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.
Calculation:
(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 10, 2025
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