4 women and 7 men earn a total of Rs. 11,480 in 7 days, while 10 women and 17 men earn a total of Rs. 36,360 in 9 days. How much will 11 women and 9 men together earn (in Rs.) in 13 days?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 3)

Answer 1

Given:

4 women and 7 men earn a total of Rs. 11,480 in 7 days

10 women and 17 men earn a total of Rs. 36,360 in 9 days

Concept:

Total work = number of workers doing work × time taken to complete the work.

Calculation:

(4W + 7M) × 7 = 11,480

⇒ (4W + 7M) = 1640 ----(i)

(10W + 17M) × 9 = 36360

⇒ (10W + 17M) = 4040----(ii)

solving equations (i) and (ii)

⇒ 10W + 17.5M = 4100---- (iii)

⇒ 10W + 17M = 4040---- (iv)

by subtraction equations (iii) and (iv)

⇒ 0.5M = Rs. 60

Putting the value of G in equation (i)

⇒ 4W + 840= 1640

⇒ 4W = 800

⇒ W = Rs.200

According to the question:

Money earned by 11 women and 9 men in 13days

⇒ (11 × 200 + 9 × 120) × 13

⇒ (2200 + 1080) × 13

⇒ 3280 × 13 = 42640

∴ The required value is 42640.