.I. is 36:25. If the same rate of interest is charged then find the rate-
If x, y, z are three sums of money such that y is the simple interest on x and z is the simple interest on y for the same time and at the same rate of interest, then we have-
The simple interest accrued in 2 years on a principal of ₹24000 is one-eighth of the principal. What is the rate of simple interest p.c.p.a.?
