Question

a trader sells his goods for 75 and gets a profit percent equal to the cost price.the cost price ₹k.then k/12​

Answer 1

Given;

• SP = 75 Rs.
• CP = k Rs.
• Profit% = k%

Therefore p% = (SP - CP)/CP × 100

• k = (75-k)/k × 100
• k² = (75 - k)100
• k² + 100k -7500 = 0
• k² +150k - 50k - 7500 = 0
• k(k+150) - 50(k+150) = 0
• (k-50)(k+150) = 0

• at k-50 = 0 ; k = 50
• at k +150 = 0; k = -150

since money and % ≠ -ve

therefore CP = 50Rs and P% = 50%

#answerwithquality

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