Ramendra purchased some watermelons for Rs. 1,500. He sold one-fourth of them at a loss of 12%. At what gain percentage should the remaining watermelons be sold so as to gain 25% on the whole transaction (correct to two decimal places)?

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Question

This question was previously asked in

SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 05 Jul, 2024 Shift 2)

Answer 1

Given:

Ramendra purchased watermelons for Rs. 1,500

He sold one-fourth of them at a loss of 12%

He wants to gain 25% on the whole transaction

Formula used:

Total Cost Price (CP) = Rs. 1,500

CP of 1/4 watermelons = 1500/4 = Rs. 375

Loss on 1/4 watermelons = 12%

CP of remaining 3/4 watermelons = 1500 - 375 = Rs. 1125

Overall Gain = 25%

Total Selling Price (SP) = CP × (1 + Overall Gain%)

Calculations:

SP of 1/4 watermelons = CP - Loss

⇒ SP of 1/4 watermelons = 375 - (12/100 × 375)

⇒ SP of 1/4 watermelons = 375 - 45

⇒ SP of 1/4 watermelons = Rs. 330

Total SP for 25% overall gain = 1500 × (1 + 25/100)

⇒ Total SP = 1500 × 1.25

⇒ Total SP = Rs. 1875

SP of remaining 3/4 watermelons = Total SP - SP of 1/4 watermelons

⇒ SP of remaining 3/4 watermelons = 1875 - 330

⇒ SP of remaining 3/4 watermelons = Rs. 1545

Gain on remaining 3/4 watermelons = SP - CP

⇒ Gain = 1545 - 1125

⇒ Gain = Rs. 420

Gain Percentage on remaining 3/4 watermelons = (Gain/CP) × 100

⇒ Gain Percentage = (420/1125) × 100

⇒ Gain Percentage = 37.33%

∴ The correct answer is option 3.

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