AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Q.

A certain sum amounts to Rs.4500 in (5/2) year and 20% per annum simple interest the sum (in Rs.) is $Rs .$ [[1]].

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Concept- The sum invested was 3000.
In the mentioned problem, we will first determine the simple interest and add it to the principal value, which is equal to the sum amount, in order to determine the value of the sum by equating it to the specified numerical value of the sum amount. The simple interest formula is as follows:

S . I = P \times r \times \frac{T}{100}

Where, P is principal amount, r is rate and t is time.
Also, we will use the formula for sum amount given by,
Sum = P + S.I

S . I = x \times 20 \times (\frac{5}{2}) 100 \Rightarrow x \times 20 \times \frac{5}{100} \Rightarrow \frac{x}{2}

Sum amount = x + x / 2

On taking LCM of the terms, we get:

4500 = x + \frac{x}{2}

4500 = 2 x + x / 2 = \frac{3 x}{2}

On cross multiplying the equation by we get:

\frac{2}{3} \times 4500 = x

3000 = x

Therefore, the sum is equal to

Rs . 3000

Hence, the correct answer is

Rs . 3000

.

Watch 3-min video & get full concept clarity

courses

No courses found

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

best study material, now at your finger tips!

live classes
progress tracking
24x7 mentored guidance
study plan analysis

download the app

gplay

mentor

Download the App

gplay

personalised 1:1 online tutoring