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