Question

Mako?

The marked price of a watch is 30% above the cost price. When it is sold allowing
20% discount on it, there is a gain of Rs 150. Find the marked price and the cost
price of the watch.
CO
When​

Answer 1

The marked price of the watch is Rs 4875 and the cost price is Rs 3750

Step-by-step explanation:

Let the cost price of the watch be Rs. y and the marked price of the watch be Rs. x.

The marked price of a watch is 30% above the cost price, therefore the marked price of the watch (x) = y + 30% × y = y + 0.3y = 1.3y.

The watch is sold at 20% discount, this means it is sold at x - 20% × x = x - 0.2x = 0.8x.

When sold at 20% discount, there is a gain of Rs 150. Therefore:

0.8x = 150 + cost price

0.8x = 150 + y

but x = 1.3y

0.8(1.3y) = 150 + y

1.04y = 150 + y

1.04y - y = 150

0.04y = 150

y = 3750

Since x = 1.3y = 1.3(3750) = 4875

Therefore the marked price of the watch is Rs 4875 and the cost price is Rs 3750