Question

a)
A person sold a fan for Rs. 540 and he loses 10%. At what price should
he has to sell it to gain 10 %?
a) Rs 660
b) Rs. 648
c) 650 RS
d) none of these
​

Answer 1

Answer:

10 % loss of sp (540) = 600

cp = 600

gain 10% for selling = 600 ×110÷100= 660

new sp = 660

Answer 2

$\LARGE{ \underline{ \pink{ \sf{Required \: answer:}}}}$

The above question is based on Profit & loss arithmetic, where we are given with SP and lose, and we have to find the CP first and then the new selling price.

• Let the Cost price = C.P

We know that,

$\large{ \because{ \boxed{ \rm{Loss\% = \frac{Loss}{CP} \times 100}}}}$

Here, Loss can be written as CP - SP. Let's plug in the values to find the CP of the fan.

⇛ Loss % = (CP - SP / CP) × 100

⇛ 10 = (CP - 540 / CP) × 100

⇛ CP - 540 / CP = 1 / 10

Cross multiplying,

⇛ 10 (CP - 540) = CP

⇛ 10CP - 5400 = CP

⇛ 9CP = 5400

⇛ CP = Rs. 600

Now finding the SP if the person had gained 10%

⇛ SP = CP + Gain% of CP

⇛ SP = 600 + 10/100 × 600

⇛ SP = 600 + 60

⇛ SP = Rs. 660

Thus, the Correct Option is A. Rs 660