16.
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%
• C.
15%
• B.
14%
•  D.16 2 % 3
• Report
Explanation :
S.I. 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.I. on R.s 750 for 2 years is Rs. 210.
Rate =
 100 x 210 750 x 2
% = 14%
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17.
Find the present worth (PW) and the true discount reckoning 6% per annum simple interest of Rs. 176 due in 20 months time –
• A.
Rs. 160, Rs. 16
• C.
Rs. 150, Rs. 26
• B.
Rs. 130, Rs. 46
• D.
None of these
• Report
Explanation :

 P.W. =
100 x 176
100 + 6 x
 20 12

 = 160

 T.D. = Amount – Present worth
 = Rs. 176 - Rs. 160
 = Rs. 16
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18.
The present worth of a bill due 7 months hence is Rs. 1200 and if the bill were due at the end
of 2
 1 2
years, its present worth would be Rs. 1016. Find the rate percent and the sum of the
bill -
• A.
10%, Rs. 1270
• C.
16%, Rs. 1570
• B.
8%, Rs. 1720
• D.
18%, Rs. 1560
• Report
Explanation :
Sum due = P.W. + T.D. = P.W. + S.I. on P.W.
Now, sum due = (Rs. 1200 + S.I. on Rs. 1200 for 7 months)
Also, sum due =   Rs. 1016 + S.I. on Rs. 1016 for
 5 2
years
Rs. 1200 + S.I. on Rs.
1200 x
 7 12

for 1 year
=     Rs. 1016 + S.I. on Rs.
1016 x
 5 2

for 1 year
(Rs. 1200 + S.I. on Rs. 700 for 1 year) = {Rs. 1016 + S.I.on Rs. 2540 for 1 year}
S.I. on Rs.(2540 – 700) for 1 year = Rs. (1200 – 1016)
S.I. on Rs. 1840 for 1 year = Rs. 184
Rate =
 100 x 184 1840 x 1
= 10%
Also, sum due = Rs. 1200 + (S.I. on Rs. 1200 for 7 months ar 10%)
= Rs.   1200 +
1200 x
 7 12
x
 10 100

 = Rs. 1270
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19.
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
• C.
Rs. 22
• B.
Rs. 21.81
• D.
Rs. 18.33
• Report
Explanation :
S.I. on Rs. (110 - 10) for a given time = Rs. 10

S.I. on Rs. 100 for double the time = Rs. 20

 Sum = Rs. (100 + 20) = Rs. 120
T.D. on Rs. 110 = Rs.
 20 120
x 110
 = Rs. 18.33
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20.
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
• C.
Rs. 22
• B.
Rs. 21.81
• D.
Rs. 18.33