23
Q:

The difference between the compound interest and the simple interest on a certain sum at 12% p.a. for two years is Rs.90. What will be the value of the amount at the end of 3 years?

A) 8560 B) 8673
C) 8746 D) 8780.80

Answer:   D) 8780.80



Explanation:

when interest is reckoned using compound interest, interest being compounded annually. The difference in the simple interest and compound interest for two years is on account of the interest paid on the first year's interest  Hence 12% of simple interest = 90 => simple interest =90/0.12 =750.

As the simple interest for a year = 750 @ 12% p.a., the principal =750/0.12 = Rs.6250.

If the principal is 6250, then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 +3(750) + 3(90) + 1(10.80) = 8780.80.

Q:

Amit borrowed a sum of Rs. 25,000 on simple interest. Bhola borrowed the same amount on compound interest(interest compounded yearly). At the end of 2 years, Bhola had to pay Rs. 160 more interest than Amit. The rate of interest charged per annum is:

 

A) 1625∘∘ B) 825∘∘
C) 8∘∘ D) 318∘∘
 
Answer & Explanation Answer: C) 8∘∘

Explanation:
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0 238
Q:

A sum of Rs 15000 is lent at compound interest (compounded annually) at an interest rate of 20% per annum. If the interest is compounded half yearly, then how much more interest (in Rs) will be obtained in one year?

 

A) 225   B) 150  
C) 75   D) 300
 
Answer & Explanation Answer: B) 150  

Explanation:
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0 183
Q:

A sum of money when invested for a year at the rate of 10% interest per annum compounded half-yearly becomes ₹ 44,100 at maturity. The sum invested was ............

 

A) ₹ 40000 B) ₹ 40500
C) ₹ 39800 D) ₹ 40250
 
Answer & Explanation Answer: A) ₹ 40000

Explanation:
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1 302
Q:

A certain sum amounts to Rs.280900 in 2 years at 6% per annum, interest compounded annually. The sum is:

 

A) Rs.250000 B) Rs.200000
C) Rs.350000 D) Rs.550000
 
Answer & Explanation Answer: A) Rs.250000

Explanation:
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0 274
Q:

₹ 10000, invested at 30% rate of interest per annum. but compounded every four months, will give an amount of ₹ ...... in one year.

 

A) 13270 B) 13000
C) 13300 D) 13310
 
Answer & Explanation Answer: D) 13310

Explanation:
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0 1772
Q:

The compound interest on a certain sum at the end of two years is Rs.408. The simple interest on the same sum for the same time is Rs.400. The rate of interest per annum is:

 

 

A) 2% B) 80%
C) 40% D) 8%
 
Answer & Explanation Answer: A) 2%

Explanation:
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1 329
Q:

Rs 10000 is kept at compound interest at an interest rate of 18% per annum (compounding annually). If the compounding of interest is done half yearly, then how much more interest (in Rs) will be obtained?

 

A) 243 B) 324
C) 81 D) 162
 
Answer & Explanation Answer: C) 81

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4 298
Q:

A sum of Rs 6000 is borrowed at compound interest at the rate of 8% per annum. What will be the amount (in Rs) after 2 years?

 

A)  6998.4 B) 6960
C) 6784.4 D) 6869.4
 
Answer & Explanation Answer: A)  6998.4

Explanation:
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0 339