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Q:

A man wants to sell his scooter .There are two offers one at Rs12000 cash and other at a credit of Rs12880 to be paid after 8 months ,money being at 18% per annum which is better offer?

A) Rs.12880 B) Rs.12000
C) Both are equally good D) None of the above
 
Answer & Explanation Answer: B) Rs.12000

Explanation:

PW of Rs.12,880 due 8 months hence  

= Rs. [12880 x 100] / [100+(18 x 8/12)] =Rs.11500 

Clearly 12000 in cash is a better offer.

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Filed Under: True Discount

Q:

The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is

A) Rs.2 B) Rs.3
C) Rs.4 D) Rs.5
 
Answer & Explanation Answer: B) Rs.3

Explanation:

S.I. = Rs.(1200*10*1)/100=rs.120

C.I. =rs[1200*(1+5/100)2-1200]=rs.123

Difference = Rs.(123-120) =Rs.3

 

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Filed Under: Compound Interest
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Q:

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time

A) Rs.51.25 B) Rs.61.25
C) Rs.51 D) Rs.42
 
Answer & Explanation Answer: A) Rs.51.25

Explanation:

Sum = Rs.(50*100)/2*5=Rs.500

Amount=Rs.[500*(1+5/100)2]

= Rs. 551.25

 

 C.I = Rs.(551.25-500)= Rs.51.25

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Q:

If Rs.10 be allowed as true discount on a bill of Rs.110 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) 18.20 B) 18.33
C) 18 D) 18.30
 
Answer & Explanation Answer: B) 18.33

Explanation:

Present worth  = Amount - True Discount = 110 -10 = Rs.100 

SI on Rs.100 for a certain time = Rs.10

SI on Rs.100 for doube the time = Rs.20 

True Discount on Rs.120 = 120 - 100 = Rs.20 

True Discount on Rs.110 = 110×20120 = Rs.18.33

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Q:

A has to pay Rs.220 to B after 1yr. B asks A to pay Rs.110 in cash and defer the payment of Rs.110 for 2 yrs. A agrees to it. If the rate of interest be 10% per annum in this mode of payment:

A) A gains Rs.11 B) There is No gain or loss
C) A losses 7.43 D) A gains Rs. 7.34
 
Answer & Explanation Answer: D) A gains Rs. 7.34

Explanation:

A has to pay = Present worth of Rs220 due 1yr hence  

= Rs.[(220 x 100)/100+(10 x 1)] = Rs.200 

 

A actually pays = Rs.110+PW  of Rs.110 due 2 yrs hence 

= [110+(110 x 100)] / [100+(10 x 2)] = Rs.192.66  

 

So, A gains Rs. (200-192.66) = Rs.7.34

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Q:

If Rs.20 is the True Discount on Rs260due after a certain time.What wil be true discount on the same sum due after half of the former time, the rate of interest being the same?

A) Rs.9.40 B) Rs.10.14
C) Rs.10.40 D) Rs.9.14
 
Answer & Explanation Answer: C) Rs.10.40

Explanation:

Simple Interest on Rs. (260-20) for a gven time= Rs.20 

Simple Interest on Rs. (260-20) for a half time  = Rs.10 

True Discount on Rs.250 = Rs.10  

True Discount on Rs.260 = Rs.[(10/250) x 260] = Rs. 10.40

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Q:

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

A) Rs.1550 B) Rs.1650
C) Rs,1750 D) Rs.1850
 
Answer & Explanation Answer: C) Rs,1750

Explanation:

C.I.= Rs.[4000*(1+10/100)^2-4000]

 =Rs.840

sum=Rs.(420 * 100)/3*8=Rs.1750

 

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Filed Under: Compound Interest
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Q:

The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is

A) 6.06% B) 6.07%
C) 6.08% D) 6.09%
 
Answer & Explanation Answer: D) 6.09%

Explanation:

Amount of Rs. 100 for 1 year

when compounded half-yearly = Rs.[100*(1+3/100)^2]=Rs.106.09

Effective rate=(106.09-100)%=6.09%

 

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Filed Under: Compound Interest
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