5 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?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 42120
Let the efficiency of a woman be W and the efficiency of a girl be G
Given that
According to the question
⇒ (5W + 9G) × 9 × 52080 = (9W + 16G) × 14 × 18720
⇒ (5W + 9G) × 93 = (9W + 16G) × 52
⇒ 468W - 464W = 837G - 832G
⇒ 4W = 5G
⇒ W/G = 5/4
Let 12 women and 7 girls together earn X ₹ in 13 days
⇒ (5W + 9G) × 9 × X = (12W + 7G) × 13 × 18720
⇒ (25 + 36) × 9 × X = (60 + 28) × 13 × 18720
⇒ 61 × 9 × X = 88 × 13 × 18720
⇒ X = ₹ 42120