Question
Divide Rs. 2379 into 3 parts so that their amount 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:
Answer: Option D
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Let the parts be a, b and [2379 - (a + b)].
a +
(a x 2 x
5
)= b +
(b x 3 x
5
)= c +
(c x 4 x
5
)
100
100
100
11a
=
23b
=
6c
= K
=>
a =
10K
, b =
20K
, c =
5K
10
20
5
11
23
6
But a + b + c = 2379
10K
+
20K
=
5k
= 2379
1380K + 1320K + 1265K = 2379 x 11 x 23 x 6
11
23
6
K =
2379 x 11 x 23 x 6
=
3 x 11 x 23 x 6
3965
5
a =
10
x
3 x 11 x 23 x 6
= 828.
11
5
Hence, the first part is Rs. 828.
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