A man wishes to invest Rs 2490. He invests Rs 900 in 7/2% stock at 75 , Rs 850 in 3% at 68 and the remainder in 6% stock. If the total yield from his investment in 5% , at what price does he buy the 6% stock?
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SolutionIncome from 7/2% stock at 75 = Rs. 7/2*75 * 900 = Rs.42
Income from 3% stock at 68 = Rs. 3/68 * 850 = Rs. 37.50
Total income from these two stocks = Rs 79.50
But total income from the three stocks Rs. 5/100 * 2490 = Rs.124.50
Therefore Income from the third stock Rs. (124.50 - 79.50) = Rs.45
Investment in this case = Rs.2490 - (900+850) = Rs.740
If income is Rs.45, investment = Rs.740
If income is Rs.6, investment = Rs. 740/45 * 6 = 296/3
So he buys 6% stock at 296/3
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