Find the ratio that (1/3 of Rs. 9.30) bears to (0.6 of Rs. 1.55).

Difficulty: Easy

Correct Answer: 10 : 3

Explanation:


Introduction / Context:
Ratios with monetary amounts work like any numbers. Compute each expression exactly, then form the ratio and reduce to simplest terms to avoid decimal clutter.



Given Data / Assumptions:

  • (1/3) of Rs. 9.30
  • 0.6 of Rs. 1.55
  • Find their ratio in simplest form.


Concept / Approach:
Compute both quantities: A = 9.30/3, B = 0.6 * 1.55. Then A : B = (A/B) : 1 or simplify by dividing both by a common factor.



Step-by-Step Solution:
A = 9.30 / 3 = 3.10B = 0.6 * 1.55 = 0.93Ratio = 3.10 : 0.93Divide both by 0.31 ⇒ 10 : 3



Verification / Alternative check:
Compute 3.10/0.93 ≈ 3.333..., which equals 10/3. Hence 10 : 3 is correct.



Why Other Options Are Wrong:
1 : 3 and 3 : 10 invert or shrink the correct ratio; 3 : 1 is too large; 5 : 3 is 1.666..., not matching.



Common Pitfalls:
Rounding early; miscomputing 0.6 * 1.55; forgetting to fully reduce the ratio.



Final Answer:
10 : 3

More Questions from Ratio and Proportion

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion