60
Q:

A father left a will of Rs.35 lakhs between his two daughters aged 8.5 and 16 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Rs.35 lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the elder daughter get at the time of the will?

A) 17.5 lakhs B) 21 lakhs
C) 15 lakhs D) 20 lakhs

Answer:   B) 21 lakhs



Explanation:

Let Rs.x be the amount that the elder daughter got at the time of the will. Therefore, the younger daughter got (3,500,000 - x).

 

The elder daughter’s money earns interest for (21 - 16) = 5 years @ 10% p.a simple interest.

 

The younger daughter’s money earns interest for (21 - 8.5) = 12.5 years @ 10% p.a simple interest.

 

As the sum of money that each of the daughters get when they are 21 is the same,

 

 x+5*10*x100=3,500,000-x+12.5*10*3,500,000-x100

 

 x+50x=3,500,000-x+125100*3,500,000-125x100

 

 2x+50x100+125x100=3,500,000*1+54

 

 200x+50x+125x100=94*3,500,000

 

 =>x=2,100,000=21 lakhs

Q:

The simple interest on a certain sum at the end of three years at 5%p.a. is ₹1,200. The compound interest on the same sum for the same period at the same rate is (interest compounded yearly):

 

A) ₹1,800 B) ₹1,261
C) ₹820 D) ₹1,260
 
Answer & Explanation Answer: B) ₹1,261

Explanation:
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1 971
Q:

A sum of money invested for 4 years and 9 months at a rate of 8% simple interest per annum became Rs. 1,035 at the end 0 of the period. What was the sum that was initially invested?

 

A) Rs. 700 B) Rs. 675
C) Rs. 725 D) Rs. 750
 
Answer & Explanation Answer: D) Rs. 750

Explanation:
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4 316
Q:

At what percent of simple interest will a sum 0f money double itself in 15 years?

A) 6 1/3% B) 6 2/3%
C) 6 1/2% D) 6%
 
Answer & Explanation Answer: B) 6 2/3%

Explanation:
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3 365
Q:

What is the total earning after 2 years from Rs.18,750 on variable compound interest if the rate of interest for the first 4 year is 4% and for the second, it is 8%?

A) ₹ 1,740 B) ₹ 1,760
C) ₹ 1,670 D) ₹ 2,310
 
Answer & Explanation Answer: D) ₹ 2,310

Explanation:
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1 1892
Q:

The simple interest on a sum of Rs.50,000 at the end of two years is Rs.4,000. What would be the compound interest on the same sum at the same rate for the same period ?

 

A) 4,040   B) 4,080  
C) 4,008   D) 8,000  
 
Answer & Explanation Answer: B) 4,080  

Explanation:
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1 1897
Q:

Rs. 775 invested for 6 years gives an interest of Rs. 372. The rate of simple interest per annum is:

 

A) 8% B) 7%
C) 9% D) 7.5 %
 
Answer & Explanation Answer: A) 8%

Explanation:
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2 384
Q:

In how many wars will an amount be doubled at 28.75% annual rate of interest?

 

A) 3.00 B) 3.90
C) 3.47 D) 6.00
 
Answer & Explanation Answer: C) 3.47

Explanation:
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0 1230
Q:

If in 13 years a fixed sum doubles at simple interest, what will be the interest rate per year? (Correct to two decimal places)

 

A) 8.69%   B) 7.69%  
C) 7.29%   D) 7.92%  
 
Answer & Explanation Answer: B) 7.69%  

Explanation:
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0 230