David invested a certain amount in three diff | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the amount invested in scheme $B$ be $x$.Given that the investment in scheme $C$ is $240 \%$ of the investment in scheme $B$, we have:Investme

Vedclass · Accepted Answer

$5000$

Vedclass · Answer

(A) Let the amount invested in scheme $B$ be $x$.Given that the investment in scheme $C$ is $240 \%$ of the investment in scheme $B$, we have:Investment in scheme $C = 2.4x$.Given that the investment in scheme $C$ is $150 \%$ of the investment in scheme $A$, we have:$1.5 	imes (	ext{Investment in } A) = 2.4x$Investment in scheme $A = \frac{2.4x}{1.5} = 1.6x$.The total interest accrued in one year is given by the sum of interests from all three schemes:Interest from $A = 1.6x 	imes 0.10 = 0.16x$Interest from $B = x 	imes 0.12 = 0.12x$Interest from $C = 2.4x 	imes 0.15 = 0.36x$Total interest $= 0.16x + 0.12x + 0.36x = 0.64x$Given total interest $= 3200$, we have:$0.64x = 3200$$x = \frac{3200}{0.64} = 5000$Thus, the amount invested in scheme $B$ is ₹ $5000$.

Similar Questions

$A$ lent ₹ $5,000$ to $B$ for $2$ years and ₹ $3,000$ to $C$ for $4$ years on simple interest at the same rate of interest and received ₹ $2,200$ in all from both of them as interest. The rate of interest (in $\%$) per annum is:

The simple interest on a sum of money is $\frac{1}{9}$ of the principal and the number of years is equal to the rate per cent per annum. The rate per cent per annum is equal to

$A$ sum invested at $5 \%$ simple interest per annum grows to ₹ $504$ in $4$ years. The same amount at $10 \%$ simple interest per annum in $2 \frac{1}{2}$ years will grow to (in ₹):

$A$ 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.

Vedclass Test Series

Exam Paper Generator

Online Exam Module