Question
Download Solution PDF5 women and 9 girls earn a total of ₹18,720 in 9 days, while 9 women and 16 girls earn a total of ₹ 52,080 in 14 days. How much will 12 women and 7 girls together earn (in ₹) in 13 days?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
5 women and 9 girls can earn Rs.18,720 in 9 days
9 women and 16 girls earn a total of ₹ 52,080 in 14 days
Concept:
Total work = number of workers doing work × time taken to complete the work.
(5W + 9G) × 9 = 18,720
⇒ (5W + 9G) = 2080 ----(i)
(9W + 16G) × 14 = 52080
⇒ (9W + 16G) = 3720 ----(ii)
solving equations (i) and (ii)
⇒ 45W + 81G = 18720 ---- (iii)
⇒ 45W + 80G = 18600 ---- (iv)
by subtraction equations (iii) and (iv)
⇒ 1G = Rs. 120
Putting the value of G in equation (i)
⇒ 5W + 1080 = 2080
⇒ 5W = 1000
⇒ W = Rs.200
According to the question:
Money earned by 12 women and 7 girls in 13days
⇒ (12 × 200 + 7 × 120) × 13
⇒ (2400 + 840) × 13
⇒ 3240 × 13 = 42120
∴ The required value is 42120.
Last updated on Jun 2, 2025
-> The SSC Exam Dates 2025 has been released on the official website.
-> The SSC CGL Notification 2025 will be released on 9th June 2025 at ssc.gov.in.
-> The SSC CGL application 2025 submission will be open from 9th June to 4th July 2025.
-> The SSC CGL Tier 1 Exam 2025 Dates have been revised. The SSC CGL Exam will be conducted from 13 August to 30 August, 2025.
-> Candidates can refer to the SSC CGL syllabus for a better understanding of the exam structure and pattern.
-> The SSC CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> Candidates should also use the SSC CGL previous year papers for a good revision.