If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

Correct Answer - Option 2 : 40 years

Given:

Sum doubles itself in ten years

Concept:

Simple interest = (Principle × Rate × Time)/100

Calculation:

⇒ Let the sum be P rupee and Rate of interest be R% per annum

⇒ P × (R/100) × 10 = 2P – P = P

⇒ R = 10

⇒ Let us say it will take T years for it to become 5 times itself

⇒ P × (R/100) × T = 4P, T = 40

∴ The required result will be 40 years.


If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Hello Guest!

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential. Join 700,000+ members and get the full benefits of GMAT Club

Registration gives you:

  • Tests

    Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan Prep. All are free for GMAT Club members.

  • Applicant Stats

    View detailed applicant stats such as GPA, GMAT score, work experience, location, application status, and more

  • Books/Downloads

    Download thousands of study notes, question collections, GMAT Club’s Grammar and Math books. All are free!

and many more benefits!

  • Register now! It`s easy!
  • Already registered? Sign in!

  • If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

    Oct 12

    Jeff Miller, Head of GMAT Instruction, and Marty Murray, Chief Curriculum and Content Architect at Target Test Prep, teach how to effectively prepare for the GMAT. Regardless of what stage you’re at in preparing for the GMAT..

  • If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

    Oct 11

    Renowned MBA admission essay specialist, Natasha Mankikar, provides in-depth strategies for writing effective essays for Harvard, Stanford, Wharton, and other M7 MBA programs. She will also talk about storyboarding your experiences and more.

  • If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

    Oct 12

    Join Manhattan Prep's instructor Ryan Starr as he will discuss "Which is Right for You?" Wednesday, October 12th at 8 PM ET

  • If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

    Oct 13

    What do Vedant from India, Dalal from Kuwait, and Isaac from the United States have in common? They all scored 760 or higher on the GMAT using the Target Test Prep online GMAT course.

  • If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

    Oct 14

    With the help of TTP, Isaac achieved an incredible 790 GMAT score! “Most of the credit for the 790 goes to TTP and the program they’ve put together,” Isaac says.

  • If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

    Oct 15

    Does GMAT RC seem like an uphill battle?  e-GMAT is conducting a masterclass to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days.

  • If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

    Oct 15

    In this video, we understand an effective approach to writing an ethical dilemma essay and common mistakes that most applicants commit in writing this important MBA application essay question.

  • If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

    Oct 16

    Attend this webinar to learn the core NP concepts and a structured approach to solve 700+ Number Properties questions in less than 2 minutes.

  • If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

    Oct 17

    Learn almost everything about #GMATQuant and #GMATVerbal in 25 videos. This is the 8th episode of this #GMATPreparation series in which we cover important aspects of one of tricky quant topic - Word problems.

  • If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

    Oct 18

    Meet Top MBA AdCom & Students | Only 100 Spots Per Session - It is only 2 days - we are packing a week-worth of AdCom sessions in just 2 days. We will have some amazing admissions committees and student sessions on Zoom and more.

Senior Manager

Joined: 10 Oct 2018

Status:Whatever it takes!

Posts: 339

GPA: 4

A sum of money doubles itself in 7 years. In how many years it becomes [#permalink]

If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years
  11 Apr 2019, 05:44

If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

00:00

Question Stats:

If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years
73% (00:33) correct
If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years
27% (00:58) wrong
If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years
based on 49 sessions

Hide Show timer Statistics

If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

A sum of money doubles itself in 7 years. In how many years it becomes four fold?
(A) 14 years
(B) 21 years
(C) 28 years
(D) 35 years
(E) 49 years

Manager

Joined: 21 Feb 2019

Posts: 84

Location: Italy

Re: A sum of money doubles itself in 7 years. In how many years it becomes [#permalink]

If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years
  11 Apr 2019, 06:09

\(n\) at \(t= 0\).

\(2n\) at \(t = 7\).

\(2*2n = 4n\) at \(t =14\).

Target Test Prep Representative

Joined: 14 Oct 2015

Status:Founder & CEO

Affiliations: Target Test Prep

Posts: 16254

Location: United States (CA)

Re: A sum of money doubles itself in 7 years. In how many years it becomes [#permalink]

If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years
  14 Apr 2019, 17:45

nm97 wrote:

A sum of money doubles itself in 7 years. In how many years it becomes four fold?
(A) 14 years
(B) 21 years
(C) 28 years
(D) 35 years
(E) 49 years


If the initial amount of money is x dollars, then 7 years later, it will be 2x dollars, and in another 7 years, it will be 4x dollars. Thus, it takes 14 years to quadruple the initial amount money.

Answer: A
_________________

If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years

See why Target Test Prep is the top rated GMAT course on GMAT Club. Read Our Reviews

Intern

Joined: 20 Jan 2018

Posts: 25

Re: A sum of money doubles itself in 7 years. In how many years it becomes [#permalink]

If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years
  29 Apr 2019, 05:23

nm97 wrote:

A sum of money doubles itself in 7 years. In how many years it becomes four fold?
(A) 14 years
(B) 21 years
(C) 28 years
(D) 35 years
(E) 49 years



Can anyone explain this question. Simple Interest will be applied to it right? With that the answer is 21 years.

Manager

Joined: 21 Feb 2019

Posts: 84

Location: Italy

Re: A sum of money doubles itself in 7 years. In how many years it becomes [#permalink]

If a sum of money doubles itself in 7 years at simple interest it becomes 5 times in how many years
  29 Apr 2019, 09:43

MG1105 It isn't right. You are supposing the amount of money linearly increases, but it's not the case (it's quadratic).

This is what you say:

x at t = 0
2x at t = 7
3x at t = 14
4x at t = 21

But the sum of money doubles itself in 7 years! Hence, if we have 2x after 7 years, we'll get its double after the same amount of time (4x at t = 14). Hope it's clear.

Re: A sum of money doubles itself in 7 years. In how many years it becomes [#permalink]

29 Apr 2019, 09:43

Moderators:

Senior Moderator - Masters Forum

3088 posts

What percentage of simple interest sum of money will double itself in 7 years?

A = R s 2 P S I = A - P = 2 P - P = P R = S I × 100 P × T = P × 100 P × 7 = 100 7 %

How many years will the sum becomes 5 times itself?

A sum becomes 5 times of itself in 3 years. at compound interest (interest is compounded annually). Let the sum becomes 125 times in n years. ∴ In 9 years it will become 125 times.

How long would take for a sum of money to become 5 times of itself at 20 %; per month simple rate of interest?

Let after t years, the sum will become 5 times of itself . Rate = 20 % p.a. So, SI = Rs 5x- x = Rs 4x . = 5/4 years .

What is the interest rate if money doubles in 5 years?

For example if you wanted to double an investment in 5 years, divide 72 by 5 to learn that you'll need to earn 14.4% interest annually on your investment for 5 years: 14.4 × 5 = 72.