Discussion
Rudra goes to a shop to get an encyclopedia costing ₹ 11,212.32. If the Shopkeeper offers 04 discount options to Rudra, which option should he choose to get the maximum discount?
Answer: B
Rudra should choose the single discount of 30%.
Successive discounts are applied one after another, so the second acts on a reduced price. The net discount for successive rates \(a\) and \(b\) is \(a + b - ab/100\):
\[ \begin{aligned} 15, 15 &: 30 - 2.25 = 27.75\% \\ 20, 10 &: 30 - 2 = 28\% \\ 20, 12 &: 32 - 2.4 = 29.6\% \end{aligned} \]
All three successive offers fall short of a flat 30%, so 30% gives the maximum saving. The price of ₹ 11,212.32 is irrelevant, since every option is a percentage of the same price.
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