A sum of ₹ 1,550 is lent out in two parts,one | vedclass

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(B) Let the amount lent at $8 \%$ be $x$ and the amount lent at $6 \%$ be $(1550 - x)$.According to the problem,the total annual interest is ₹ $106$.$

Vedclass · Accepted Answer

₹ $650, 900$

Vedclass · Answer

(B) Let the amount lent at $8 \%$ be $x$ and the amount lent at $6 \%$ be $(1550 - x)$.According to the problem,the total annual interest is ₹ $106$.$	herefore \quad x 	imes \frac{8}{100} + (1550 - x) 	imes \frac{6}{100} = 106$Multiply the entire equation by $100$:$8x + 6(1550 - x) = 10600$$8x + 9300 - 6x = 10600$$2x = 10600 - 9300$$2x = 1300$$x = 650$So,the amount lent at $8 \%$ is ₹ $650$.The amount lent at $6 \%$ is $1550 - 650 = ₹ 900$.Thus,the amounts are ₹ $650$ and ₹ $900$.

$A$ sum of ₹ $1,550$ is lent out in two parts,one at $8 \%$ and another at $6 \%$. If the total annual income is ₹ $106$,find the money lent at each rate.

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