Rances & Games of Skill, General Mathematics

Question: Rajinder invests a part of Rs. 12000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120 ?
A
Rs. 4500

B
Rs. 5500

C
Rs. 6000

D
Rs. 4000

Note: Let investment in 12% stock be Rs. x. Then, investment in 15% stock` = Rs.(12000 - x).` `12/120 xx x + 15/125 xx (12000 - x) = 1360` `or x/10 xx 3/25 (12000 - x) = 1360` `or 5x + 72000 - 6x` `= 1360 xx 50 or x = 4000.`
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Question: Rs.9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is :
A
Rs. 4800

B
Rs. 5000

C
Rs. 5400

D
Rs. 5600

Note: Let the investment in 9% stock be Rs. x. Then, investment in 10% stock = Rs. (9800 - x) `9/75 xx x = 10/80 xx (9800 - x) or (3x)/25` `= (9800 - x)/8` `or 24x = 9800 xx 25 - 25x or 49x` `= 9800 xx 25 or x = 5000.`
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Question: A man invests some money party in 9% stock at 96 and party in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio :
A
`4 : 5`

B
`16 : 15`

C
`3 : 4`

D
`3 : 5`

Note: For in income of Rs. 1 in 9% stock at 96, investment For an income of Rs 1 in 12% stock at 120, investment `= Rs (120/12)` `= Rs. 10`. :. Ratio of investment` = 32/3 : 10 = 32 : 30 = 16 : 15.
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Question: A man invests in a 16% stock at 128. The interest obtained by him is :
A
16%

B
8%

C
12.5%

D
12%

Note: Not available
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Question: In order to obtain an income of Rs.650 from 10% stock at Rs. 96, one must make an investment of :
A
Rs. 6500

B
Rs. 9600

C
Rs. 3100

D
Rs. 6240

Note: To obtain Rs. 10, investment = Rs. 96 To obtain Rs. 650, investment `= Rs. (96/10 xx 650)` `= Rs. 6240.`
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Question: A 6% stock yields 8%. The market value of the stock is :
A
Rs. 48

B
Rs. 96

C
Rs. 75

D
Rs. 133.33

Note: For an income of Rs.8, investment = Rs. 100 For an income of Rs. 6, investment `= Rs. (100/8 xx 6)` `= Rs. 75`
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Question: A 9% stock yields 8%. The market value of the stock is :
A
Rs. 72

B
Rs. 90

C
Rs. 116.50

D
Rs. 112.50

Note: To obtain Rs.8, investment = Rs. 100 To obtain Rs. 9, investment `= Rs. (100/8 xx 9)` `= Rs. 112.50.` :. Market value of Rs. 100 stock = Rs. 112.50
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Question: BY investing Rs.1620 in 8% stock, Sandeep earns Rs. 135. The stock is then quoted at :
A
Rs.106

B
Rs. 96

C
Rs. 80

D
Rs. 108

Note: To earn Rs.135, investment = Rs.1620. To earn Rs 8, investment`= (1620/135 xx 8)` `= Rs. 96.` :. Market value of Rs. 100 stock = Rs. 96.
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Question: A 12% stock yielding 10% is quoted at :
A
Rs. 120

B
Rs. 112

C
Rs. 83.33

D
Rs. 110

Note: To earn Rs. 10, money invested = Rs. 100 To earn Rs. 12, money invested `= Rs. (100/10 xx 12)` `= Rs. 120.` :. Market value of Rs. 100 stock = Rs. 120.
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Question: The cost price of a Rs. 100 stock at 4 discount, when brokerage is `1/4% is :
A
Rs. 96

B
Rs. 96.25

C
Rs. 95.75

D
Rs. 104.25

Note: C.P `= Rs.(100 - 4 + 1/4)` `= Rs. 96.25`
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Question: Rajinder invests a part of Rs. 12000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120 ?

Question: Rs.9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is :

Question: A man invests some money party in 9% stock at 96 and party in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio :

Question: A man invests in a 16% stock at 128. The interest obtained by him is :

Question: In order to obtain an income of Rs.650 from 10% stock at Rs. 96, one must make an investment of :

Question: A 6% stock yields 8%. The market value of the stock is :

Question: A 9% stock yields 8%. The market value of the stock is :

Question: BY investing Rs.1620 in 8% stock, Sandeep earns Rs. 135. The stock is then quoted at :

Question: A 12% stock yielding 10% is quoted at :

Question: The cost price of a Rs. 100 stock at 4 discount, when brokerage is `1/4% is :