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- Question
- The true discount on a certain sum money due 4 yr hence is ? 75 and the simple interest on the same sum for the same time and at the same rate of interest is ? 225. Find the rate per cent.
Options- A. 25%
- B. 50%
- C. 31%
- D. 45%
- Correct Answer
- 50%
ExplanationGiven that, SI = ? 225, TD = ? 75,
T = 4 yr and R = ?
According to the formula,
SI - TD = (TD x R x T)/100
? 225 - 75 = (75 x R x 4)/100
? 150 = (75 x R x 4) /100
? 3R = 150
R = 50% - 1. Find the sum due, if the true discount on a sum due 2 yr hence at 7% be ? 672.
Options- A. ? 5500
- B. ? 5425
- C. ? 5472
- D. ? 5300 Discuss
- 2. What will be the present worth of ? 3720 due 3 yr hence at 8% per annum? Also, find the true discount.
Options- A. PW = ? 3000 and TD = ? 720
- B. PW =? 15000 and TD = ? 720
- C. PW = ? 3000 and TD = ? 320
- D. PW = ? 1000 and TD = ? 420 Discuss
- 3. Find the difference between simple interest and true discount on Rs. 960 due 4 year hence at 5% per annum simple interest?
Options- A. Rs. 32
- B. Rs. 52
- C. Rs. 42
- D. None of these Discuss
- 4. 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 Discuss
- 5. 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 Discuss
- 6. Vandana bought a watch for ? 600 and sold it the same day for ? 688.50 at a credit of 9 months and this way she gained 2%. Find the rate of interest per annum.
Options- A. 162/3%
- B. 152/3%
- C. 112/3%
- D. 52/3% Discuss
- 7. The present worth of Rs. 1404 due in two equal half yearly instalments?
Options- A. Rs. 1325
- B. Rs. 1300
- C. Rs. 1350
- D. Rs. 1500 Discuss
- 8. A owes B Rs. 456.75 payable 4 1/ 2 months hence and B owes A Rs. 455.51 payable 3 months hence. If they agree to settle their account by a ready money payment. What sum should be paid over and to whom reckoning the rate of true discount at 4 per cent per annum?
Options- A. Re.1`,A
- B. Rs. 2,B
- C. Rs. 2,A
- D. Re. 1, B Discuss
- 9. Kailash wants to sell his television.There are to two offers, one at ? 10000 cash and the other at a credit of ? 6440 to be paid after 8 months, money being at 18% per annum. Which one is better offer?
Options- A. ? 6440 at credit
- B. ? 6440 in cash
- C. ? 6440 at credit and ?10000 in cash both
- D. ? 10000 in cash Discuss
- 10. Jagatram, a trader, owes a merchant. Mangalal ? 5014 due 1 yr hence. Jagatram wants to settle the account after 3 months. If the rate of interest is 12% per annum, how much cash should Jagatram pay?
Options- A. ? 9200
- B. ? 5600`
- C. ? 4600
- D. ? 6600 Discuss
True Discount problems
Search Results
Correct Answer: ? 5472
Explanation:
Given that, R = 7%, T = 2 yr,
TD = ? 672 and Sum due (A) = ?
According to the formula, (3)
TD = (A x R x T) / (100 + R x T)
? 672 = (A x 7 x 2) / (100 + 7 x 2) = 14A/114
? A = (114 x 672)/14 = ? 5472
Correct Answer: PW = ? 3000 and TD = ? 720
Explanation:
Let PW be N.
? 3720 - N = (N x 8 x 3) / 100 = 6N / 25
? 31N = 3720 x 25
? N = (3720 x 25) / 31 = ? 3000
TD = Amount - PW = 3720 - 3000 = ? 720
Correct Answer: Rs. 32
Explanation:
S.I. - T.D. = [A x (R.T)2] / [100(100 + R.T.)]
= [960 x (4 x 5)2] / [100 x (100 + 4 x 5)]
= [(960 x 20 x 20) / (100 x 120)] = Rs. 32
Correct Answer: Rs. 38250
Explanation:
? 15 = [A x (4 x 1/2)2] / [100(100 + 4 x 1/2)]
? 15 = (A x 4) / (100 x 102)
? A = 15 x 25 x 102
? A = Rs. 38, 250.
Correct Answer: Rs. 3000, Rs . 3240
Explanation:
P.W. = (100 x T.D.) / (R x T) = (100 x 240) / (12 x 8/12) = Rs. 3000
? P.W. is Rs. 3000
? A = Amount of bill = P.W. + T.D. = 3000 + 240 = 3240
Correct Answer: 162/3%
Explanation:
SP = 102% of ? 600 = (102/100) x 600 = ? 612
Now, PW = ? 612 and sum = ? 688.50
? TD = 688.50 - 612 = ? 76.50
Thus, SI on ? 612 for 9 months is ? 76.50.
? Rate = (100 x 76.50) / (612 x 3/4)
= (100 x 76.50) / (153 x 3)
=162/3%
Correct Answer: Rs. 1325
Explanation:
Required sum = P.W. of Rs. 702 due 6 months + P.W. of Rs. 702 due 1 year hence.
= Rs. {100 x 702} / {100 + 8 x (1/2)} + Rs. {100 x 702} / {100 + 8 x 1}
? Total P.W. = Rs. (675 + 650)
= Rs. 1325
Correct Answer: Re.1`,A
Explanation:
Time = 41/2 months = 3/8 year,
Rate = 4 percent
? Amount of Rs. 100 = 203/2
? P.W. = Rs. 456.75 / (203/2) x 100 = Rs. 450
Again, time = 3 months = 1/4 year, rate = 4 percent
P.W. = Rs. 455.51 x 100 x 101 = Rs. 451
Hence the required sum to be paid to A = Rs. 451 - Rs. 450 = Re. 1
Correct Answer: ? 10000 in cash
Explanation:
PW of ? 6440 due 8 month hence
= (6440 x 100)/[100 + (18 x 8)/12] = (6440 x 100)/112 = ?5750
clearly, ? 10000 in cash is better offer.
Correct Answer: ? 4600
Explanation:
Required cash = PW of ? 5014 due 9 month hence
= {95014 x 1000} /{100 + 12 x (9/12)}
= (5014 x 100)/(100 + 9)
= (5014 x 100)/109
= ? 4600
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