A sum of Rs. 2540 is lent out in two parts,on | vedclass

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

Question

(B) Let the total sum be $P = Rs. 2540$ and the total annual interest be $SI = Rs. 312.42$.First,calculate the overall annual rate of interest $(R_{av

Vedclass · Accepted Answer

$1016$

Vedclass · Answer

(B) Let the total sum be $P = Rs. 2540$ and the total annual interest be $SI = Rs. 312.42$.First,calculate the overall annual rate of interest $(R_{avg})$:$R_{avg} = \frac{SI 	imes 100}{P 	imes T} = \frac{312.42 	imes 100}{2540 	imes 1} = \frac{31242}{2540} = 12.3 \%$.Now,use the alligation method to find the ratio of the two parts:Part $1$ rate: $12 \%$Part $2$ rate: $12.5 \%$Overall rate: $12.3 \%$Difference $1$: $|12.5 - 12.3| = 0.2$Difference $2$: $|12.3 - 12.0| = 0.3$Ratio of sums = $0.2 : 0.3 = 2 : 3$.Total parts = $2 + 3 = 5$.Sum lent at $12 \% = \frac{2}{5} 	imes 2540 = 2 	imes 508 = Rs. 1016$.

$A$ sum of $Rs. 2540$ is lent out in two parts,one at $12 \%$ and the other at $12.5 \%$. If the total annual return on the total money invested is $Rs. 312.42$,find the money (in $Rs.$) lent at $12 \% \text{ p.a.}$

Similar Questions

₹ $8000$ amounts to ₹ $9200$ in $3$ years at simple interest. If the interest rate is increased by $3 \%$,to how much would it amount (in ₹)?

If the simple interest on a certain sum of money after $6 \frac{1}{4}$ years is $\frac{3}{8}$ of the principal,then the rate of interest (in $\%$) per annum is

$Rs. 600$ becomes $Rs. 720$ in $4$ $years$ at simple interest. If the rate of interest is increased by $2 \%$,what will be the total amount (in $Rs.$)?

What amount (in $Rs.$) would a man have received on a principal of $Rs. 4000$ after $2$ years at a simple interest rate of $5$ $p.c.p.a.$?

At what rate per cent per annum will a sum of money double in $16$ years (in $.25$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module