Question

A merchant sells two dolls of price respectively Rs. 100 and Rs. 150 with a profit of 30% on first and a loss of 30% on second. What is his net profit/loss?

• A. gain of Rs.41.20
• B. gain of Rs.50
• C. loss of Rs .50
• D. loss of Rs.41.20

Answer 1

Answer:

D. loss of Rs.41.20

Selling Price of doll one = Rs. 100 This was sold with profit of 30% Cost Price of doll one = (100 × 100)/(100 + 30) ⇒ Cost Price of doll one = 10000/130 ⇒ Cost Price of doll one = Rs. 76.92 Selling Price of doll second = Rs. 150 This was sold with loss of 30% Cost Price of doll one = (150 × 100)/(100 - 30) ⇒ Cost Price of doll one = 15000/70 ⇒ Cost Price of doll one = Rs. 214.28 Total Cost Price of two dolls = 76.92 + 214.28 = Rs. 291.20 Total Selling Price of two dolls = 100 + 150 = Rs. 250 The merchant will face a net loss = 291.2 - 250 = Rs 41.20