On 1st Jan every year person buys NSC certificate of value exceeding that of his last year purchase by Rs 100. After 10 years he finds that the total value of the certificates held by him is Rs 54500. Find the value of the certificates purchased by him - in the first year - in the eighth year

Answers (1)

Let the value of the first certificate be Rs. x
Every year it's value is increased by Rs.100.
Which means the prices of the certificate forms an A.P. with common difference 100
First term (a)=x
Common difference (d)=100
In n=10 years he will be having 10 cards.
The formula to solve this A.P. is
S_n=fracn2(2a+(n-1)d)
S_10=frac102(2x+(10-1)100)=54500
5(2x+9*100)=54500
10x+4500=54500
10x=54500-4500=50000
x=frac5000010=Rs.5000

  1. Value of the first certificate is=Rs. 5000
  2. For Eighth  year,n=8 value=5000+(8-1)*100=Rs.5700

Most Viewed Questions

Preparation Products

Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
Buy Now
Knockout NEET 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
Buy Now
NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
Buy Now
NEET Foundation + Knockout NEET 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
NEET Foundation + Knockout NEET 2025 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions