Simple Interest Questions

FACTS  AND  FORMULAE  FOR  SIMPLE  INTEREST  QUESTIONS

 

 

1. Principal: The money borrowed or lent out for a certain period is called the principal or the sum.

 

2. Interest: Extra money paid for using other's money is called interest

 

3. Simple Interest (S.I.) : If the interest on a sum borrowed for a certain period is reckoned uniformly, then it is called simple interest.

Let Principal = P, Rate = R% per annum (p.a.) and Time = T years. Then,

(i)  S.I=P×T×R100

(ii)  P=100×S.IR×T ; R=100×S.IP×T and T=100×S.IP×R

Q:

Avinash gave a sum of 5400 at the simple rate of interest of 8% to Rajeev for 4 years and Rajeev gave this amount to Chanukya at the rate of 6% for 4 years. Find how much extra amount has to be paid by Rajeev to Avinash after 4 years?

A) Rs. 364 B) Rs. 432
C) Rs. 498 D) Rs. 554
 
Answer & Explanation Answer: B) Rs. 432

Explanation:

Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya

Principal amount and Time is same but the only difference is Rate of interest.

Rajeev took @ 8% and gave it to Chanukya @ 6%

Here the difference in interest rate = 2%

2% of 5400 should be the extra amount paid by Rajeev to Avinash

Required amount = 2 x 5400 x 4100 = 432

 

Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.

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Q:

If there is a total of 104 weekly instalments and a third deposit, find the interest rate

A) 2.82 B) 3.82
C) 4.82 D) 5.82
 
Answer & Explanation Answer: C) 4.82

Explanation:

R = (100 x I)/( P x T)

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0 3089
Q:

A man invested an amount at the rate of 10% p.a. on compound interest and after two years he again invested half of the initial amount. If man got Rs. 457.2 Rs. as interest after three years, find the amount received by man after three years, if he invested same amount on simple interest at rate of 15% p.a.? 

A)  1740 Rs.  B)  1760 Rs. 
C)  1720 Rs.  D)  1780 Rs. 
 
Answer & Explanation Answer: A)  1740 Rs. 

Explanation:

Let man invested Rs. A And, after two years amount invested = (A +

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Q:

Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ?

A) 4 : 5 B) 5 : 4
C) 7 : 6 D) 6 : 7
 
Answer & Explanation Answer: A) 4 : 5

Explanation:

Let x be the investment of Lasya in 5% and y be in 4%

x(5)(n)/100 = y(4)(n)/100

=> x/y = 4/5

x : y = 4 : 5

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3 2971
Q:

On retirement, a woman gets Rs. 1,45,440 of her provident fund which she invests in a scheme at 20% per annum. Her monthly income from this scheme will be

A) Rs. 2550 B) Rs. 2424
C) Rs. 2224 D) Rs. 2380
 
Answer & Explanation Answer: B) Rs. 2424

Explanation:

Now, the principal amount P = Rs. 1,45,440

Rate of interest R = 20%/annum

Now monthly income I = PTR/100 = 1,45,440 x 20 x 1/100 x 12

= 2908800/1200

= Rs. 2424.

 

Hence, her monthly income = Rs. 2424.

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3 2939
Q:

Jaclyn buys $50 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the total amount collected at the end of the term.

A) 8125 B) 9125
C) 7125 D) 6125
 
Answer & Explanation Answer: C) 7125

Explanation:

total interest=1187.50*6

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1 2937
Q:

You put $750 into a certificate of deposit. Your simple annual interest rate is 4%. You receive a check for the interest at the end of each year. How long will it take to earn $150 in interest?

A) 5years B) 6years
C) 7years D) 8years
 
Answer & Explanation Answer: A) 5years

Explanation:

I=prt

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3 2903
Q:

On simple interest an amount becomes Rs. 812 in two years and Rs. 924 in four years. What is the rate of interest on that amount?

A) 7.2% B) 8%
C) 8.5% D) 9.3%
 
Answer & Explanation Answer: B) 8%

Explanation:

We know, 

S.I = PTR/100 where P = principal amount, T = time, R = rate of interest

Here in the given data,

Interest for two years S.I = 924 - 812 = Rs. 112

Now, Principal amount P = 812 - 112 = Rs. 700 

Now,

R = S.I x 100/PT

R = 112 x 100/700 x 2

R = 11200/1400

R = 8%

 

Hence, the rate of interest R = 8%.

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