A shopkeeper using a faulty weight while professes to sell the article at cost price and gains a profit of 25%. Find the faulty weight he uses for 1000 g.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 800 g.
The shopkeeper gains a profit of 25%
Formulae:-
Faulty weight/(True weight - Faulty weight) × 100 = Profit% earned
Now,
Let the false weight used be x
⇒ x/(1000 - x) × 100 = 25
⇒ 100x = 25(1000 - x)
⇒ 100x = 25000 - 25x
⇒ 125x = 25000
⇒ x = 200
Hence, the faulty weight used by the shopkeeper = 1000 - 200 = 800g