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A man bought a piece of land for Rs48,000. He sold two-fifth of it at a loss of 10%. At what gain percentage (rounded off to 1
decimal place) should he sell the remaining land to earn an overall profit of 42%?
76.7%
84.3%
79.5%
89.8%
- The original cost of the land is Rs48,000.
- He sold two-fifths of the land, which means he sold land worth Rs19,200 (i.e., 2/5 of Rs48,000).
- This part was sold at a 10% loss:
- Loss = 10% of Rs19,200 = Rs1,920
- So, selling price = Rs19,200 - Rs1,920 = Rs17,280
- He wants to earn a 42% overall profit, so he must achieve Rs68,160 from the total sale (1.42 times Rs48,000).
- Total required from remaining 3/5 of land is Rs68,160 - Rs17,280 = Rs50,880
- Original cost of 3/5 land = Rs28,800
- Required gain = Rs50,880 - Rs28,800 = Rs22,080
- Calculate required gain percentage: (Rs22,080/Rs28,800) × 100 ˜ 76.7%
So, the correct answer is Option 1: 76.7%.
By: santosh ProfileResourcesReport error
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