Mr. Mani invested an amount of ₹ 12000 at a s | vedclass

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

Question

(A) Let the second amount invested be $P_{2}$.Given: $P_{1} = ₹ 12000$,$R_{1} = 10 \%$,$R_{2} = 20 \%$,and the effective rate of interest $R = 14 \%$.

Vedclass · Accepted Answer

$20000$

Vedclass · Answer

(A) Let the second amount invested be $P_{2}$.Given: $P_{1} = ₹ 12000$,$R_{1} = 10 \%$,$R_{2} = 20 \%$,and the effective rate of interest $R = 14 \%$.The formula for the weighted average rate of interest is $R = \frac{P_{1}R_{1} + P_{2}R_{2}}{P_{1} + P_{2}}$.Substituting the values: $14 = \frac{12000 	imes 10 + P_{2} 	imes 20}{12000 + P_{2}}$.$14(12000 + P_{2}) = 120000 + 20P_{2}$.$168000 + 14P_{2} = 120000 + 20P_{2}$.$6P_{2} = 48000$.$P_{2} = ₹ 8000$.Total amount invested $= P_{1} + P_{2} = 12000 + 8000 = ₹ 20000$.

Mr. Mani invested an amount of ₹ $12000$ at a simple interest rate of $10 \%$ $p.a.$ and another amount at a simple interest rate of $20 \%$ $p.a.$. The total interest earned at the end of one year on the total amount invested was $14 \%$ $p.a.$. Find the total amount (in ₹) invested.

Similar Questions

$A$ sum of money becomes $Rs. 1100$ in $2$ years and $Rs. 1400$ in $6$ years at $S.I.$ Find the rate percent.

$A$ certain sum of money amounts to ₹ $918$ in $2$ $years$ and ₹ $969$ in $3.5$ $years$ at simple interest. What is the rate of interest (in $\%$ $p.a.$)?

Arun lends ₹ $20,000$ to two of his friends. He gives ₹ $12,000$ to the first at $8 \%$ p.a. simple interest. Arun wants to make a profit of $10 \%$ on the whole. The simple interest rate $\%$ at which he should lend the remaining sum of money to the second friend is

The simple interest accrued on an amount of $Rs. 2500$ at the end of six years is $Rs. 1875$. What would be the simple interest (in $Rs.$) accrued on an amount of $Rs. 6875$ at the same rate and same period?

Reena took a loan of ₹ $1,200$ with simple interest for as many years as the rate of interest. If she paid ₹ $432$ as interest at the end of the loan period,what was the rate of interest?

Vedclass Test Series

Exam Paper Generator

Online Exam Module