57% of Ranita’s weekly income is equal to 76% of Bhaskar’s weekly income. If Ranita’s weekly income was reduced by Rs. 400, while Bhaskar’s weekly income did not change, the ratio of the weekly incomes of Ranita and Bhaskar, respectively, would have been 6 : 5. What is Bhaskar’s weekly income (in Rs.)?

This question was previously asked in
SSC CPO 2024 Official Paper-I (Held On: 27 Jun, 2024 Shift 1)
View all SSC CPO Papers >
  1. 3000
  2. 4000
  3. 2800
  4. 3200

Answer (Detailed Solution Below)

Option 1 : 3000
Free
SSC CPO : General Intelligence & Reasoning Sectional Test 1
8.5 K Users
50 Questions 50 Marks 35 Mins

Detailed Solution

Download Solution PDF

Given:

57% of Ranita's weekly income = 76% of Bhaskar's weekly income

Ranita's weekly income reduced by Rs. 400

Ratio of weekly incomes of Ranita and Bhaskar = 6:5

Concept Used:

We need to set up equations based on the given percentages and ratio, then solve for Bhaskar's weekly income.

Formula Used:

Let Ranita's weekly income be R and Bhaskar's weekly income be B.

57% of R = 76% of B

(57/100)R = (76/100)B

R - 400 = (6/5)B

Calculation:

(57/100)R = (76/100)B

⇒ 57R = 76B    ...(1)

R - 400 = (6/5)B

⇒ 5R - 2000 = 6B    ...(2)

From equation (1):

⇒ R = (76/57)B

Substitute R in equation (2):

⇒ 5(76/57)B - 2000 = 6B

⇒ (380/57)B - 2000 = 6B

⇒ (380/57)B - 6B = 2000

⇒ (380B - 342B) / 57 = 2000

⇒ 38B / 57 = 2000

⇒ 38B = 2000 × 57

⇒ 38B = 114000

⇒ B = 114000 / 38

⇒ B = 3000

∴ Bhaskar's weekly income is Rs. 3000.

Latest SSC CPO Updates

Last updated on Jun 17, 2025

-> The SSC has now postponed the SSC CPO Recruitment 2025 on 16th June 2025. As per the notice, the detailed notification will be released in due course.  

-> The Application Dates will be rescheduled in the notification. 

-> The selection process for SSC CPO includes a Tier 1, Physical Standard Test (PST)/ Physical Endurance Test (PET), Tier 2, and Medical Test.

-> The salary of the candidates who will get successful selection for the CPO post will be from ₹35,400 to ₹112,400.     

-> Prepare well for the exam by solving SSC CPO Previous Year Papers. Also, attempt the SSC CPO Mock Tests

-> Attempt SSC CPO Free English Mock Tests Here!

More Compound Ratios Questions

Get Free Access Now
Hot Links: teen patti teen patti cash teen patti 100 bonus lucky teen patti