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?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 2)

Answer 1

Given:

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.

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