After offering two successive discounts a toy with a marked price of ₹150 is sold at ₹105. If the value of the first discount is 12.5%, what is the value of the second discount?

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Accepted Answer

Step 1: Calculate the price after the first discount.  
First discount = 12.5% of ₹150 = (12.5/100) × 150 = ₹18.75  
Price after first discount = 150 - 18.75 = ₹131.25

Step 2: Let the second discount be x%.  
Price after second discount = 131.25 × (1 - x/100) = ₹105

Step 3: Solve for x:  
131.25 × (1 - x/100) = 105  
1 - x/100 = 105 / 131.25  
1 - x/100 = 0.8  
x/100 = 1 - 0.8 = 0.2  
x = 0.2 × 100 = 20%

Therefore, the value of the second discount is 20%.

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