A man purchases some oranges at the rate of 3 for ₹40 and the same quantity at the rate of 5 for ₹60. If he sells all the oranges at the rate of 3 for ₹50, then find his gain or loss percent (to the nearest integer).
Answer & explanation
Correct answer: option 1
Qty : Price
Buy1 ⇒ 3 : 40 ..........(i)
Buy2 ⇒ 5 : 60 ..........(ii)
ATQ, making qty equal⇒ (i) × 5 & (ii) × 3
Qty : Price
Buy1 ⇒ 15 : 200
Buy2 ⇒ 15 : 180
Buy ⇒ 30 : 380 ( Buy1 + Buy2)
Sale ⇒ 3 : 50 (multiply by 10 to make Qty equal)
Sale ⇒ 30 : 500
So, C.P. = 380 and S.P. = 500
⇒ Profit = 500 - 380 = 120
Profit % = \(\frac{120}{380}\) × 100 = 31.5% = 32%