Question

A sum of money at SI amounts to Rs 600 in 4 years & Rs 650 in
6years. Find the R%

Answer 1

Answer:

4.16%

Step-by-step explanation:

since increase in amount between 6 and 4 years is 50 therefore the SI Or simple interest for those 2 years (between 6 and 4 yrs after submission) is 50 .hence time is taken as two years

Answer 2

The rate of interest is 5%

Step-by-step explanation:

Let the principal be x

Amount = Rs.600

Interest = Amount - Principal

Interest = 600-x

Time = 4 years

$SI=\frac{P \times T \times R}{100}\\600-x=\frac{x \times 4 \times R}{100}$

$\frac{(600-x)(100)}{4x}=R$---A

Amount = Rs.650

Interest = Amount - Principal

Interest = 650-x

Time = 6 years

$SI=\frac{P \times T \times R}{100}\\650-x=\frac{x \times 6 \times R}{100}\\\frac{(650-x)(100)}{6x}=R$

So,$\frac{(600-x)(100)}{4x}=\frac{(650-x)(100)}{6x}\\x=500$

Substitute the value of x in A

$\frac{(600-500)(100)}{4(500)}=R\\5\%=R$

Hence the rate of interest is 5%

#learn more:

A sum of money at SI amounts to Rs 600 in 4 years & Rs 650 in

6years. Find the R%

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