Question

A mobile set after allowing a discount of 10% on its marked price, was sold at a gain of 20%,Had it been sold after allowing 20% discount,there would have been a profit Rs.350. Find the cost price and marked price of the mobile set.​

Answer 1

Let x be the cost price.

Let y be the marked price

Gain = 20%

Then , sale price = 120/100 * x = 1.2x

Now , sale price is after 10% discount from marked price.

Hence , marked price, y = 1.2x/90 * 100 =

y * 0.9 = x * 1.2

Now, with 20% discount, sale price = y * 80/100 = 0.8y

Now, profit = 0.8y — x

Now, 0.8y — x = 350

0.8 * x * 1.2/0.9 — x = 350

1.0667x — x = 350

Hence, x = 350/0.0667= Rs.5250

Hence marked price = (5250 + 350) * 100/80 = Rs.7000