Question

Direction: Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Quantity A: A certain sum becomes Rs. 805 in 2.5 years and Rs. 889 in 4.5 years at Simple Interest. Find the rate of interest per annum. 

Quantity B: 6%

1. Quantity A > Quantity B
2. Quantity A < Quantity B
3. Quantity A ≥ Quantity B
4. Quantity A ≤ Quantity B
5. Quantity A = Quantity B or No relation

Answer 1

Correct Answer - Option 5 : Quantity A = Quantity B or No relation

Solving for Quantity A:

Given:
Amount in 2.5 years = Rs. 805

Amount in 4.5 years = Rs. 889

Formula used:

S.I = PRT/100

Calculation:

Interest for 2 years = 889 - 805 = Rs. 84

Interest for 2.5 years = (84/2) × 2.5 = Rs. 105

Principal = 805 - 105 = Rs. 700

S.I = PRT/100

105 = (700 × R × 2.5)/100

⇒ R = (105 × 100)/(700 × 2.5)

⇒ R = (105/17.5) = 6%

So, Quantity A = 6%

Also given, Quantity B = 6%

∴ Quantity A = Quantity B