A sum of money at simple interest triples itself in 75 years. it will become 7 times of itself in:

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At certain rate of simple interest a sum becomes triple in 25 years. In how many years will it become six times of itself?a)61 years 5 monthsb)63 years 7 monthsc)62 years 6 monthsd)68 years 9 monthsCorrect answer is option 'C'. Can you explain this answer? for Railways 2022 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about At certain rate of simple interest a sum becomes triple in 25 years. In how many years will it become six times of itself?a)61 years 5 monthsb)63 years 7 monthsc)62 years 6 monthsd)68 years 9 monthsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At certain rate of simple interest a sum becomes triple in 25 years. In how many years will it become six times of itself?a)61 years 5 monthsb)63 years 7 monthsc)62 years 6 monthsd)68 years 9 monthsCorrect answer is option 'C'. Can you explain this answer?.

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A sum of money at simple interest triples itself in 75 years. it will become 7 times of itself in:

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  • Simple and Compound Interest Exercise 8.1
  • Simple and Compound Interest Exercise 8.2
  • Simple and Compound Interest Exercise 8.3

  • Rational Numbers
  • Exponents and Powers
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  • Simple and Compound Interest
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ML Aggarwal Solutions Class 8 Mathematics Solutions for Simple and Compound Interest Exercise 8.1 in Chapter 8 - Simple and Compound Interest

Question 8 Simple and Compound Interest Exercise 8.1

What sum of money invested at 7.5% p.a. simple interest for 2 years produces twice as much interest as Rs 9600 in 3 years 6 months at 10% p.a. simple interest?

Answer:

First Case:

Principal (P1) = Rs 9600

Rate (R1) = 10%

Period = (T) = 3 years 6 months

= years = 7 / 2 years

Simple interest = (P × R × T) / 100

= (9600 × 10 × 7) / (100 × 2)

We get,

= Rs 3360

Second case:

Simple interest = Rs 3360 × 2

= Rs 6720

Rate (R) = 7.5% p.a. and

Period (T) = 2 years

Therefore,

Principal = (S.I × 100) / (R × T)

= (6720 × 100) / (7.5 × 2)

= Rs (6720 × 100 × 10) / (75 × 2)

= 6720000 / 150

We get,

= Rs 44800

Video transcript

hello everybody welcome to lido learning channel my name is rajna chaudhary and we have to solve the question which is a sum of money invested at 7.5 per annum simple interest for two years produce produces twice as much interest as 96 double zero in three years and six months as ten percent per annum a simple interest so uh the meaning of question is that a sum of money was invested and it is giving us twice interest twice as the interest as this sum is giving in three years so we have to find first of all the interest from the second case because if we will find the interest from the second case so uh the interest for the first case is twice of it so i'm writing k second first of all so case second so in case second principle is given to us 9600 rate is given 10 percent time is also given three years and six months so first of all we have to convert this three years and six months into years so uh 3 plus 6 upon 12 so after calculation it would be 1 by 2 that means 3 whole and 1 by 2 after further calculation we have 7 upon 2 years let's apply it in the formula so simple interest would be p into r into t upon 100 so because it was 7 upon 2 that's why we can write it like this way now two zeros are cancelled out here two can cancel out ten five times and then after further calculation we would have rupees 3 3 6 0 as the simple interest so this is the simple interest for case second now simple interest for case 1 is twice of this so let's find out the simple interest for case 1 so twice of 3 3 6 0 mean rupees 6 7 to 0. now this is the simple interest we know rate also that rate is 7.5 percent time is two years we can calculate principle so it would be like we know that simple interest is equal to prt upon 100 simple interest we have calculated 6720 is equal to principle we have to calculate rate is 7.2 7.5 i'm sorry and time is 2 years upon 100. we can transpose these uh 7.5 to 100 to the right hand side so equation would be like 6 7 2 0 multiplied by hundred upon seven point five multiply by two so two can cancel out uh this fifty times and then the it can be further calculated so i'm not wasting time and writing the answer as principle is 4 4 8 0 zero so i hope you understand the method see you in my next video don't forget to like share and subscribe the channel thank you for watching

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A sum of money at simple interest triples itself in 75 years. it will become 7 times of itself in: