Question

A man purchases 4 shirt of each 2000 one is sold at again of 10% what is the gain % of remaining 3 shirts to get an overall profit of 25% ?

• A. 30
• B. 25
• C. 45
• D. 35

Answer 1

Answer:

A. 30

Calculate Total Cost Price (CP)

• A man purchases 4 shirts, each costing ₹2000.

• Total CP of 4 shirts = 4 × ₹2000 = ₹8000.

Determine Desired Overall Selling Price (SP)

• The aim is to achieve an overall profit of 25% on all 4 shirts.

• Overall Profit Amount = 25% of Total CP = (25/100) × ₹8000 = ₹2000.

• Desired Total SP of 4 shirts = Total CP + Overall Profit = ₹8000 + ₹2000 = ₹10000.

Calculate SP of the First Shirt

• One shirt is sold at a gain of 10%.

• CP of one shirt = ₹2000.

• Profit on the first shirt = 10% of ₹2000 = (10/100) × ₹2000 = ₹200.

• SP of the first shirt = CP + Profit = ₹2000 + ₹200 = ₹2200.

Calculate Required SP for Remaining Three Shirts

• We know the desired total SP for 4 shirts (₹10000) and the SP of the first shirt (₹2200).

• SP required from the remaining 3 shirts = Desired Total SP - SP of first shirt = ₹10000 - ₹2200 = ₹7800.

Calculate CP of Remaining Three Shirts

• CP of each shirt is ₹2000.

• CP of the remaining 3 shirts = 3 × ₹2000 = ₹6000.

Determine Gain on Remaining Three Shirts

• Gain on remaining 3 shirts = SP of 3 shirts - CP of 3 shirts = ₹7800 - ₹6000 = ₹1800.

Calculate Gain Percentage for Remaining Three Shirts

• Gain % = (Gain / CP of 3 shirts) × 100

• Gain % = (₹1800 / ₹6000) × 100

• Gain % = (18/60) × 100 = (3/10) × 100 = 30%.