Advertisements
Advertisements
प्रश्न
Arun lent ₹ 5,000 to Balaji for 2 years and ₹ 3,000 to Charles for 4 years on simple interest at the same rate of interest and received ₹ 2,200 in all from both of them as interest. Find the rate of interest per year
Advertisements
उत्तर
Principal lent to Balaji P1 = ₹ 5000
Time n1 = 2 years
Let r be the rate of interest per year
Simple interest got from Balaji = `"Pnr"/100`
⇒ I1 = `(5000 xx 2 xx "r")/100`
Again principal let to Charles P2 = ₹ 3000
Time (n2) = 4 years
Simple interest got from Charles (I2) = `(3000 xx 4 xx "r")/100`
Altogether Arun got ₹ 2200 as interest.
∴ I1 + I2 = 2200
`(5000 xx 2 xx "r")/100 + (3000 xx 4 xx "r")/100` = 2200
100r + 120r = 2200
220r = 2200
r = `2200/220`
r = 10%
Rate of interest per year = 10%
APPEARS IN
संबंधित प्रश्न
The interest on a certain sum of money is 0.24 times itself in 3 years. Find the rate of interest.
At what rate percent of simple interest will the interest on Rs.3750 be one-fifth of itself in 4 years? To what will it amount in 15 years?
Mahesh deposited rupees 8650 in a bank at a rate of 6 p.c.p.a. How much money will he get at the end of the year in all?
Aravind borrowed a sum of ₹ 8,000 from Akash at 7% per annum. Find the interest and amount to be paid at the end of two years
In What time will ₹ 16,500 amount to ₹ 22,935 at 13% per annum?
Given the principal = Rs 40,000, rate of interest = 8% p.a. compounded annually. Find principal for 2nd year.
Dhruvika invested money for a period from May 2006 to April 2008 at rate of 12% per annum. If interest received by her is ₹ 1620, find the money invested.
Bhavya earns ₹ 50,000 per month and spends 80% of it. Due to pay revision, her monthly income increases by 20% but due to price rise, she has to spend 20% more. Find her new savings.
A memorial trust donates ₹ 5,00,000 to a school, the interest on which is to be used for awarding 3 scholarships to students obtaining first three positions in the school examination every year. If the donation earns an interest of 12 per cent per annum and the values of the second and third scholarships are ₹ 20,000 and ₹ 15,000 respectively, find out the value of the first scholarship.
Divide ₹ 10000 in two parts so that the simple interest on the first part for 4 years at 12 per cent per annum may be equal to the simple interest on the second part for 4.5 years at 16 per cent per annum.
