If goods are purchased at ₹450 and 1/3 are sold at a loss of 10%, at what gain percentage should the remainder be sold so as to gain 20% on the whole transaction?

32%

28%

26%

35%

APEDIA

RRB NTPC Graduate Tier 1

2025 • 09 Jun, 2025 • Shift-1

If goods are purchased at ₹450 and 1/3 are sold at a loss of 10%, at what gain percentage should the remainder be sold so as to gain 20% on the whole transaction?

Correct Answer

35%

Fractional Assessment Setup: To completely avoid complex decimals, let's represent the total cost conceptually as 300 units (representing the whole). The target......

💡 Analysis & Explanation

Fractional Assessment Setup ▼

To completely avoid complex decimals, let's represent the total cost conceptually as 300 units (representing the whole). The target is a 20% overall profit. Thus, the required total Selling Price (SP) for the whole batch must be 300 + (20% of 300) = 360 units.

Executing the First Transaction ▼

Exactly 1/3rd of the goods equates to a Cost Price (CP) of 100 units. These were sold at a sharp 10% loss, making their specific Selling Price = 90 units.

Evaluating the Remainder ▼

The remaining goods possess a CP of 200 units (300 - 100). To achieve the grand target SP of 360 units, these remaining goods must fetch exactly 270 units (360 - 90).

Calculating the Gain Percentage ▼

Selling goods worth 200 for 270 generates a pure profit of 70 units. The required profit percentage is therefore calculated as (70 / 200) * 100 = 35%.

Conclusion ▼

The remainder must be strictly sold at a 35% gain.

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If goods are purchased at ₹450 and 1/3 are sold at a loss of 10%, at what gain percentage should the remainder be sold so as to gain 20% on the whole transaction?