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 $\in c a s h i s a b e e r o f f e r .$
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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 ?

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Question: If Rs. 1010 be allowed as true discount on a bill of Rs. 110110 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 :

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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 :