Divide ₹ 2379 into 3 parts so that their amou | vedclass

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

Question

(D) Let the three parts be $x, y$ and $z$ such that $x + y + z = 2379$.The amount $A$ at simple interest is given by $A = P(1 + \frac{RT}{100})$.Given

Vedclass · Accepted Answer

$828$

Vedclass · Answer

(D) Let the three parts be $x, y$ and $z$ such that $x + y + z = 2379$.The amount $A$ at simple interest is given by $A = P(1 + \frac{RT}{100})$.Given that the amounts are equal after $2, 3$ and $4$ years respectively at $5 \%$ rate:$x(1 + \frac{5 	imes 2}{100}) = y(1 + \frac{5 	imes 3}{100}) = z(1 + \frac{5 	imes 4}{100}) = k$$x(1 + \frac{1}{10}) = y(1 + \frac{3}{20}) = z(1 + \frac{1}{5}) = k$$\frac{11x}{10} = \frac{23y}{20} = \frac{6z}{5} = k$Thus,$x = \frac{10k}{11}, y = \frac{20k}{23}, z = \frac{5k}{6}$.Substituting these into $x + y + z = 2379$:$\frac{10k}{11} + \frac{20k}{23} + \frac{5k}{6} = 2379$Taking the $LCM$ of $11, 23, 6$,which is $1518$:$\frac{1380k + 1320k + 1265k}{1518} = 2379$$\frac{3965k}{1518} = 2379$$k = \frac{2379 	imes 1518}{3965} = 910.8$Now,$x = \frac{10 	imes 910.8}{11} = 828$.Therefore,the first part is ₹ $828$.

Divide ₹ $2379$ into $3$ parts so that their amounts after $2, 3$ and $4$ years respectively may be equal,the rate of interest being $5 \%$ per annum at simple interest. The first part is (in ₹):

Similar Questions

When the rate of interest in a bank is reduced from $5 \%$ p.a. to $4.5 \%$ p.a.,Bani deposited $Rs. 4000$ in her savings account. She found that the new interest income remained the same as before. Find her original deposit (in $Rs.$)?

An amount fetched a total simple interest of ₹ $3200$ at the rate of $6.25 \%$ per year in $4$ years. What is the amount (principal) in ₹?

The annual instalment that will discharge a debt of ₹ $4200$ due in $5$ years at $10 \%$ simple interest (in ₹) is:

$A$ money lender claims to lend money at the rate of $10 \%$ per annum simple interest. However,he takes the interest in advance when he lends a sum for one year. At what interest rate does he lend the money actually?

The simple interest on a sum for $8$ years is ₹ $47500$. The rate of interest is $10 \%$ per annum for the first $5$ years and $15 \%$ per annum for the next $3$ years. What is the value (in ₹) of the sum?

Vedclass Test Series

Exam Paper Generator

Online Exam Module