Advertisements
Advertisements
प्रश्न
The simple interest on a certain sum for 8 years at 12 per cent per annum is ₹ 3120 more than the simple interest on the same sum for 5 years at 14 per cent per annum. Find the sum.
उत्तर
Given, I1 – I2 = ₹ 3120
T1 = 8 yr, R1 = 12%
T2 = 5 yr, R2 = 14%
And P1 = P2 = P
According to the question,
I1 – I2 = ₹ 3120
⇒ `(P_1 xx R_1 xx T_1)/100 - (P_2 xx R_2 xx T_2)/100` = 3120
⇒ `(P xx 12 xx 8)/100 - (P xx 14 xx 5)/100` = 3120
⇒ `P/100 [12 xx 8 - 14 xx 5]` = 3120
⇒ P[96 – 70] = 3120 × 100
⇒ 26P = 312000
⇒ P = `312000/26`
∴ P = ₹ 12000
Hence, the sum is ₹ 12000.
APPEARS IN
संबंधित प्रश्न
Rohit borrowed Rs. 24,000 at 7.5 percent per year. How much money will he pay at the end of the 4th years to clear his debt?
A sum of money, lent out at simple interest, doubles itself in 8 years. Find :
(i) the rate of interest
(ii) in how many years will the sum become triple (three times) of itself at the same rate percent?
Kisanrao wanted to make a pond in his field. He borrowed rupees 35250 from a bank at an interest rate of 6 p.c.p.a. How much interest will he have to pay to the bank at the end of the year?
Which among the following is the simple interest for the principle of ₹ 1,000 for one year at the rate of 10% interest per annum?
Which among the following rate of interest yields an interest of ₹ 200 for the principle of ₹ 2,000 for one year
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
Gayatri’s income is ₹ 1,60,000 per year. She pays 15% of this as house rent and 10% of the remainder on her child’s education. The money left with her is ______.
Amount obtained by depositing ₹ 20,000 at 8% per annum for six months is ______.
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.
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.
