Question 135

The simple interest on a certain sum for 2.5 yr at 12 % per annum is ₹ 300 less than the simple interest on the same sum for 4.5 yr at 8 % per annum. Find the sum.

Open in App

Solution

Let the sum be x.
Given that,
$P_{1} = x, R_{1} = 12 % a n d T_{1} = 2.5 y r = \frac{5}{2} y r$
and
$P_{2} = x, R_{2} = 8 % a n d T_{2} = 4.5 y r = \frac{9}{2} y r$

According to the question,
$I_{2} - I_{1} = 300 \Rightarrow \frac{P_{2} \times R_{2} \times T_{2}}{100} - \frac{P_{1} \times R_{1} \times T_{1}}{100} = 300 \Rightarrow \frac{x \times 8 \times 9}{2 \times 100} - \frac{x \times 12 \times 5}{2 \times 100} = 300 \Rightarrow 72 x - 60 x = 300 \times 200 \Rightarrow 12 x = 60000$
$x$ = ₹ 5000
Hence, the sum or the principal is ₹ 5000.

Suggest Corrections

Similar questions

Question 134

The simple interest on a certain sum for 8 yr at 12% per annum is ₹ 3120 more than the simple interest on the same sum for 5 yr at 14 % per annum. Find the sum.

Q. The simple interest on a certain sum for 8 years at 12% per annum is ₹3,120 more than the simple interest on the same sum for 5 years at 14 % per annum. Find the sum.

Q. The simple interest on a certain sum for 14 months at 6 percent per annum is Rs.25 more than the simple interest on the same sum for 8 months at 8 percent. The sum borrowed is -

Q. The compound interest on a certain sum for

1

year at

5 %

per annum is Rs.

1680

, find the simple interest on the same sum for

1

years at

5 %

per annum

Q. Simple interest on a certain sum of money for

3

years at

8

% per annum is half the compound interest on

R s . 4000

for

2

years at

10

% per annum. The sum placed on simple interest is:

Join BYJU'S Learning Program

Explore more

Sum / Principal

Standard VII Mathematics

Join BYJU'S Learning Program

Question 135 The simple interest on a certain sum for 2.5 yr at 12 % per annum is ₹ 300 less than the simple interest on the same sum for 4.5 yr at 8 % per annum. Find the sum.

Let the sum be x. Given that, P1=x,R1=12% and T1=2.5 yr=52yr and P2=x,R2=8% andT2=4.5 yr=92yr According to the question, I2−I1=300⇒P2×R2×T2100−P1×R1×T1100=300⇒x×8×92×100−x×12×52×100=300⇒72x−60x=300×200⇒12x=60000 x = ₹ 5000 Hence, the sum or the principal is ₹ 5000.

Question 135

The simple interest on a certain sum for 2.5 yr at 12 % per annum is ₹ 300 less than the simple interest on the same sum for 4.5 yr at 8 % per annum. Find the sum.