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'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?

A97.5%

B110%

C87.5%

D112.5%

Answer:

D. 112.5%

Read Explanation:

1. Find A's cost price:

  • Let A's cost price be 'x'.

  • A sells to B at 25% profit, so B's cost price is 125% of A's cost price.

  • 125% of x = Rs. 300

  • (125/100) * x = 300

  • x = (300 * 100) / 125 = Rs. 240

2. Find B's selling price (which is C's cost price):

  • B sells to C at a 10% loss, so C's cost price is 90% of B's cost price.

  • C's cost price = 90% of Rs. 300 = (90/100) * 300 = Rs. 270

3. Calculate the percentage of C's cost price to A's cost price:

  • Percentage = (C's cost price / A's cost price) * 100

  • Percentage = (270 / 240) * 100 = 112.5%

Therefore, C's cost price is equal to 112.5% of A's cost price.


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