Two women were going to be paid Rs 3200. Woman 1 can complete a piece

1.	Two women were going to be paid Rs 3200. Woman 1 can complete a piece of work in 10 days, second can complete in 8 days. Now when a man joins them, the work gets completed in 3 days. Calculate share of man. 1. Rs 10752. Rs 10403. Rs 14004. Rs 15005. Rs 1600
Answer» Correct Answer - Option 2 : Rs 1040 Given: Woman 1 = 10 days Woman 2 = 8 days 2 woman + 1 man = 3 days Formula used: 1/T = (1/T1) + (1/T2) Here, T1 = work done in days by 1, T2 = work done in days by 2 Calculation: Let’s calculate total number of units in form of work done ⇒ LCM of 10, 8, 3 is 120 ⇒ Efficiency of woman 1 = (120/10) ⇒ Efficiency of woman 1 = 12 ⇒ Efficiency of woman 2 = 15 (∵ 120/8 = 15) ⇒ Efficiency of 2 woman + Man = 40 (∵ 120/3 = 40) Now, Efficiency of man ⇒ Efficiency of man = Total efficiency – Efficiency of 2 women ⇒ Efficiency of man = 40 – 27 ⇒ Efficiency of man = 13 For, Total work done wage to be paid was Rs 3200 ⇒ for 40 units of work wage = 3200 ⇒ For 13 units of work, wage = 3200 × 13/40 ⇒ Wage to be paid to man = 80 × 13 ∴ Man will be paid Rs 1040

Two women were going to be paid Rs 3200. Woman 1 can complete a piece of work in 10 days, second can complete in 8 days. Now when a man joins them, the work gets completed in 3 days. Calculate share of man. 1. Rs 10752. Rs 10403. Rs 14004. Rs 15005. Rs 1600

Answer» Correct Answer - Option 2 : Rs 1040

Given:

Woman 1 = 10 days
Woman 2 = 8 days

2 woman + 1 man = 3 days

Formula used:

1/T = (1/T1) + (1/T2)

Here, T1 = work done in days by 1, T2 = work done in days by 2

Calculation:

Let’s calculate total number of units in form of work done

⇒ LCM of 10, 8, 3 is 120

⇒ Efficiency of woman 1 = (120/10)

⇒ Efficiency of woman 1 = 12

⇒ Efficiency of woman 2 = 15 (∵ 120/8 = 15)

⇒ Efficiency of 2 woman + Man = 40 (∵ 120/3 = 40)

Now,

Efficiency of man

⇒ Efficiency of man = Total efficiency – Efficiency of 2 women

⇒ Efficiency of man = 40 – 27

⇒ Efficiency of man = 13

For, Total work done wage to be paid was Rs 3200

⇒ for 40 units of work wage = 3200

⇒ For 13 units of work, wage = 3200 × 13/40

⇒ Wage to be paid to man = 80 × 13

∴ Man will be paid Rs 1040