17.
A took 40% of a sum at the rate of 15% p. a. 50% of the
remaining sum at the rate of 10% p. a. and the remaining sum
at the rate of 18% p. a. What is the rate of interest p. a. on the
whole sum?
A 160 TT
-
कारगर
Answers
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Let the amount be Rs.x
Investment is done as given below.
Amount left = x−40100x=60x100
40100x at 15% p.a.
50100of 60x100=30x100 at 10% p.a.
Rest amount
=x−40x100−30x100=3x100 at 18% p.a.
Interest earned by each at end of 1 yeas
By 1st => 15100×40x100=601000x
By 2nd => 10100×30x100=301000x
By 3rd => 18100×30x100=541000x
Total interest = 1441000x
Therefore, Rate % = 144x1000x×100 = 14.4%
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