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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:

Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit

A) Rs.8820 B) Rs.8620
C) Rs.8520 D) Rs.8320
 
Answer & Explanation Answer: A) Rs.8820

Explanation:

 

Amount = Rs.8000*1+51002=Rs.8820

 

 

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Q:

A man buys a watch for Rs1950 in cash and sells it for Rs 2200 at a credit of 1 yr. The rate of interest is 10% per annum. Then he gains or loose how much amount?

A) 50 B) 55
C) 15 D) 45
 
Answer & Explanation Answer: A) 50

Explanation:

S.P = P.W of Rs. 2200 due 1yr hence = Rs. [(2200 x 100)/100+(10 x 1)] = Rs.2000 

 

Gain = Rs.(2000-1950) = Rs. 50

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Q:

The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: B) 4

Explanation:

 

 P1+20100n>2P65n>2

 65×65×65×65>2

 

so, answer is 4 years

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Q:

The difference between the simple interest on a certain sum at the rate of 10%per annum for 2 years and compound interest which is compounded every 6 months is Rs.124.05. what is the principal sum

A) Rs.6000 B) Rs.8000
C) Rs.12000 D) none of these
 
Answer & Explanation Answer: B) Rs.8000

Explanation:

Compound Interest on P at 10% for 2 years when interest is compounded half-yearly

 

=P1+R21002T-P=P1+1204-P=P21204-P

 

Simple Interest on P at 10% for 2 years = PRT100=P×10×2100=P5

 

Given that difference between compound interest and simple interest = 124.05

 P*21204-P-P5=124.05

 

=>P21204-1-15=124.05

 P=8000

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Q:

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

A) 1260 B) 210
C) 210 x 6! D) 1512
 
Answer & Explanation Answer: A) 1260

Explanation:

A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways.

Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210×6= 1260

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Q:

The Simple Interest & True Discount on a certain sum of money for a given time & at a given rate are Rs 85 & Rs.80.The sum is:

A) Rs.1350 B) Rs.1360
C) Rs.1316 D) Rs.1200
 
Answer & Explanation Answer: B) Rs.1360

Explanation:

Sum = [(S.I x T.D)/(S.I-T.D)] = (85 x 80)/(85-80) = Rs.1360

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Q:

The difference between the compound interest and simple interest on an amount of Rs.15000 for two years is Rs.96. what is the rate of interest per annum

A) 8 B) 10
C) 12 D) 13
 
Answer & Explanation Answer: A) 8

Explanation:

[15000 *(1+r/100)^2-15000]-(15000*r*2)/100=96

r=8

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