Discount, General Mathematics

Question: The present worth of Rs.`2310` due `2 1/2` years hence, the rate of interest being `15%` per annum, is :
A
`Rs. 1750`

B
`Rs. 1680`

C
`Rs. 1840`

D
`Rs.1443.75`

Note: `p.w. = Rs.((100 xx 2310)/(100 + (15 xx 5/2))` `= Rs. 1680.`
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Question: If the true discount on a sum due `2` years hence at `14%`per annum be Rs. 168, the sum due is :
A
`Rs. 768`

B
`Rs. 968`

C
`Rs. 1960`

D
`Rs. 2400`

Note: p.w. = (100 xx T. D.)/(R xx T)` `= (100 xx 168)/(14 xx 2)` `= 600` :. sum = (p. W. + T. D) `= Rs. (600 + 168)` `= Rs. 768.`
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Question: The true discount on Rs. `2562` due `4` months hence is Rs. `122`. The rate per cent is :
A
`12%`

B
`13 1.3%`

C
`15%`

D
`14%`

Note: p.w = Rs. (2562 - 122)` `= Rs. 2440. `:. S.l. on Rs. 2440` For `4` month is Rs. `122`. `:. Rate = ((100 xx 122)/(2440 xx 1/3))%` `= 15%`
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Question: 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 :
A
`6 months`

B
`8 months`

C
`9 months`

D
`10 months`

Note: `p.w. = `(1760 - 160)` `= Rs. 1600` `:. S.l. on Rs. 1600 at`12%` is Rs. 160`. `:. Time = ((100 xx 160)/(1600 xx 12))` `= 5/6 years` `= (5/6 xx 12) months ` `= 10 months
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Question: The true discount on a bill due `9` months hence at `16%` per annum is Rs. `189`. The amount of the bill is :
A
`Rs. 1386`

B
`Rs. 1764`

C
Rs. 1575`

D
`Rs. 2268`

Note: Let p.w. be Rs. x. Then, S.l on Rs. x at `16%` for `9` months `= Rs. 189.` `:. x xx 16 xx 9/12 xx 1/100` `= 189 or x 1575.` `:. P.W. = Rs. 1575.` `:. sum due = P.W. + T.D.` `= Rs. (1575 + 189)` `= Rs. 1764.`
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Question: 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 :
A
`12%`

B
`14%`

C
`15%`

D
`16 2/3%`

Note: S.l. on Rs.`750 T.D. on Rs. 960.` This means p.w. of Rs.`960. due `2` years hence is `Rs. 750.` `:. T.D. = Rs. (960 - 750)` `= Rs. 210.` Thus, S.l on Rs.`750` for `2` years is Rs.`210` :. Rate` = ((100 xx 210)/(750 xx 2))%` `= 14%`
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Question: The simple interest and the true discount oa a certain sum for a given time and at a given rate are Rs. `85` and Rs.`80`respectively. The sum is :
A
`Rs. 1800`

B
`Rs. 1450`

C
`Rs.1360`

D
`Rs. 6800`

Note: Sum`= (S.l. xx T.D.)/((S.l.) - (T.D.))` `= (85 xx 80)/(85 - 80)` `= Rs. 1360.`
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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 :
A
`Rs.20`

B
`Rs. 21.81`

C
`Rs. 22`

D
`rs. 18.33`

Note: S.l. on Rs.`(110 - 10)` for a certain time = Rs.`10` S.l 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/ 120 xx 110)` `= Rs. 18.33.`
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Question: A man wants to sell his scooter. There are two offers one at Rs.`12000` cash and the other at a credit of Rs. `12880` to be paid after `8` months money being at `18%` per annum. Which is the better offer ?
A
`Rs. 12000` in cash

B
`Rs. 128880` at credit

C
Both are equally good

Note: `p.w. of Rs. 12880`due `8` months hence `= Rs. [(12880 xx 100)/(100 + (18 xx 8/12)]` `= Rs. ((12880 xx 100)/(112))` `= Rs. 11500. cearly, Rs. `12000` in cash is a better offer.
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Question: Goods were bought for Rs.`600` and sold the same day for Rs.`688.50` at a credit of `9` months and thus gaining `2%`. The rate of interest per annum is :
A
`16 2/3%`

B
`14 1/2%`

C
`13 1/3%`

D
`15%`

Note: S.P.`= 102%` of `Rs. 600` `=Rs. (102/100 xx 600)` `= Rs. 612` Now, P.W.`= Rs. 612` and sum `=Rs. 688.50.` :. T. D. = Rs. (688.50 - 612)` `= Rs. 76.50.` Thus, S.I. on `Rs. 612` for `9` months is `Rs. 76.50.` :. Rate`= ((100 xx 76.50)/(612 xx 3/4))%` `= 16 2/3%`.
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Question: The present worth of Rs.`2310` due `2 1/2` years hence, the rate of interest being `15%` per annum, is :

Question: If the true discount on a sum due `2` years hence at `14%`per annum be Rs. 168, the sum due is :

Question: The true discount on Rs. `2562` due `4` months hence is Rs. `122`. The rate per cent is :

Question: 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 :

Question: The true discount on a bill due `9` months hence at `16%` per annum is Rs. `189`. The amount of the bill is :

Question: 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 :

Question: The simple interest and the true discount oa a certain sum for a given time and at a given rate are Rs. `85` and Rs.`80`respectively. The sum is :

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 :

Question: A man wants to sell his scooter. There are two offers one at Rs.`12000` cash and the other at a credit of Rs. `12880` to be paid after `8` months money being at `18%` per annum. Which is the better offer ?

Question: Goods were bought for Rs.`600` and sold the same day for Rs.`688.50` at a credit of `9` months and thus gaining `2%`. The rate of interest per annum is :