Ajay bought nine mobile phones for 8500 each. By mistake three of these were sold at a loss of 10% each. At what price should the remaining six mobile phones be sold to get a profit of 15%? What is the gain per cent at which each of the six mobile phones are sold?
Answers
Solution-
Total CP of nine Mobile phones
= ₹(9×8500) = ₹76,500
If net gain on sale of 9 mobile phone = 15%, then, SP of nine Mobile phones
= CP + Gain = ₹ [76,500+(15/100×76,500)]
= ₹(76,500+11,475) = ₹ 87,975
Now, CP = ₹8500. If three mobile phones was sold at a loss of 10%, then
Loss = ₹(10/100×8500)=₹850
SP = CP - Loss = ₹(8500-850)=₹7650
The amount received on selling 3 mobiles phones at ₹7650 = ₹(3×7650) =₹22,950
Amount expected from the sale of remaining six mobile phones = ₹(87,975-22,950) = ₹65,025
SP of each of the remaining six mobile phones
= ₹(65,025/6) = ₹10,837.50
Thus, remaining 6 mobile phones should be sold at ₹10,837.50 each.
Gain on each mobile phone = SP - CP
= ₹10,837.50 - ₹8500 = ₹2337.50
Gain% for six mobile phones
= (Gain/CP ×100)%
= (2337.50/8500×100)%
= 27.5%
Hence, 27.5% of the six mobile phones are sold.