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Stocks and Shares: Formulas, Shortcuts and Solved Examples — MCQs with Answers (Set 4)

Suppose a company needs money. It splits itself into small pieces called shares and sells them to many people. The government does the same with stock . Buyers get a yearly payment in return.

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Q1. Find the annual income derived from Rs 3000, 15/2% stock at 117.

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Answer: D

This is a 15/2% stock, so it pays Rs 15/2 a year for every Rs 100 of face value. Dividend is always calculated on face value, never on market value. The market price of Rs 117 given here has no effect on this calculation. Here the investor holds Rs 3000 of face value. Income = (15/2/100) x 3000 = Rs 225. Check: Rs 225 divided by 3000, then multiplied by 100, gives back Rs 15/2, the quoted rate.

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Q2. Find the annual income derived from Rs 4400, 15% stock at 70.

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Answer: D

This is a 15% stock, so it pays Rs 15 a year for every Rs 100 of face value. Dividend is always calculated on face value, never on market value. The market price of Rs 70 given here has no effect on this calculation. Here the investor holds Rs 4400 of face value. Income = (15/100) x 4400 = Rs 660. Check: Rs 660 divided by 4400, then multiplied by 100, gives back Rs 15, the quoted rate.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q3. Find the annual income derived from Rs 9200, 10% stock at 124.

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Answer: C

This is a 10% stock, so it pays Rs 10 a year for every Rs 100 of face value. Dividend is always calculated on face value, never on market value. The market price of Rs 124 given here has no effect on this calculation. Here the investor holds Rs 9200 of face value. Income = (10/100) x 9200 = Rs 920. Check: Rs 920 divided by 9200, then multiplied by 100, gives back Rs 10, the quoted rate.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q4. Find the annual income derived from Rs 800, 12% stock at 79.

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Answer: A

This is a 12% stock, so it pays Rs 12 a year for every Rs 100 of face value. Dividend is always calculated on face value, never on market value. The market price of Rs 79 given here has no effect on this calculation. Here the investor holds Rs 800 of face value. Income = (12/100) x 800 = Rs 96. Check: Rs 96 divided by 800, then multiplied by 100, gives back Rs 12, the quoted rate.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q5. Find the annual income derived from Rs 8300, 12% stock at 116.

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Answer: B

This is a 12% stock, so it pays Rs 12 a year for every Rs 100 of face value. Dividend is always calculated on face value, never on market value. The market price of Rs 116 given here has no effect on this calculation. Here the investor holds Rs 8300 of face value. Income = (12/100) x 8300 = Rs 996. Check: Rs 996 divided by 8300, then multiplied by 100, gives back Rs 12, the quoted rate.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q6. Find the annual income derived from Rs 1600, 10% stock at 88.

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Answer: D

This is a 10% stock, so it pays Rs 10 a year for every Rs 100 of face value. Dividend is always calculated on face value, never on market value. The market price of Rs 88 given here has no effect on this calculation. Here the investor holds Rs 1600 of face value. Income = (10/100) x 1600 = Rs 160. Check: Rs 160 divided by 1600, then multiplied by 100, gives back Rs 10, the quoted rate.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q7. Find the annual income derived from Rs 6200, 13/2% stock at 90.

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Answer: A

This is a 13/2% stock, so it pays Rs 13/2 a year for every Rs 100 of face value. Dividend is always calculated on face value, never on market value. The market price of Rs 90 given here has no effect on this calculation. Here the investor holds Rs 6200 of face value. Income = (13/2/100) x 6200 = Rs 403. Check: Rs 403 divided by 6200, then multiplied by 100, gives back Rs 13/2, the quoted rate.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q8. Find the annual income derived from Rs 4100, 5% stock at 73.

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Answer: C

This is a 5% stock, so it pays Rs 5 a year for every Rs 100 of face value. Dividend is always calculated on face value, never on market value. The market price of Rs 73 given here has no effect on this calculation. Here the investor holds Rs 4100 of face value. Income = (5/100) x 4100 = Rs 205. Check: Rs 205 divided by 4100, then multiplied by 100, gives back Rs 5, the quoted rate.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q9. Find the annual income derived from Rs 5600, 17/2% stock at 119.

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Answer: B

This is a 17/2% stock, so it pays Rs 17/2 a year for every Rs 100 of face value. Dividend is always calculated on face value, never on market value. The market price of Rs 119 given here has no effect on this calculation. Here the investor holds Rs 5600 of face value. Income = (17/2/100) x 5600 = Rs 476. Check: Rs 476 divided by 5600, then multiplied by 100, gives back Rs 17/2, the quoted rate.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q10. Find the annual income derived from Rs 5500, 15% stock at 133.

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Answer: B

This is a 15% stock, so it pays Rs 15 a year for every Rs 100 of face value. Dividend is always calculated on face value, never on market value. The market price of Rs 133 given here has no effect on this calculation. Here the investor holds Rs 5500 of face value. Income = (15/100) x 5500 = Rs 825. Check: Rs 825 divided by 5500, then multiplied by 100, gives back Rs 15, the quoted rate.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q11. Find the annual income derived from Rs 8200, 8% stock at 106.

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Answer: D

This is a 8% stock, so it pays Rs 8 a year for every Rs 100 of face value. Dividend is always calculated on face value, never on market value. The market price of Rs 106 given here has no effect on this calculation. Here the investor holds Rs 8200 of face value. Income = (8/100) x 8200 = Rs 656. Check: Rs 656 divided by 8200, then multiplied by 100, gives back Rs 8, the quoted rate.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q12. Find the cost of Rs 7400, 6% stock at 11 discount.

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Answer: A

The stock is quoted at a discount of Rs 11 on its face value of Rs 100. So market price = Rs (100 – 11) = Rs 89 per Rs 100 of face value. Here the investor buys Rs 7400 worth of face value. Cost = (89/100) x 7400 = Rs 6586. Check: Rs 6586 divided by 7400, then multiplied by 100, gives back Rs 89, confirming the discount price.

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Q13. Find the cost of Rs 4400, 5% stock at 23 premium.

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Answer: C

The stock is quoted at a premium of Rs 23 on its face value of Rs 100. So market price = Rs (100 + 23) = Rs 123 per Rs 100 of face value. Here the investor buys Rs 4400 worth of face value. Cost = (123/100) x 4400 = Rs 5412. Check: Rs 5412 divided by 4400, then multiplied by 100, gives back Rs 123, confirming the premium price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q14. Find the cost of Rs 5000, 9% stock at 7 premium.

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Answer: D

The stock is quoted at a premium of Rs 7 on its face value of Rs 100. So market price = Rs (100 + 7) = Rs 107 per Rs 100 of face value. Here the investor buys Rs 5000 worth of face value. Cost = (107/100) x 5000 = Rs 5350. Check: Rs 5350 divided by 5000, then multiplied by 100, gives back Rs 107, confirming the premium price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q15. Find the cost of Rs 7600, 15/2% stock at 9 premium.

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Answer: A

The stock is quoted at a premium of Rs 9 on its face value of Rs 100. So market price = Rs (100 + 9) = Rs 109 per Rs 100 of face value. Here the investor buys Rs 7600 worth of face value. Cost = (109/100) x 7600 = Rs 8284. Check: Rs 8284 divided by 7600, then multiplied by 100, gives back Rs 109, confirming the premium price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q16. Find the cost of Rs 8000, 5% stock at 24 discount.

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Answer: C

The stock is quoted at a discount of Rs 24 on its face value of Rs 100. So market price = Rs (100 – 24) = Rs 76 per Rs 100 of face value. Here the investor buys Rs 8000 worth of face value. Cost = (76/100) x 8000 = Rs 6080. Check: Rs 6080 divided by 8000, then multiplied by 100, gives back Rs 76, confirming the discount price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q17. Find the cost of Rs 3600, 8% stock at 20 discount.

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Answer: B

The stock is quoted at a discount of Rs 20 on its face value of Rs 100. So market price = Rs (100 – 20) = Rs 80 per Rs 100 of face value. Here the investor buys Rs 3600 worth of face value. Cost = (80/100) x 3600 = Rs 2880. Check: Rs 2880 divided by 3600, then multiplied by 100, gives back Rs 80, confirming the discount price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q18. Find the cost of Rs 1000, 17/2% stock at 5 premium.

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Answer: D

The stock is quoted at a premium of Rs 5 on its face value of Rs 100. So market price = Rs (100 + 5) = Rs 105 per Rs 100 of face value. Here the investor buys Rs 1000 worth of face value. Cost = (105/100) x 1000 = Rs 1050. Check: Rs 1050 divided by 1000, then multiplied by 100, gives back Rs 105, confirming the premium price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q19. Find the cost of Rs 9100, 5% stock at 12 discount.

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Answer: B

The stock is quoted at a discount of Rs 12 on its face value of Rs 100. So market price = Rs (100 – 12) = Rs 88 per Rs 100 of face value. Here the investor buys Rs 9100 worth of face value. Cost = (88/100) x 9100 = Rs 8008. Check: Rs 8008 divided by 9100, then multiplied by 100, gives back Rs 88, confirming the discount price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q20. Find the cost of Rs 3400, 12% stock at 17 premium.

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Answer: C

The stock is quoted at a premium of Rs 17 on its face value of Rs 100. So market price = Rs (100 + 17) = Rs 117 per Rs 100 of face value. Here the investor buys Rs 3400 worth of face value. Cost = (117/100) x 3400 = Rs 3978. Check: Rs 3978 divided by 3400, then multiplied by 100, gives back Rs 117, confirming the premium price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q21. Find the cost of Rs 6400, 4% stock at 10 premium.

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Answer: A

The stock is quoted at a premium of Rs 10 on its face value of Rs 100. So market price = Rs (100 + 10) = Rs 110 per Rs 100 of face value. Here the investor buys Rs 6400 worth of face value. Cost = (110/100) x 6400 = Rs 7040. Check: Rs 7040 divided by 6400, then multiplied by 100, gives back Rs 110, confirming the premium price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q22. Find the cost of Rs 8600, 9% stock at 24 discount.

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Answer: B

The stock is quoted at a discount of Rs 24 on its face value of Rs 100. So market price = Rs (100 – 24) = Rs 76 per Rs 100 of face value. Here the investor buys Rs 8600 worth of face value. Cost = (76/100) x 8600 = Rs 6536. Check: Rs 6536 divided by 8600, then multiplied by 100, gives back Rs 76, confirming the discount price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q23. Find the cost of Rs 9300, 5% stock at 23 premium.

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Answer: D

The stock is quoted at a premium of Rs 23 on its face value of Rs 100. So market price = Rs (100 + 23) = Rs 123 per Rs 100 of face value. Here the investor buys Rs 9300 worth of face value. Cost = (123/100) x 9300 = Rs 11439. Check: Rs 11439 divided by 9300, then multiplied by 100, gives back Rs 123, confirming the premium price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q24. Find the cost of Rs 4100, 6% stock at 118.

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Answer: A

The stock is quoted at Rs 118 for every Rs 100 of face value. So Rs 100 face value of this stock costs Rs 118. Here the investor buys Rs 4100 worth of face value. Cost = (market price / 100) x face value bought. Cost = (118/100) x 4100 = Rs 4838. Check: Rs 4838 divided by 4100, then multiplied by 100, gives back Rs 118, the quoted price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

Q25. Find the cost of Rs 800, 15/2% stock at 76.

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Answer: C

The stock is quoted at Rs 76 for every Rs 100 of face value. So Rs 100 face value of this stock costs Rs 76. Here the investor buys Rs 800 worth of face value. Cost = (market price / 100) x face value bought. Cost = (76/100) x 800 = Rs 608. Check: Rs 608 divided by 800, then multiplied by 100, gives back Rs 76, the quoted price.

Related topics: Stocks and Shares: Formulas, Shortcuts and Solved Examples

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