CDS 2025 PYQ with Answer — A shopkeeper gives three consecutive discounts of 10%, 20% and 25%, a…

2025 · Q60

A shopkeeper gives three consecutive discounts of 10%, 20% and 25%, after which he sells at 8% profit on cost price. If he had sold after the first discount only, what profit would he have got?

Elementary MathematicsProfit and Loss

A20%
B40%
C50%
DNone of the above

Explanation

Let marked price be M: after three discounts SP=0.9*0.8*0.75*M=0.54M=1.08*CP, so CP=0.5M. After the first discount only, SP=0.9M, profit=(0.9-0.5)/0.5=80%, which is not listed - hence None of the above. Computing profit on the marked price instead of cost is the error.