Ratio Today — “At present Arun : Deepak = 4 : 3. After 6 years, Arun will be 26. What is Deepak’s present age?”
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A12 years
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B15
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C19 years
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D25 years
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E13 years
Answer
Correct Answer: 15
Explanation
Introduction / Context:We first recover Arun’s present age from the future statement, then use the 4:3 ratio to scale down to Deepak’s present age proportionally.
Given Data / Assumptions:
- Arun in 6 years = 26 ⇒ Arun now = 20.
- Present ratio A:D = 4:3.
Concept / Approach:If 4 parts correspond to 20 (Arun), then 1 part is 20/4 = 5; Deepak has 3 parts, so 3 * 5.
Step-by-Step Solution:
Arun now = 26 − 6 = 20.Deepak now = (3/4) * 20 = 15.Verification / Alternative check:In 6 years: Deepak 21; ratio becomes 26:21 which simplifies close to 4:3 given the fixed initial ratio used for present ages. The present ages are consistent with the given data.
Why Other Options Are Wrong:12/19/25/13 do not equal (3/4) of 20.
Common Pitfalls:Applying the 4:3 ratio to the future ages instead of to the present ages; or forgetting to first compute Arun’s present age.
Final Answer:15