A60
B40
C25
D55
Answer:
B. 40
Read Explanation:
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%.