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CBSE Class 10 Answered

IF THE MANUFACTURER GAINS10% ON AN ARTICLE ,THE WHOLESALE DEALER GAIN 15% AND THE RETAILER 25%,THEN THE COST OF A MUSIC PLAYER WHOSE RETAIL PRICE IS Rs1265 IS
Asked by | 13 Apr, 2013, 09:42: PM
answered-by-expert Expert Answer
Let the cost of the music player be Rs x
 
The gain% for manufacturer = 10%
Gain% = Gain/Cost *100
 
Hence, Gain = Gain%/100 * Cost = 0.1x
Hence, the selling price for manufacturer = Cost + Gain = 1.1x 
Also, since the SP for manufacturer would be equal to the CP for wholesale dealer. 
hence, CP for wholesale dealer = 1.1x
 
Now, the gain% for whole dealer = 15%
Hence, Gain = Gain%/100 * Cost = 0.15* 1.1x = 0.165x
 
Hence, the selling price for wholesaler dealer = 1.1x + 0.165x = 1.265x which is equal to the CP for the retailer. 
 
Now, the gain% for retailer = 25%
Hence, Gain = Gain%/100 * Cost = 0.25* 1.265x = 0.31625x
 
Hence, the selling price for wholesaler dealer = 1.265x + 0.31625x = 1.58125x which is equal to Rs 1265
 
Hence, 1.58125x = 1265
x = Rs 800
Answered by | 14 Apr, 2013, 05:50: AM

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