An amount of ₹840 is divided among three persons in the ratio of 16 : 6 : 18. The difference between the largest and the smallest shares (in ₹) in the distribution is:

This question was previously asked in
RPF Constable 2024 Official Paper (Held On 03 Mar, 2025 Shift 1)
View all RPF Constable Papers >
  1. 169
  2. 252
  3. 168
  4. 179

Answer (Detailed Solution Below)

Option 2 : 252
Free
RPF Constable Full Test 1
3.9 Lakh Users
120 Questions 120 Marks 90 Mins

Detailed Solution

Download Solution PDF

Given:

An amount of ₹840 is divided among three persons in the ratio of 16 : 6 : 18.

Formula used:

Share of a person = (Ratio of the person / Sum of all ratios) × Total amount

Calculation:

Sum of all ratios = 16 + 6 + 18 = 40

Share of first person = (16 / 40) × 840

⇒ Share of first person = 0.4 × 840 = 336

Share of second person = (6 / 40) × 840

⇒ Share of second person = 0.15 × 840 = 126

Share of third person = (18 / 40) × 840

⇒ Share of third person = 0.45 × 840 = 378

Difference between the largest and smallest shares = 378 - 126

⇒ Difference = 252

∴ The correct answer is option (2).

Latest RPF Constable Updates

Last updated on Jun 2, 2025

-> The Railway Recruitment Board has released the RPF Constable 2025 Response Sheet on 24th March 2025. As per the official notice, the RPF Constable Answer Key will be available from 24th March 2025 to 29th March 2025. 

-> The RRB ALP 2025 Notification has been released on the official website. 

-> The Examination was held from 2nd March to 18th March 2025. Check the RPF Exam Analysis Live Updates Here.

-> RPF Constable 2025 application status was released in January 20, 2025.

Get Free Access Now
Hot Links: teen patti star apk teen patti online lucky teen patti