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Q.Which is better investment, 20% stock at ₹ 140 or 10% stock at ₹ 70 ?

Tamil Nadu DgeTamil Nadu HSC First Year (DGE) Commerce Board 2023Subjective· 3mImportance★★★★★
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Rate of return =annual incomeamount invested×100= \dfrac{\text{annual income}}{\text{amount invested}}\times100. Both stocks give 1007≈14.29%\dfrac{100}{7}\approx 14.29\%, so neither is better — they are equally good.

Assumption. Take the face value of each stock as ₹100 (standard convention). Then a "20% stock" pays ₹20 income per ₹100 face value, and a "10% stock" pays ₹10.

Step 1 — 20% stock at ₹140. Investing ₹140 buys ₹100 face value, earning ₹20 per year.

Return=20140×100=1007≈14.29%.\text{Return} = \frac{20}{140}\times100 = \frac{100}{7} \approx 14.29\%.

Step 2 — 10% stock at ₹70. Investing ₹70 buys ₹100 face value, earning ₹10 per year. …

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