What sum will discharge a debt of Rs. 5300 due a year and a half hence at 4% per

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Question
What sum will discharge a debt of Rs. 5300 due a year and a half hence at 4% per annum?
Options
A. Rs. 5000
B. Rs. 4500
C. Rs. 4200
D. Rs. 5250

Correct Answer

Rs. 5000

Explanation

Required sum = (100 x 5300) / {(100 + (3/2) x 4)}
= (100 x 5300) / 106 = Rs. 5000

True Discount problems

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1.
A man purchased a cow for Rs. 300 and sold it the same day for Rs. 360, allowing the buyer at the credit of 2 years. If the rate of interest be 7 ¹/ ₂% per annum, then the man has a gain of?
Options
A. 41/2%
B. 53/7%
C. 6%
D. 5%

2.
A owes B, Rs. 1120 payable 2 years hence and B owes A, Rs. 1081.50 payable 6 months hence. If they decide to settle their accounts forthwith by payment of ready money and the rate of interest be 6% per annum, then who should pay and how much?
Options
A. A Rs. 50
B. B Rs. 50
C. A Rs. 70
D. B Rs. 70

3.
Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
Options
A. Rs. 10
B. Rs. 10.40
C. Rs. 15.20
D. Rs. 13

4.
A has to pay Rs. 220 to B after 1 year. B asks A to pay Rs. 110 in cash and defer the payment of Rs. 110 for 2 years. A agrees to it. Counting the rate of interest at 10% per annum in this new mode of payment?
Options
A. There is no gain or loss to ant one
B. A gains Rs. 7.34
C. A loses Rs. 7.34
D. A loses Rs. 1.66

5.
I want to sell my scooter. There are two offers, One at cash payment of Rs. 8100 and another at a credit of Rs. 8250 to be paid after 6 months. If money being worth 6 ¹/ ₄% per annum simple interest, which is the better offer?
Options
A. Rs. 8100 in cash
B. Rs. 8250 due 6 months hence
C. Both are equally good
D. Ca't be said

6.
The true discount on Rs. 2575 due 4 months hence is Rs. 75. The rate percent is?
Options
A. 6%
B. 8%
C. 9%
D. 5%

7.
Find the present worth (PW) and the true discount reckoning 6% per annum simple interest of Rs. 176 due in 20 months time?
Options
A. Rs. 160, Rs. 16
B. Rs. 130, Rs. 46
C. Rs. 150, Rs. 26
D. None of these

8.
The true discount on Rs. 1860 due after a certain time at 5% is Rs. 60. The time after which it is due is?
Options
A. 6 months
B. 8 months
C. 9 months
D. 10 months

9.
The true discount on a bill a due 8 months hence at 12% per annum is Rs. 240. Find the amount of the bill and its present worth?
Options
A. Rs. 3000, Rs . 3240
B. Rs. 2000, Rs . 2240
C. Rs. 2100, Rs . 2340
D. None of these

10.
The difference between the simple interest and the true discount on a certain sum for 6 months at 4% is Rs. 15. Find the sum?
Options
A. Rs. 32850
B. Rs. 28250
C. Rs. 38250
D. Rs. 38350

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