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

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 $8 \%$ $p.a.?$

An investor invested his savings in the stock market. The value of his investments increased by $12 \%$ and $9 \%$ in the first year and the second year respectively. If the value of his investments after two years became ₹ $97,664$,then how much had he invested (in ₹)?

If a sum of money at simple interest doubles itself in $6$ years,it will become four times in how many years?

$A$ person lent ₹ $10000$ to $B$ for $3$ $years$ and ₹ $6000$ to $C$ for $4$ $years$ on simple interest at the same rate of interest and received ₹ $5400$ in all from both of them as interest. What is the rate of interest (in $\%$)?

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:

Vedclass Test Series

Exam Paper Generator

Online Exam Module