55
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:

What is the ratio of simple interest earned on certain amount at the rate of 12% p.a. for 9 years and that for 12 years?

A) 1:2 B) 2:3
C) 3:4 D) 4:5
 
Answer & Explanation Answer: C) 3:4

Explanation:
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1 232
Q:

The difference between simple interest on a certain sum at the rate of 6% per annum for 5 years and 6 years is 25.8. What is the sum (in Rs)?

 

A) 480 B)  430
C) 258 D) 516
 
Answer & Explanation Answer: B)  430

Explanation:
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0 173
Q:

What is the ratio of simple interest earned on certain amount at the rate of 12% for 6 years and that for 12 years?

A) 1:2 B) 2:3
C) 3:4 D) 4:5
 
Answer & Explanation Answer: A) 1:2

Explanation:
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1 184
Q:

R borrowed Rs. 1,200 at 13% per annum simple interest. What amount will R pay to clear the debt after 5 years?

A) Rs.1,860 B) Rs.1,800
C) Rs.1,980 D) Rs.2,000
 
Answer & Explanation Answer: C) Rs.1,980

Explanation:
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0 225
Q:

A sum of Rs 4000 becomes Rs 7000 in 6 years at simple interest. If the rate of interest becomes double of itself, then what will be the amount (in Rs) after 6 years?

 

A)  8500 B)  9000
C)  8000 D) 10000
 
Answer & Explanation Answer: D) 10000

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3 167
Q:

A sum of Rs 800 becomes Rs 1000 in 2 years at simple interest. What is the per annum rate of interest (in percent)?

 

A) 12.5   B)  25  
C)  8.5   D)  17
 
Answer & Explanation Answer: A) 12.5  

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2 292
Q:

Sachin lent out Rs 60000 in two parts, first at 4% and the second at 10% interest. The yearly average interest comes out to be 6.4%. What are the amounts (in Rs) that were lent at 4% and 10% respectively?

 

A) 40000, 20000   B) 48000, 12000  
C) 36000, 24000   D) 32000, 28000
 
Answer & Explanation Answer: C) 36000, 24000  

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0 349
Q:

Rs. x invested at 8% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 7.5% simple interest per annum for 6years. Find x : y.

A) 40:45 B) 5:6
C) 16:15 D) 9:8
 
Answer & Explanation Answer: D) 9:8

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1 289