Question

Gita sold her watch to sita for rs. 800 at a loss of 20%. The same watch was sold to gita by shakti ar 20% loss. What is the actual price of watch

Answer 1

CP for Gita = a

SP of watch = 800

a x 80/100 = 800

a = 80000/80 = 1000

CP for gita = Rs. 1000 = SP of Shakti

CP of watch for Shakthi = 1000 x100/80 = Rs. 1250

Rs.1250 is the actual price of watch

Answer 2

Answer:

Actual Price of Watch is Rs. 1250

Step-by-step explanation:

Let the Actual price of watch = x

Shakti sold watch to Gita at 20% loss.

So, $SP=CP-loss\:money=y-\frac{20}{100}y=y-\frac{y}{5}=\frac{4y}{5}$

SP price watch become cost price when selling to Gita.SP

Gita sold watch to Sita at 20% loss.

So, $SP=CP-loss\:money=\frac{4y}{5}-\frac{20}{100}\times\frac{4y}{5}=\frac{4y}{5}-\frac{4y}{25}=\frac{20y}{25}-\frac{4y}{5}=\frac{16y}{25}$

According to the question,

$\frac{16y}{25}=800$

16y = 800× 25

16y = 20000

y = 1250

Therefore, Actual Price of Watch is Rs. 1250