31. A shopkeeper sold two fans for * 1140 each. On one he gains 14%, while on the other he
loses 5%. Calculate his gain

1 thought on “<br />31. A shopkeeper sold two fans for * 1140 each. On one he gains 14%, while on the other he<br />loses 5%. Calculate his gain”

1. Given :

   • Selling Price = Rs. 1140
   • Gain on one fan = 14%
   • Loss on second fan = 5%

   To find :

   • gain or loss percent

   Solution :

   Cost Price of Fan one = [tex]\sf \dfrac{100}{100 + profit \%} \times S.P[/tex]

   = [tex]\sf \dfrac{100}{100 + 14} \times 1140[/tex]

   = [tex]\sf \dfrac{100}{114} \times 1140[/tex]

   = [tex]\sf \dfrac{114000}{114}[/tex]

   = 1000

   Cost Price of Fan two = [tex]\sf \dfrac{100}{100 – loss \%} \times S.P[/tex]

   = [tex]\sf \dfrac{100}{100 -5} \times 1140[/tex]

   = [tex]\sf \dfrac{100}{95} \times 1140[/tex]

   = [tex]\sf \dfrac{114000}{95}[/tex]

   = 1200

   Let’s find the Total Selling Price and Cost price,

   • Total Selling Price = 1140 + 1140

   = 2280

   • Total Cost Price = 1000 + 1200

   = 2200

   Since, S.P > C.P [Hence, it is Profit.]

   Profit = S.P – C.P

   = 2280 – 2200

   = 80

   Now,

   Profit% = [tex]\sf \dfrac{Profit}{C.P} \times 100[/tex]

   = [tex]\sf \dfrac{80}{2200} \times 100[/tex]

   = [tex]\sf \dfrac{8000}{2200}[/tex]

   = 3.6%

   Therefore, the Profit% of the fan is 3.6%.

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