Rajvansh invested some amount at the rate of | vedclass

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(A) Let the amount invested at $12 \%$ be Rs. $x$ and the amount invested at $10 \%$ be Rs. $y$.According to the problem,the total interest is Rs. $13

Vedclass · Accepted Answer

Rs. $500$ at $12 \%$,Rs. $700$ at $10 \%$

Vedclass · Answer

(A) Let the amount invested at $12 \%$ be Rs. $x$ and the amount invested at $10 \%$ be Rs. $y$.According to the problem,the total interest is Rs. $130$:$0.12x + 0.10y = 130$  --- (Equation $1$)If the amounts are interchanged,the interest increases by Rs. $4$,so the new interest is Rs. $134$:$0.10x + 0.12y = 134$  --- (Equation $2$)Adding Equation $1$ and Equation $2$:$0.22x + 0.22y = 264 \implies x + y = 1200$  --- (Equation $3$)Subtracting Equation $2$ from Equation $1$:$0.02x - 0.02y = -4 \implies x - y = -200$  --- (Equation $4$)Adding Equation $3$ and Equation $4$:$2x = 1000 \implies x = 500$Substituting $x = 500$ in Equation $3$:$500 + y = 1200 \implies y = 700$Therefore,Rajvansh invested Rs. $500$ at $12 \%$ and Rs. $700$ at $10 \%$.

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