'A' sells goods to 'B' at 25% profit for Rs.300. 'B' sells it to ‘C' at 10% loss. In this sale, C's cost price is equal to what percent of A's cost price?

Correct option is D

Given:

A sells goods to B at a 25% profit for Rs. 300.

B sells it to C at a 10% loss.

We need to find what percentage C's cost price is of A's cost price.

Solution:

Determine A's cost price.

Let A's cost price be x.

Since A sells the goods to B at a 25% profit:

Selling Price of A = x + 0.25x = 1.25x

Given that the selling price of A (which is B's cost price) is Rs. 300:

1.25x = 300

x = 300 / 1.25 = 240

So, A's cost price is Rs. 240.

Determine C's cost price.

Let B's cost price be y = 300 (as given).

B sells the goods to C at a 10% loss:

C's Cost Price = y - 0.10y = 0.90y

C's Cost Price = 0.90 × 300 = 270

then the percentage of C's cost price relative to A's cost price.

Percentage = (C's Cost Price / A's Cost Price) × 100 = (270 / 240) × 100 = 112.5%