IBPS PO Mains 30 Nov 2024 Shift 2 Paper

Concept:Determine the discount percentages using the given variables, then compute the revenue by applying those discounts to the actual market prices.Explanation:Since $r$ is a two-digit product of distinct single-digit primes including $3$, the possible values are $3 \times 5 = 15$ and $3 \times 7 = 21$.Given $w + r = 33$ and $w > r$: if $r = 21$, then $w = 12$, which is invalid. Hence, $r = 15$ and $w = 18$.From the pie chart, $P$ angle is $72^\circ$, so $P = \frac{72}{360} \times 100 = 20\%$.Angle of $S$ is $180 - w = 180 - 18 = 162^\circ$, so $S = \frac{162}{360} \times 100 = 45\%$.Thus, $Q + R = 100\% - (20\% + 45\%) = 35\%$.Given $Q = z\%$ and $R = (z - r)\%$, we get $z + (z - 15) = 35$, so $z = 25$.Discount on item A $= \left(r - \frac{z}{5}\right)\% = (15 - 5)\% = 10\%$.Discount on item B $= \left(w - \frac{z}{5}\right)\% = (18 - 5)\% = 13\%$.Using the 2014 actual market prices, Rs. 340 for each item A and Rs. 420 for each item B:Selling price of A $= 340 \times (1 - 0.10) = \text{Rs. }306$.Revenue from A $= 4000 \times 306 = \text{Rs. }1,224,000$.Selling price of B $= 420 \times (1 - 0.13) = \text{Rs. }365.4$.Revenue from B $= 5000 \times 365.4 = \text{Rs. }1,827,000$.Total revenue $= 1,224,000 + 1,827,000 = \text{Rs. }3,051,000$.Answer:Rs. 3,051,000 (Option D).