IBPS PO Mains 5 Nov 2023 Paper

Concept:Use ratios and percentage shares to first find shop A's sales distribution, then apply the same chart-based percentage relation to shop D.Explanation:Let shop A's Tuesday sales be $5x$.Since Monday is 60% more than Tuesday, Monday sales $= 5x + 60\% \times 5x = 8x$.Given Monday : Wednesday $= 8:7$, so Wednesday sales $= 7x$.Thus, shop A's total sales $= 8x + 5x + 7x = 20x$.From the given data, shop A's Tuesday sales $= 100$, so $5x = 100$, giving $x = 20$.Hence, Monday sales $= 160$ and Wednesday sales $= 140$.A's Wednesday share $= \frac{140}{160+100+140} \times 100 = \frac{140}{400} \times 100 = 35\%$.For shop D, total sales on all three days $= 360$.Monday sales $= 40\%$ of $360 = 144$.As per the chart, D's Wednesday share is $5\%$ less than A's Wednesday share, so it is $35\% - 5\% = 30\%$.Therefore, D's Wednesday sales $= 30\%$ of $360 = 108$.So, D's Tuesday sales $= 360 - (144 + 108) = 108$.Answer:$108$, i.e. option B.