Question

A sum invested at 5% simple interest per annum grows to 504 in 4 years.The same amount at 10% simple interest per annum in 2 1/2 years will grow to

Answer 1

if x is amount, then

x+5×4×x/100=504

Amount after 212 years at simple interest of 10%  

= 420+420×5×102×100 = Rs.525.00

Answer 2

Amount would be Rs. 525.

Step-by-step explanation:

Since we have given that

Rate of interest = 55

Amount = Rs. 504

Time = 4 years

Let Principal be 100%

So, Amount would be $100+5\times 4=100+20=100+20=120$

so, if 120% gives Rs. 504

then, 100% gives

$\dfrac{504\times 100}{120}\\\\=Rs.\ 420$

Rate of interest = 10%

Time = $2\dfrac{1}{2}=\dfrac{5}{2}$

$SI=\dfrac{P\times R\times T}{100}\\\\SI=\dfrac{420\times 10\times 5}{200}\\\\SI=105$

So, Amount = Principal + Interest = 420 + 105 =Rs. 525

Hence, amount would be Rs. 525.

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At simple interest a sum becomes 49/40 of itself in 5/2 years.The rate of interest per annum is

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