If the simple interest on ₹ x at a rate of a | vedclass

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

Question

(B) The formula for simple interest $(SI)$ is given by $SI = \frac{P 	imes R 	imes T}{100}$,where $P$ is the principal,$R$ is the rate of interest,a

Vedclass · Accepted Answer

$am: 1$

Vedclass · Answer

(B) The formula for simple interest $(SI)$ is given by $SI = \frac{P 	imes R 	imes T}{100}$,where $P$ is the principal,$R$ is the rate of interest,and $T$ is the time in years.According to the problem,the simple interest on ₹ $x$ at $a \%$ for $m$ years is equal to the simple interest on ₹ $y$ at $a^2 \%$ for $m^2$ years.Therefore,we can write:$\frac{x 	imes a 	imes m}{100} = \frac{y 	imes a^2 	imes m^2}{100}$By canceling $100$ from both sides,we get:$x 	imes a 	imes m = y 	imes a^2 	imes m^2$To find the ratio $x: y$,we divide both sides by $y$ and then by $(a 	imes m)$:$\frac{x}{y} = \frac{a^2 	imes m^2}{a 	imes m}$$\frac{x}{y} = am$Thus,$x: y = am: 1$.

If the simple interest on ₹ $x$ at a rate of $a \%$ for $m$ years is same as that on ₹ $y$ at a rate of $a^2 \%$ for $m^2$ years,then $x: y$ is equal to

Similar Questions

$₹ 800$ becomes $₹ 956$ in $3$ years at a certain rate of simple interest. If the rate of interest is increased by $4 \%$,what amount (in $₹$) will $₹ 800$ become in $3$ years?

If the simple interest on a certain sum of money is $\frac{4}{25}$ of the sum and the rate per cent equals the number of years,then the rate of interest (in $\%$) per annum is

What is the interest (in $Rs.$) received on a principal of $Rs. 450$ for $2$ years, if the interest received on $Re. 1$ after $4$ years at the same rate of simple interest is $Rs. 0.40$?

Deepak lent ₹ $8800$ to Jaichand for $13$ $years$ and ₹ $5500$ to another person for $12$ $years$ at the same rate of simple interest. He received ₹ $14432$ in total as interest from both. The rate of interest (in $\%$) per annum is:

$A$ 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 ₹):

Vedclass Test Series

Exam Paper Generator

Online Exam Module