Correct Answer - Option 1 : 260
Given:
If 10 men(M) or 20 boys(B) can make 260 mats in 20 days
Concept used:
(Men1 × Day1)/work1 = (Men2 × Day2)/work2
Calculation:
Let the value of mats be y
According to the question,
⇒ 10M × 20 = 20B × 20
⇒ M/B = 2/1
⇒ M : B = 2 : 1
1 Men's work = 2 unit per day
1 Boy's work = 1 unit per day
8 Men and 4 Boys make a met in 20 days
⇒ (10M × 20)/260 = ((8M + 4B)× 20)/y
⇒ 10 × 2 × 20/260 = (8 × 2 + 4 × 1) × 20/y
⇒ y = 260
∴ 260 mats will make in 20 days.