Q7 2024, CSAT 2024

A certain number of men can complete a piece of work in 6k days, where k is a natural number. By what percent should the number of men be increased so that the work can be completed in 5k days?

एक निश्चित संख्यक व्यक्ति एक कार्य को 6k दिनों में पूरा कर सकते हैं, जहाँ k एक धनपूर्ण संख्या है। व्यक्तियों की संख्या में कितने प्रतिशत की वृद्धि की जाए ताकि यह कार्य 5k दिनों में पूरा किया जा सके?

Given:

The number of men required to complete the work in 6k days is M.
The number of days required to complete the work is reduced to 5k days. We need to find the percentage increase in the number of men required.
Let's denote the initial number of men as M and the increased number of men as N.