11
Q:

Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received Rs.550 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received Rs.605 as interest. What was the value of his total savings before investing in thesetwo bonds?

A) Rs.2543 B) Rs.2534
C) Rs.2546 D) Rs.2750

Answer:   D) Rs.2750



Explanation:

 

Shawn received an extra amount of (Rs.605 – Rs.550) Rs.55 on his compound interest paying bond as the interest that he received in the first year also earned interest in the second year.

 

The extra interest earned on the compound interest bond = Rs.55

 

The interest for the first year =550/2 = Rs.275

 

Therefore, the rate of interest =55275*100= 20% p.a.

 

20% interest means that Shawn received 20% of the amount he invested in the bonds as interest.

 

If 20% of his investment in one of the bonds = Rs.275, then his total investment in each of the  bonds =27520*100 = 1375. 

As he invested equal sums in both the bonds, his total savings before investing = 2 x 1375 =Rs.2750.

Q:

The difference between compound interest and simple interest on ₹ x at 8% per annum for 2 years is ₹ 48. What is the value of x?

 

A) 7500 B) 7400
C) 8000 D) 7800
 
Answer & Explanation Answer: A) 7500

Explanation:
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0 326
Q:

The difference between the compound interest and simple interest on Rs. x at 12% per annum for 2 years is ₹43.20. What is the value of x?

 

A) 3,000 B) 2,500
C) 2,800 D) 2,400
 
Answer & Explanation Answer: A) 3,000

Explanation:
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0 87
Q:

The difference between the compound interest and simple interest on ₹x at 7% per annum for 2 years is ₹24.50. What is the value of x?

 

A) 5,000 B) 4,800
C) 6,000 D) 5,400
 
Answer & Explanation Answer: A) 5,000

Explanation:
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0 494
Q:

A sum of Rs. 8,000 invested at 10% p.a. amounts to Rs. 9,261 in a certain time, interest compounded half-yearly. What will be the compound interest (in Rs. ) on the same sum for the same time at double the earlier rate of interest, when interest is compounded annually?

 

A) Rs. 2,560 B) Rs. 2,480
C) Rs. 2,500 D) Rs. 2,520
 
Answer & Explanation Answer: A) Rs. 2,560

Explanation:
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3 507
Q:

The compound interest on a certain sum at 16 2/3% p.a. for 3 years is Rs.6,350. What will be the simple interest on the same sum at the same rate for 5 2/3 years?

A) ₹10,200 B) ₹11,400
C) ₹7,620 D) ₹9,600
 
Answer & Explanation Answer: A) ₹10,200

Explanation:
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2 1901
Q:

A and B together borrowed a sum of Rs.51,750 at an interest rate of 7% p.a. compound interest in such a way that to settle the loan, A paid as much amount after three years as paid by B after 4 years from the day of borrowing. The sum (in Rs) borrowed by B was:

A) 25,650 B) 26,750
C) 25,000 D) 24,860
 
Answer & Explanation Answer: C) 25,000

Explanation:
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1 5631
Q:

A certain amount of money at compound interest grows to Rs.66,550 in 3 years and Rs.73,205 in 4 years. The rate percent per annum is:

A) 9% B) 5%
C) 11% D) 10%
 
Answer & Explanation Answer: D) 10%

Explanation:
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0 4654
Q:

A sum lent out at compound interest amounts to Rs. 1,250 in one year and to Rs. 1,458 in 3 years at a certain rate percentage p.a. What is the simple interest on the same sum for 27/5 years at the same rate of interest?

 

A) Rs. 600 B) Rs. 520
C) Rs. 500 D) Rs. 480
 
Answer & Explanation Answer: C) Rs. 500

Explanation:
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0 416