A shopkeeper promises to sell his goods at x% profit but he uses 20% less weight and also gain \(37\frac{1 }{2}\) %. Find x.
Answer & explanation
Correct answer: option 1
Let actual weight = 1000 gm
& CP of 100 gm is 1000 Rs.
CP of 1 gm is 1 Rs.
= 1000 × \(\frac{80}{100}\) = 800 gm
CP = 800 Rs.
37\(\frac{1}{2}\) = \(\frac{3}{8}\)
CP = 8P, SP = 11P
8P = 800 ⇒ P = 100
SP = 11P = 1100
CP = 1000
Loss = 1100 - 1000 = 100
Loss % = \(\frac{100}{1000}\) × 100 = 10% = x%