In simple interest rate per annum,a certain s | vedclass

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Question

(C) Let the principal be $P$ and the simple interest per year be $I$.Given that the amount after $2$ years is $P + 2I = 5182$ and the amount after $3$

Vedclass · Accepted Answer

$3882$

Vedclass · Answer

(C) Let the principal be $P$ and the simple interest per year be $I$.Given that the amount after $2$ years is $P + 2I = 5182$ and the amount after $3$ years is $P + 3I = 5832$.Subtracting the first equation from the second: $(P + 3I) - (P + 2I) = 5832 - 5182$.This gives the simple interest for $1$ year: $I = 650$.Now,substitute $I$ into the equation for $2$ years: $P + 2(650) = 5182$.$P + 1300 = 5182$.$P = 5182 - 1300 = 3882$.Therefore,the principal is ₹ $3882$.

In simple interest rate per annum,a certain sum amounts to ₹ $5,182$ in $2$ $years$ and ₹ $5,832$ in $3$ $years$. The principal in rupees is:

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