If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a c

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Question
If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:
Options
A. Rs. 20
B. Rs. 21.81
C. Rs. 22
D. Rs. 18.33

Correct Answer

Rs. 18.33

Explanation

S.I. on Rs. (110 - 10) for a certain time = Rs. 10. S.I. on Rs. 100 for double the time = Rs. 20.

T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20.

T.D. on Rs. 110 = Rs.	❨	20	x 110	❩	= Rs. 18.33
		120

True Discount problems

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1. A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay?
Options
A. Rs. 9025.20
B. Rs. 9200
C. Rs. 9600
D. Rs. 9560

2. The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:
Options
A. 12%
B. 14%
C. 15%
D.

16 2 %

3

3. If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:
Options
A. Rs. 768
B. Rs. 968
C. Rs. 1960
D. Rs. 2400

4. A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
Options
A. Rs. 207.40
B. Rs. 534.60
C. Rs. 648
D. Rs. 655.60

5. 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:
Options
A. Rs. 4800
B. Rs. 5000
C. Rs. 5400
D. Rs. 5600

6. A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:
Options
A. gains Rs. 55
B. gains Rs. 50
C. loses Rs. 30
D. gains Rs. 30

7. A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
Options
A. 0%
B. 5%
C. 7.5%
D. 10%

8. The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:
Options
A. 6 months
B. 8 months
C. 9 months
D. 10 months

9. 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

10. The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:
Options
A. Rs. 1325
B. Rs. 1300
C. Rs. 1350
D. Rs. 1500

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