True Discount problems
- 1. The present worth of Rs.1404 due in two equal half-yearly instalments at 8% per annum. Simple interest is:
Options- A. 1320
- B. 1300
- C. 1325
- D. 1200 Discuss
Correct Answer: 1325
Explanation:
Required Sum = PW of Rs.702 due 6 months hence + PW of Rs.702 due 1 year hence
= Rs.[ (100 x 702) / (100+(8 x 1/2)) ] + [ (100 x 702) / (100+(8 x 1)) ]
= Rs.1325
- 2. A man wants to sell his scooter .There are two offers one at Rs12000 cash and other at a credit of Rs12880 to be paid after 8 months ,money being at 18% per annum which is better offer?
Options- A. Rs.12880
- B. Rs.12000
- C. Both are equally good
- D. None of the above Discuss
Correct Answer: Rs.12000
Explanation:
PW of Rs.12,880 due 8 months hence
= Rs. [12880 x 100] / [100+(18 x 8/12)] =Rs.11500
Clearly 12000 in cash is a better offer.
- 3. Which is a better offer out of (i) a cash payment now of Rs.8100 or (ii) a credit of Rs.8250 after 6 months(6.5% S.I)
Options- A. (i)
- B. (ii)
- C. both (i) and (ii)
- D. none Also asked in: Bank Exams, Bank PO
Correct Answer: (i)
Explanation:
PW =
- 4. If Rs.10 be allowed as true discount on a bill of Rs.110 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. 18.20
- B. 18.33
- C. 18
- D. 18.30 Discuss
Correct Answer: 18.33
Explanation:
Present worth = Amount - True Discount = 110 -10 = Rs.100
SI on Rs.100 for a certain time = Rs.10
SI on Rs.100 for doube the time = Rs.20
True Discount on Rs.120 = 120 - 100 = Rs.20
True Discount on Rs.110 = = Rs.18.33
- 5. The true discount on a bill due 9 months hence at 12% per annum is Rs. Find the amount of the bill and its present worth.
Options- A. 1500
- B. 1600
- C. 6200
- D. 6000 Discuss
Correct Answer: 6000
Explanation:
Let amount be Rs. x.
Then, [X * R * T] / [100+(R * T)]
x= Rs.6540
Amount = Rs. 6540.
P.W. = Rs. (6540 ? 540) =Rs. 6000.
- 6. The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the due period.
Options- A. 6months
- B. 5months
- C. 8months
- D. 3months Also asked in: Bank Exams, Bank PO
Correct Answer: 8months
Explanation:
P.W= Amount ? (T.D)
Time =
- 7. In what time a debt of Rs.7920 due may be cleared by immediate cash down payment of Rs.3600 at 1/2% per month
Options- A. 10years
- B. 20years
- C. 30years
- D. 40years Also asked in: Bank Exams, Bank PO
Correct Answer: 20years
Explanation:
PW =
- 8. If the true discount on sum due 2 years hence at 14% per annum be Rs. 168, the sum due is
Options- A. Rs. 600
- B. Rs. 768
- C. Rs. 878
- D. Rs. 668 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 768
Explanation:
We know that,
P.W = 100×T.D/R×T
= 100×168/14×2
P.W = 600.
Now, required Sum = (P.W. + T.D.)
= Rs. (600 + 168)
= Rs. 768.
- 9. If a cellphone is purchased for Rs.490 and sold for Rs.465.50 find the loss percentage?
Options- A. 10
- B. 5
- C. 20
- D. 15 Discuss
Correct Answer: 5
Explanation:
loss = C.P - S.P = 490 - 465.50 =24.50
loss % = (loss x 100)/C.P = (24.50 x 100)/490 = 5%
- 10. If Rs.20 is the True Discount on Rs260due after a certain time.What wil be true discount on the same sum due after half of the former time, the rate of interest being the same?
Options- A. Rs.9.40
- B. Rs.10.14
- C. Rs.10.40
- D. Rs.9.14 Discuss
Correct Answer: Rs.10.40
Explanation:
Simple Interest on Rs. (260-20) for a gven time= Rs.20
Simple Interest on Rs. (260-20) for a half time = Rs.10
True Discount on Rs.250 = Rs.10
True Discount on Rs.260 = Rs.[(10/250) x 260] = Rs. 10.40
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