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

A man saved Rs. $16500$ in ten years. In each year after the first he saved Rs. $100$ more than he did in the preceding year. How much did he save in the first year?

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

Rs.

1400

Rs.

1600

Rs.

1500

Rs.

1200

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given, a man saved Rs.

16500

in ten years. In each year after the first he saved Rs.

100

more than he did in the preceding year.
As we know the sum of the first n terms of an AP is given by

S_{n} = \frac{n}{2} [2 a + (n - 1) d]

… (1)
According to the given condition, we have,

S_{n} = 16500, n = 10, d = 100

Putting these values in (1), we get,

16500 = \frac{10}{2} [2 a + (10 - 1) 100]

⇒

16500 = 5 [2 a + 900]

⇒

16500 = 10 a + 4500

⇒

10 a = 12000

⇒

a = 1200

Therefore, he saved Rs.

1200

in the first year.
Hence, the correct option is 4.

Watch 3-min video & get full concept clarity

courses

No courses found

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!