A trader add 40% of the price he pays for
his goods to give the selling price. He later reduces the price of the goods,
in a sale, by 25%.
(i) If the trader buys an article for
Rs.640. Find its sale price.
(ii) Find the price paid by the trader for an
article whose sale price is Rs.1575.
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CP cost price
marked price MP = CP + 40/100 CP = 1.40 CP
price after discount DP or sale price SP =
(100 - 25 )/100 * MP = 0.75 * 1.40 CP = 1.05 CP
profit he makes = = (1.05 CP - CP)*100 / 1 CP= 5 %
1) CP = Rs 640 SP = 1.05 CP = 1.05 * 640 = rs 672
2) SP = 1575 SP = 1.05 CP
So cost price CP = SP /1.05 = 1575 /1.05 = rs 1500
marked price MP = CP + 40/100 CP = 1.40 CP
price after discount DP or sale price SP =
(100 - 25 )/100 * MP = 0.75 * 1.40 CP = 1.05 CP
profit he makes = = (1.05 CP - CP)*100 / 1 CP= 5 %
1) CP = Rs 640 SP = 1.05 CP = 1.05 * 640 = rs 672
2) SP = 1575 SP = 1.05 CP
So cost price CP = SP /1.05 = 1575 /1.05 = rs 1500
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