A shopkeeper buys a watch and a speaker for a total of Rs.1600. He sells the watch at 30% profit and the speaker at a profit of 20% after offering a discount of 20% on the marked price for speaker. If his total profit is 25.625%, how much more profit he would have obtained, had he sold the speaker at its marked price?
This questions was previously asked in
IBPS PO Mains-2017
None of these
Incorrect AnswerExplanation:
Correct option 3: 210
Let the cost price of the watch be x.
Cost price of the speaker = 1600 - x
Profit obtained on the watch = 30 x x/100 = 0.3x
Profit obtained on the speaker = 20 x (1600 - x)/100 = 320 -0.2x
Total profit = 320 +0.3x-0.2x=320 + 0.1x
According to question, profit= 25.625 % 25.625 x 1600/100 = Rs.410
Hence, 320 +0.1x = 410
⇒ 0.1x = 410-320 = 90
⇒x=90/0.1 Rs. 900
The cost price of the speaker = 1600-900 = Rs. 700
Selling price = Cost Price + Profit = 700 + 700 x 20/100 = 700 + 140 = Rs. 840
Let the marked price be y.
⇒ 840 = y - 20 xy/100 = 0.8y
Discount = 20%
⇒y=840/0.8 = Rs. 1050
Difference between marked price and selling price = 1050 - 840 = Rs. 210
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By: Parvesh Mehta