IBPS PO Quantitative Aptitude: Work and Wages questions with solutions

Q1. Two men and one woman can finish a piece of work in 12 days, while four women and two men can do the same work in 8 days. If a man earns ₹75 per day and the wage per day for a woman is ₹x, then what will be the total wages of four women?

1. 780
2. 875
3. 650
4. 950

Answer: 950

Let one man's one-day work be m and one woman's one-day work be w. From the given data, 12(2m+w)=1 and 8(2m+4w)=1, which gives the relation between m and w. Since wages are inversely proportional to work rates, if a man earns ₹75 per day, the woman's wage comes out to ₹237.5, so four women earn ₹950 per day.