Question

11. A man sold two watches for 6,000 each. On one watch he gains 20% and on the other he loses 20% . what is his net gain or loss percent​

Answer 1

Answer:

He gained nothing. It was neither a gain nor loss.

Step-by-step explanation:

Price of watches =  6000 each

Gain= 20/100 x 6000

       = 1200

Loss= 20/100 x 6000

       = 1200

== 1200(gain) - 1200(loss)

==0

Answer 2

Step-by-step explanation:

Selling price (SP) of each watch = Rs.6000

For 1st watch:-

• SP = Rs.6000

• Gain = 20%

$\rm \dashrightarrow CP = \dfrac{100}{100+Gain\%}\times SP$

$\rm \dashrightarrow CP = \dfrac{100}{100+20}\times 6000$

$\rm \dashrightarrow CP = \dfrac{100}{120}\times 6000$

$\rm \dashrightarrow CP = 5000$

∴ Cost price of first watch = Rs.5000

For 2nd watch:-

• SP = Rs.6000

• Loss = 20%

$\rm \dashrightarrow CP = \dfrac{100}{100-Loss\%}\times SP$

$\rm \dashrightarrow CP = \dfrac{100}{100-20}\times 6000$

$\rm \dashrightarrow CP = \dfrac{100}{80}\times 6000$

$\rm \dashrightarrow CP = 7500$

∴ Cost price of second watch = Rs.7500

Total CP of two watches = 7500 + 5000 = Rs.12500

Total SP of two watches = 6000 + 6000 = Rs.12000

Here, CP > SP , so Loss

⇢ Loss = CP - SP

⇢ Loss = 12500 - 12000

⇢ Loss = 500

Now:-

$\rm \dashrightarrow Loss\% = \dfrac{Loss}{CP}\times 100$

$\rm \dashrightarrow Loss\% = \dfrac{500}{12500}\times 100$

$\rm \dashrightarrow Loss\% = 4\%$

∴ Net Loss% = 4%