Discount
 Two successive discounts of 20% and 5% are equivalent to a single discount of

 25%
 24%
 18%
 15%

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Here, r_{1} = 20% and r_{2} = 5%
∴ Required percentage
= r_{1} + r_{2}  (r_{1} x r_{2})/100%Correct Option: B
Here, r_{1} = 20% and r_{2} = 5%
∴ Required percentage
= r_{1} + r_{2}  (r_{1} x r_{2})/100%
= 20 + 5  (20 x 5)/100
= 25  1
=24%
 The present worth of ₹ 920 due at the end of 3 years at 5 % simple interest per annum is :

 ₹780
 ₹850
 ₹800
 ₹810
 None of these

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Given : Amount = ₹ 920 , Rate = 5% and Time = 3 years
Present Worth = Amount × 100 100 + ( Rate × Time ) Correct Option: C
Given : Amount = ₹ 920 , Rate = 5% and Time = 3 years
Present Worth = Amount × 100 = ₹ 920 × 100 = ₹ 920 × 100 = ₹ 800 100 + ( Rate × Time ) 100 + ( 3 × 5 ) 115
 If the simple interest on a certain sum is due for some years at 6 % is ₹180, and the discount at 5 % on the same amount is ₹140. Find the sum and the time.


₹ 2100 and 1 3 Year 7 
₹ 2200 and 2 3 Year 7 
₹ 2000 and 2 3 Year 7 
₹ 2300 and 1 3 Year 7  None of these


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Given : Simple Interest = ₹180 , Rate = 6%
Banker 's Discount or Simple Interest at 5% = 180 × 5 = ₹ 150 6
Banker 's Discount = ₹ 150
True Discount at 5% = ₹140.Sum Due = Banker 's Discount × True Discount = 150 × 140 = ₹ 2100 Banker 's Discount  True Discount 150  140 ∴ Time = Interest × 100 years Sum due × Rate Correct Option: A
Given : Simple Interest = ₹180 , Rate = 6%
Banker 's Discount or Simple Interest at 5% = 180 × 5 = ₹ 150 6
Banker 's Discount = ₹ 150
True Discount at 5% = ₹140.Sum Due = Banker 's Discount × True Discount = 150 × 140 = ₹ 2100 Banker 's Discount  True Discount 150  140 ∴ Time = Interest × 100 years Sum due × Rate Time = 180 × 100 = 1 3 Year 2100 × 6 7
 The banker’s gain on a certain sum of money is due for 9 months at 4 % p.a. is ₹2.25. The sum is :

 ₹2575
 ₹2500
 ₹2250
 ₹3250
 None of these

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Here , Banker 's Gain = ₹2.25 , Time = 9 months = 9 = 3 years 12 4
Banker 's Gain is the interest on True Discount .True discunt = Banker 's Gain × 100 Rate × Time ∴ True Discount ( T.D. ) = 2.25 × 100 = ₹ 75 3/4 × 4
Banker 's Discount ( B.D. ) = True Discount ( T.D. ) + Banker 's Gain ( B.G. )
B.D.= ₹75 + ₹2.25 = ₹77.25∴ Sum due = B.D. × T.D. B.G.
Correct Option: A
Here , Banker 's Gain = ₹2.25 , Time = 9 months = 9 = 3 years 12 4
Banker 's Gain is the interest on True Discount .True discunt = Banker 's Gain × 100 Rate × Time ∴ True Discount ( T.D. ) = 2.25 × 100 = ₹ 75 3/4 × 4
Banker 's Discount ( B.D. ) = True Discount ( T.D. ) + Banker 's Gain ( B.G. )
B.D.= ₹75 + ₹2.25 = ₹77.25∴ Sum due = B.D. × T.D. = ₹ 77.25 × 75 B.G. 2.25
Sum due = ₹ 2575.
 The present worth of a bill of ₹1764 due for 2 years at 5 % compound interest is :

 ₹1650
 ₹1700
 ₹1600
 ₹1714
 None of these

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Given that : Amount = ₹1764 , Rate = 5% and Time = 2 years
∴ Present Worth ( P.W. ) = Amount ÷ 1 + Rate ^{Time} 100
Correct Option: C
Given that : Amount = ₹1764 , Rate = 5% and Time = 2 years
∴ Present Worth ( P.W. ) = Amount ÷ 1 + Rate ^{Time} 100 P.W. = ₹1764 ÷ 1 + 5 × 1 + 5 100 100 = ₹1764 × 440 = ₹1600 441