By selling 45 lemons for ₹ 40 a man loses 20%. How many should he sell for ₹24 to gain 20%?
Answer & explanation
Correct answer: option 2
⇒ SP of one lemon = \(\frac{40}{45}\) [@20% loss]
⇒ CP of one lemon = \(\frac{40}{45}\) × \(\frac{100}{80}\)
⇒ SP of one lemon = \(\frac{40}{45}\) × \(\frac{100}{80}\) × \(\frac{120}{100}\) [@20% profit]
= \(\frac{4 × 6}{3 × 6}\)
= \(\frac{24}{18}\)
So , SP of 18 lemons = Rs. 24
Therefore, he should sell 18 lemons in Rs.24 to gain 20%