Question

A man purchases 3 watches at 2000 each . One at a gain of 10% and what is the gain % of remaining to watches to get 30% gain at all ?

• A. 60
• B. 40
• C. 25
• D. 55

Answer 1

Answer:

B. 40

1. Calculate Total Cost Price (CP)

• The cost of one watch is ₹2000.

• Since 3 watches are purchased, the Total CP = 3 × ₹2000 = ₹6000.

2. Determine the Desired Overall Selling Price (SP)

• The man aims for an overall gain of 30% on the total cost.

• Desired Total Profit = 30% of Total CP = 0.30 × ₹6000 = ₹1800.

• Desired Total SP = Total CP + Desired Total Profit = ₹6000 + ₹1800 = ₹7800.

3. Calculate the Selling Price (SP) of the First Watch

• The first watch is sold at a gain of 10%.

• CP of the first watch = ₹2000.

• Profit on the first watch = 10% of ₹2000 = 0.10 × ₹2000 = ₹200.

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

4. Calculate the Required Selling Price (SP) for the Remaining Two Watches

• To achieve the overall desired SP, the remaining two watches must cover the deficit.

• Required SP for remaining 2 watches = Desired Total SP - SP of the first watch = ₹7800 - ₹2200 = ₹5600.

5. Calculate the Cost Price (CP) of the Remaining Two Watches

• CP of each watch = ₹2000.

• Total CP of the remaining 2 watches = 2 × ₹2000 = ₹4000.

6. Determine the Gain Amount on the Remaining Two Watches

• Gain on remaining 2 watches = SP of remaining 2 watches - CP of remaining 2 watches = ₹5600 - ₹4000 = ₹1600.

7. Calculate the Gain Percentage for the Remaining Two Watches

• Using the Profit Percentage formula: (Profit / CP) × 100

• Gain % = (₹1600 / ₹4000) × 100

• Gain % = (16 / 40) × 100

• Gain % = (2 / 5) × 100

• Gain % = 40%.