A man invested 2/5 of his capital at 8% p.a., 3/8 of his
capital at 10% p.a. and the remaining at 12% p.a. If
his annual income at simple interest is 965, then
his capital is
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The capital invested by the man was Rs. 10,000.
Step-by-step explanation:
Capital invested by the man be denoted as “x”.
The man’s annual income at simple interest is given as Rs. 965
Simple Interest = P x R X t / 100
Now by using the formula
2/5x x 8 x 1 /100 + 3/8x x 10 x 1 /100 + (1- 2/5 - 3/8)x x 12 x 1/100 = 965
2/5x x 8 /100 + 3/8x x 10/100 + 9/40x x 12/100 = 965
16x /5 + 30x /8 + 108x/40 = 965 x 100
128x + 150x + 108x/40 = 96500
386x = 96500 x 40
x = 3860000/386
x = 10,000
Thus, the capital invested by the man was Rs. 10,000
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