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प्रश्न
A man wishes to invest ₹ 2,490. He invests ₹ 900 in `3 1/2%` stock at 75, 850 in 3% stock at 68 and the remainder in 6% stock. If the total yield from his investments is 5%, at what price did he buy the 6% stock?
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उत्तर
Given:
Total investment = ₹2490
Investments:
₹ 900 in `3 1/2%` = 3.5% stock at ₹ 75
₹ 850 in 3% stock at ₹ 68
The remaining ₹ 740 (2490 – 900 – 850) in 6% stock at unknown price ₹ x
Total yield (income) = 5% of ₹ 2490
= ₹ 124.50
Nominal value `= 900/75xx100`
= ₹ 1200
Income = `3.5/100xx1200`
= ₹ 42
Nominal value `= 850/68xx100`
= ₹ 1250
Income = `3/100xx1250`
= ₹ 37.50
Remaining investment = ₹ 740
Nominal value = `740/x xx100`
Income `= 6/100 xx740/x xx100`
`=4440/x`
Total income = ₹ 124.50
42 + 37.5 `+ 4440/x`
= 124.5
`=>79.5+4440/x`
= 124.5
`=> 4440/x =45`
`=>x=4440/45`
= ₹ 98.67
