Question

a certain principal amounts to 14500rs in 2 years at a certain rate of simple interest . the amount in 5 years is 3000rs more than that in 2 years. what is the rate of interest​

Answer 1

simple inrerest=P×T×R÷100

P=14500+3000=17500

T=5

R=X

as we know P×T×R÷100

R=S.I×100÷P÷T

R=17500×100÷17500÷5

R=100÷5

R=20

Answer 2

The rate of interest is 6.9%.

Step-by-step explanation:

Since we have given that

Sum = Rs. 14500

Time = 2 years

If time = 5 years,

Simple interest is Rs. 3000 more than that in 2 years.

According to question, it becomes,

$\dfrac{14500\times 5\times r}{100}-\dfrac{14500\times 2\times r}{100}=3000\\\\\dfrac{14500}{100}(5r-2r)=3000\\\\145(3r)=3000\\\\r=\dfrac{3000}{145\times 3}\\\\r=6.9\%$

Hence, the rate of interest is 6.9%.

# learn more:

10000rs at the rate of 10 p.c.p.a. simple interest becomes an amount of 13000rs in 3 years .In how many years will the same principal at the same rate amount to 14500rs?

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