Multiple choice

If the work done by (p-1) men in (p+1) days and the work done by (p+2) men in (p–1) days are in the ratio 9 : 10, then the value of p is equal to. (p-1) पुरूषों द्वारा (p+1) दिनों में किये गये कार्य और (p+2) पुरूषों द्वारा (p-1) दिनों में किये गये कार्य में अनुपात 9 : 10 है, तो p का मान है-

  1. 5

  2. 6

  3. 7

  4. 8
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work is proportional to both men and days, so work = k × men × days. Setting up the ratio: [(p-1)(p+1)] / [(p+2)(p-1)] = 9/10. Simplifying: (p+1)/(p+2) = 9/10. Cross-multiplying: 10p + 10 = 9p + 18. Solving: p = 8. The key insight is that work varies directly with both manpower and time.

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