Question
Download Solution PDF624 rupees have been distributed among three friends in the ratio of ½ : ⅓ : ¼ . Find out the share of third friend?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF
Given:
-
Total amount distributed = Rs 624
-
Ratio of distribution among three friends = ½ : ⅓ : ¼
Concept Used:
The ratio ½ : ⅓ : ¼ needs to be converted into a common form by finding the least common denominator (LCD).
After converting, the ratio becomes integers that can be used directly for calculations.
The formula to calculate the share is: Share = (Ratio of friend / Sum of ratios) × Total amount
Calculation:
Step 1: Convert the ratio ½ : ⅓ : ¼ into integers.
The LCD of 2, 3, and 4 is 12.
⇒ Multiply each fraction by 12: ½ × 12 = 6 ⅓ × 12 = 4 ¼ × 12 = 3
∴ The ratio becomes 6 : 4 : 3.
Step 2: Calculate the sum of the ratios.
⇒ Sum of ratios = 6 + 4 + 3 = 13.
Step 3: Calculate the share of the third friend (ratio = 3).
⇒ Share of third friend = (3 / 13) × 624
⇒ Share = (3 × 624) / 13
⇒ Share = 1872 / 13
⇒ Share = Rs 144
Step 4: Verify the correct answer.
∴ The share of the third friend is Rs 144.
Conclusion:
Hence, the correct answer is Option 4 (Rs 144).
Last updated on Jul 1, 2025
-> The Indian Army has released the Exam Date for Indian Army Havildar SAC (Surveyor Automated Cartographer).
->The Exam will be held on 9th July 2025.
-> Interested candidates had applied online from 13th March to 25th April 2025.
-> Candidates within the age of 25 years having specific education qualifications are eligible to apply for the exam.
-> The candidates must go through the Indian Army Havildar SAC Eligibility Criteria to know about the required qualification in detail.