If goods are purchased for Rs. 840 and one-fourth of them are sold at a loss of 20%, at what profit percentage should the remainder be sold to gain 20% on the whole transaction? MCQ with Answer and Explanation

If goods are purchased for Rs. 840 and one-fourth of them are sold at a loss of 20%, at what profit percentage should the remainder be sold to gain 20% on the whole transaction?
A. 30%
B. 28.33%
C. 35%
D. 33.33%
Answer: Option D
Solution (By JKSSB Mock Tests)
Total Cost Price = 840. Target Selling Price = 840 * 1.20 = 1008. Cost Price of one-fourth = 210. Selling Price of this part = 210 * 0.80 = 168. Remaining Selling Price needed = 1008 - 168 = 840. Cost Price of remainder = 630. Profit required on remainder = 840 - 630 = 210. Profit percentage = (210 / 630) * 100 = 33.33%.

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Practice More Profit And Loss Questions

Question #1
A person sells a watch for Rs. 900, gaining 12.5%. Find the cost price.
A. Rs. 800
B. Rs. 820
C. Rs. 840
D. Rs. 780

Correct Answer: Option A


Explanation:
CP = 900 / 1.125 = 800.

This question belongs to: Maths Profit And Loss
Question #2
A trader mixes two types of pulses, A costing Rs. 80/kg and B costing Rs. 120/kg, in the ratio 3:2. He marks up the mixture by 25% on the cost price and allows a 10% discount. Find his net profit per kg.
A. Rs. 12
B. Rs. 15
C. Rs. 14
D. Rs. 10

Correct Answer: Option A


Explanation:
Cost Price per kg of mixture = [(3 * 80) + (2 * 120)] / 5 = (240 + 240) / 5 = 96. Marked Price = 96 * 1.25 = 120. Selling Price = 120 * 0.90 = 108. Net profit = 108 - 96 = Rs. 12.

This question belongs to: Maths Profit And Loss
Question #3
If the selling price of an article is Rs. 450 and the profit is 12.5%, find the cost price.
A. Rs. 420
B. Rs. 410
C. Rs. 400
D. Rs. 380

Correct Answer: Option C


Explanation:
CP = 450/1.125 = 400.

This question belongs to: Maths Profit And Loss