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..

d Rs 828

Step-by-step 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

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

step-by-step explanation: