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.
Advertisements
उत्तर
Given, I1 – I2 = ₹ 3120,
T1 = 8 years, R1 = 12%
T2 = 5 years, 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
What rate gives ₹ 280 as interest on a sum of ₹ 56,000 in 2 years?
In how many years will Rs.950 produce Rs.399 as a simple interest at 7%?
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?
Stephen invested ₹ 10,000 in a savings bank account that earned 2% simple interest. Find the interest earned if the amount was kept in the bank for 4 years
Simple interest on a given amount is always less than or equal to the compound interest on the same amount for the same time period and at the same rate of interest per annum.
Given the principal = Rs 40,000, rate of interest = 8% p.a. compounded annually. Find principal for 2nd year.
Amount received on ₹ 3000 for 2 years at the rate of 11% per annum is ______.
The ______ of interest on a sum of ₹ 2000 at the rate of 6% per annum for `1 1/2` years and 2 years is ₹ 420.
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.
The simple interest on a certain sum for 2.5 years at 12 per cent per annum is ₹ 300 less than the simple interest on the same sum for 4.5 years at 8 per cent per annum. Find the sum.
