Mrs. Sushma lent out an amount of Rs. 3000 at | vedclass

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

Question

(D) Let the amount lent at $5 \%$ p.a. be $P_2$.The formula for Simple Interest is $SI = \frac{P 	imes R 	imes T}{100}$.The total interest received

Vedclass · Accepted Answer

$360$

Vedclass · Answer

(D) Let the amount lent at $5 \%$ p.a. be $P_2$.The formula for Simple Interest is $SI = \frac{P 	imes R 	imes T}{100}$.The total interest received is the sum of interest from both amounts:$138 = \frac{3000 	imes 4 	imes 1}{100} + \frac{P_2 	imes 5 	imes 1}{100}$Calculating the first part:$\frac{3000 	imes 4}{100} = 30 	imes 4 = 120$.Substituting this into the equation:$138 = 120 + \frac{5 P_2}{100}$Subtracting $120$ from both sides:$138 - 120 = \frac{5 P_2}{100}$$18 = \frac{P_2}{20}$Solving for $P_2$:$P_2 = 18 	imes 20 = 360$.Thus,the amount lent at $5 \%$ p.a. is $Rs. 360$.

Mrs. Sushma lent out an amount of $Rs. 3000$ at $4 \%$ p.a. and some other amount at $5 \%$ p.a. If at the end of the year she received $Rs. 138$ as total interest,what amount (in $Rs.$) did she lend out at $5 \%$ p.a.?

Similar Questions

The population of a town in $2009$ was $125000$. It increases by $10 \%$ per year. What is the population after $3$ years?

Two equal amounts are deposited in two banks,each at $15 \%$ per annum,for $3 \frac{1}{2}$ years and $5$ years respectively. If the difference between their interests is ₹ $1440$,each sum is (In ₹):

Hemant makes a fixed deposit of $Rs. 20000$ in Bank of India for a period of $3 \,yr$. If the rate of interest is $13 \%$ $SI$ per annum charged half-yearly,what amount (in $Rs.$) will he get after $42 \,months$?

The simple interest on ₹ $500$ at $6 \%$ per annum from $May$ $3^{rd}$ to $July$ $15^{th}$ in the same year is (in ₹):

$A$ sum of money invested at simple interest for two years at $5 \% \text{ p.a.}$ amounted to $Rs. 2750$. The rate at which the sum should have been invested to get $Rs. 300$ as interest after two years would be (in $\%$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module