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Surendra buys mangoes at the rate of 3 kg for ₹21 and sells them at 5 kg for ₹50. To earn ₹102 as profit, he must sell:
56 kg
34 kg
32 kg
26 kg
34 kg
Calculate unit profit per kg: CP = ₹7/kg, SP = ₹10/kg. Thus, profit per kg = ₹3. Divide total target profit by profit per kg.
Cost price is ₹21 for 3 kg. Selling price is ₹50 for 5 kg. Profit required is ₹102.
Profit=SP−CP
Calculate unit profit per kg: CP = ₹7/kg, SP = ₹10/kg. Thus, profit per kg = ₹3. Divide total target profit by profit per kg.
Students often fail to normalize the quantities to 1 kg for both buying and selling, leading to confusion with the total quantities.
Calculate Cost Price (CP) per kg
Surendra buys 3 kg for ₹21. So, the CP for 1 kg is calculated as 21/3.
CP=321=₹7 per kg
Calculate Selling Price (SP) per kg
Surendra sells 5 kg for ₹50. So, the SP for 1 kg is calculated as 50/5.
SP=550=₹10 per kg
Calculate Profit per kg
Profit per kg is the difference between SP and CP: 10−7.
Profitunit=10−7=₹3 per kg
Calculate total weight required
To earn a total profit of ₹102, divide the total profit by the profit per kg: 102/3.
Total Weight=3102=34 kg
B is correct because the profit per kg is ₹3, so to earn a total profit of ₹102, he must sell 102/3=34 kg of mangoes.
This type of unit-normalization problem is common in work-time and distance-speed problems where normalizing to a single unit (1 kg, 1 hour, or 1 km) simplifies the calculation significantly.
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