Discussion
The marked price on an item was Rs 4000/- but the shopkeeper offered a double discount of 30% and 15%. How much did he finally sell the item for?
Answer: A
The final selling price is Rs. 2380. A discount of 30% leaves 70% of the price and a further discount of 15% leaves 85% of that: \[ 4000\times 0.70 = 2800 \] \[ 2800\times 0.85 = 2380 \] Adding the discounts to give 45% would give Rs. 2200, which is not offered, and Rs. 4370, Rs. 2880 and Rs. 2330 do not follow from successive discounts in this order. So Rs. 2380 is correct.
The single equivalent discount is 30 + 15 - (30 x 15)/100 = 40.5%, so the price is 4000 x 0.595 = 2380, which agrees.
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