At a garment store a bill of ₹4000 attracts a 25% festival discount and a 10% loyalty discount. On Anita's bill the 25% is taken off first and the 10% off what remains; on Bhavna's bill the 10% is taken off first and the 25% off what remains. The difference between the two final amounts (in ₹) is:

Question

Accepted Answer

0. Anita pays 4000 × 0.75 × 0.90 = ₹2700 and Bhavna pays 4000 × 0.90 × 0.75 = ₹2700: multiplying by 0.75 and 0.90 in either order gives the same result, so the difference is ₹0. A shopper who takes the second discount on the ORIGINAL ₹4000 instead of on the reduced bill gets 3600 − 1000 = ₹2600 one way and ₹2700 the other, and so reports a difference of ₹100.

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