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

31. A shopkeeper sold two fans for * 1140 each. On one he gains 14%, while on the other he
loses 5%. Calculate his gain or loss per cent in the whole transaction.

### 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 = $$\sf \dfrac{100}{100 + profit \%} \times S.P$$

= $$\sf \dfrac{100}{100 + 14} \times 1140$$

= $$\sf \dfrac{100}{114} \times 1140$$

= $$\sf \dfrac{114000}{114}$$

= 1000

Cost Price of Fan two = $$\sf \dfrac{100}{100 – loss \%} \times S.P$$

= $$\sf \dfrac{100}{100 -5} \times 1140$$

= $$\sf \dfrac{100}{95} \times 1140$$

= $$\sf \dfrac{114000}{95}$$

= 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% = $$\sf \dfrac{Profit}{C.P} \times 100$$

= $$\sf \dfrac{80}{2200} \times 100$$

= $$\sf \dfrac{8000}{2200}$$

= 3.6%

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