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

Shruti borrowed $Rs. 2500$ from her two friends. For one loan she paid $8 \%$ $p.a.$ and for the other $6 \%$ $p.a.$ simple interest. If she paid $Rs. 180$ as total interest for one year,how much did she borrow (in $Rs.$) at $8 \%$ $p.a.?$

Mr. Irani borrowed a sum of ₹ $10000$ from a finance company for $6$ years at $8 \%$ per annum. The amount (in ₹) returned by Mr. Irani to the finance company is:

If the simple interest on a certain sum of money for $2$ $years$ is one-fifth of the sum,then the rate of interest (in $\%$) per annum is

$A$ certain sum of money amounts to ₹ $2200$ at $5 \%$ $p.a.$ rate of interest,and ₹ $2320$ at $8 \%$ interest in the same period of time. The period of time (in years) is:

$A$ sum was put at simple interest at a certain rate for $2$ years. Had it been put at $1 \%$ higher rate,it would have fetched ₹ $24$ more. The sum is (in ₹):

Vedclass Test Series

Exam Paper Generator

Online Exam Module