Question

a man sold his watch at a loss of 5%.had he sold it for rs 56.25 more he would have gained 10 %. the cp of watch is

Answer 1

Let the cost price be 100%

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STEP 1: Find the percentage:

When he sold it at a loss of 5%

⇒ Percentage sold = 100 - 5 = 95%

When he sold it at a gain of 10%

⇒ Percentage gain = 100 + 10 = 110%

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STEP 2: Find the difference in price and percentage:

Difference in percentage = 110 - 95 = 15%

Difference in price = Rs 56.25

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STEP 3: Equate the percentage and price, and find 100%:

15% = 56.25

1% = 56.25 ÷ 15 = 3.75

100% = 3.75 x 100 = Rs 375

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The cost price of the watch is 375.