Ravi invested a total amount of Rs. 65,000 in | vedclass

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

Question

(C) Let the amounts invested in schemes $A, B,$ and $C$ be $x, y,$ and $z$ respectively.Given: $x + y + z = 65,000$ $(i)$Given: $x = 0.72z = \frac{18}

Vedclass · Accepted Answer

$22$

Vedclass · Answer

(C) Let the amounts invested in schemes $A, B,$ and $C$ be $x, y,$ and $z$ respectively.Given: $x + y + z = 65,000$ $(i)$Given: $x = 0.72z = \frac{18}{25}z$ (ii)Total interest earned in one year: $0.12x + 0.16y + 0.18z = 10,180$Multiply by $100$: $12x + 16y + 18z = 1,018,000$Divide by $2$: $6x + 8y + 9z = 509,000$ (iii)Substitute $x = \frac{18}{25}z$ into $(i)$: $\frac{18}{25}z + y + z = 65,000 \Rightarrow \frac{43}{25}z + y = 65,000 \Rightarrow y = 65,000 - \frac{43}{25}z$ (iv)Substitute $x$ and $y$ into (iii): $6(\frac{18}{25}z) + 8(65,000 - \frac{43}{25}z) + 9z = 509,000$$\frac{108}{25}z + 520,000 - \frac{344}{25}z + 9z = 509,000$$9z - \frac{236}{25}z = 509,000 - 520,000$$\frac{225z - 236z}{25} = -11,000$$-\frac{11}{25}z = -11,000 \Rightarrow z = 25,000$Now,find $y$ using (iv): $y = 65,000 - \frac{43}{25}(25,000) = 65,000 - 43,000 = 22,000$.Thus,the amount invested in scheme $B$ is $Rs. 22,000$.

Similar Questions

Simple interest on a certain sum is $\frac{16}{25}$ of the sum. If the rate per cent and time (in years) are equal,then the rate per cent is:

Divide $Rs. 4758$ into three parts such that their amounts after $2, 3,$ and $4$ years respectively are equal,given the rate of interest is $5 \%$ per annum. Find the amount of the $1^{\text{st}}$ part (in $Rs.$).

Bindu lends $Rs. 10000$ in four parts to her friends. If she gets $8 \%$ on $Rs. 2000$,$7.5 \%$ on $Rs. 4000$ and $8.5 \%$ on $Rs. 1400$,what percent must she get for the remainder,if the average interest is $8.13 \%$?

If the annual rate of simple interest increases from $10 \%$ to $12 \frac{1}{2} \%$,a man's yearly income increases by ₹ $1250$. His principal (in ₹) is

$A$ certain sum doubles in $7$ years at simple interest. The same sum under the same interest rate will become $4$ times in how many years?

Vedclass Test Series

Exam Paper Generator

Online Exam Module