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प्रश्न
Ashish bought 4500, ₹ 10 shares paying 12% per annum. He sold them when the price rose to ₹ 23 and invested the proceeds in ₹ 25 shares paying 10% per annum, at ₹ 18. Find the change in his annual income.
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उत्तर
Given:
Initial holding: 4500 shares of face value ₹ 10, dividend = 12% p.a.
He sold them at market price = ₹ 23 per share.
Proceeds invested in ₹ 25 shares (face value ₹ 25) paying 10% p.a., bought at market price = ₹ 18 per share.
Step-wise calculation:
1. Annual dividend per initial share
= 12% of ₹ 10
= ₹ 1.20
Total initial annual income
= 4500 × 1.20
= ₹ 5,400
2. Sale proceeds
= 4500 × ₹ 23
= ₹ 1,03,500
3. Number of new (₹ 25) shares bought at ₹ 18
= 1,03,500 ÷ 18
= 5,750 shares
4. Annual dividend per new share
= 10% of ₹ 25
= ₹ 2.50
Total new annual income
= 5,750 × 2.50
= ₹ 14,375
5. Change in annual income
= New income – Initial income
= ₹ 14,375 – ₹ 5,400
= ₹ 8,975 increase
Ashish’s annual income increases by ₹ 8,975.
