Question

Divide 2760/- in two parts such that simple interest on one part at 12.5% p.a for 2 years is equal to
the simple interest on the other part at 12.5% p.a for 3 years.​

Answer 1

Answer:

Let one part is x and other part is (6000−x)

Now,

S.I on first part =S.I. on second part

x×

100

12

×

12

9

=(6000−x)×

100

10

×

2

3

∴x=3750

and (6000−x)

⇒6000−3750=2250

Therefore two parts of 6000 are 3750 and 2250

Step-by-step explanation:

6000 into two parts so that simple interest on the first part for 2 years at 6% p.a. may be equal to the simple interest on the second part for 3 years at 8% p.a.

Answer 2

Answer:

Rs. 2760 must be divided into Rs. 1656 and Rs. 1104 to get the desired interests.

Step-by-step explanation:

Let one part be 'x'

Therefore, the other part = 2760 - x

Given that simple interest on one part at 12.5% p.a for 2 years is equal to

the simple interest on the other part at 12.5% p.a for 3 years.​

We know that Simple Interest = $\frac{PRT}{100}$

On substitution,

$\frac{x* 12.5*2}{100}$ = $\frac{(2760-x)*12.5*3}{100}$

=> 2x = 3 (2760 - x)

=> 2x = 8280 - 3x

=> 5x = 8280

=> x = 1656

The other part = Rs. 2760 - Rs. 1656

                        = Rs. 1104

Therefore, Rs. 2760 must be divided into Rs. 1656 and Rs. 1104 to get the desired interests.