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

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