Question

Divide Rs. 2379 into 3 parts so that their amounts after 2,3 and 4 years respectively may be equal, the rate of interest is 5% per annum at simple interest. The first part is..​

Answer 1

d Rs 828

Explanation:

Let the three parts be x,y and z.

Then, x+

100

x×2×5

​

=y+

100

y×3×5

​

=z+

100

z×4×5

​

⇒x+

10

x

​

=y+

20

3y

​

=z+

5

z

​

10

11x

​

=

20

23y

​

=

5

6z

​

=k(say)

∴x=

11

10k

​

,y=

23

20k

​

,z=

6

5k

​

Given, x+y+z=2379

⇒

11

10k

​

+

23

20k

​

+

6

5k

​

=2379

⇒

1518

1380k+1320k+1265k

​

=2379

⇒3965k=2379×1518

⇒k=

3965

2379×1518

​

⇒ First part = Rs.

11×5

10×3×1518

​

= Rs. 828

Let the three parts be x,y and z.

Then, x+

100

x×2×5

​

=y+

100

y×3×5

​

=z+

100

z×4×5

​

⇒x+

10

x

​

=y+

20

3y

​

=z+

5

z

​

10

11x

​

=

20

23y

​

=

5

6z

​

=k(say)

∴x=

11

10k

​

,y=

23

20k

​

,z=

6

5k

​

Given, x+y+z=2379

⇒

11

10k

​

+

23

20k

​

+

6

5k

​

=2379

⇒

1518

1380k+1320k+1265k

​

=2379

⇒3965k=2379×1518

⇒k=

3965

2379×1518

​

⇒ First part = Rs.

11×5

10×3×1518

​

= Rs. 828