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Aman marked his goods price at 24% above the cost price. He sold half the stock at the marked price, one quarter at a discount of 30% on the marked price and the rest at a discount of 48% on the marked price. His total gain is:
- a)2.34%
- b)7.80%
- c)3.82%
- d)2.82%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Aman marked his goods price at24%above the cost price. He sold half th...
Let, the cost price of goods be Rs. 100 and total stock be N.
So, the total cost of all goods = 100/N
⇒ Marked price of goods =100+100×(24/100) = Rs. 124
Given, he sold half of the stock at Rs. 124
⇒ Total Selling price of N/2 goods = 130×(N/2) = 65 N
Selling price of another N/4 goods = (70% of 124 = 86.8
Total selling price N/4 goods = 86.8×(N/4) = 21.7N
Selling price of another N/4 goods = (52% of 124 = 64.48\)
Total selling price N/4 goods = 64.48×(N/4) = 16.12N
Total selling price = 65 N+21.7 N+16.12 N = 102.82 N
Gain percentage = [(S⋅P−C⋅P)C⋅P]×100
= [(102.82N−100N)/100N]×100
= 2.82%
∴ He has 2.82% of gain.
So, the total cost of all goods = 100/N
⇒ Marked price of goods =100+100×(24/100) = Rs. 124
Given, he sold half of the stock at Rs. 124
⇒ Total Selling price of N/2 goods = 130×(N/2) = 65 N
Selling price of another N/4 goods = (70% of 124 = 86.8
Total selling price N/4 goods = 86.8×(N/4) = 21.7N
Selling price of another N/4 goods = (52% of 124 = 64.48\)
Total selling price N/4 goods = 64.48×(N/4) = 16.12N
Total selling price = 65 N+21.7 N+16.12 N = 102.82 N
Gain percentage = [(S⋅P−C⋅P)C⋅P]×100
= [(102.82N−100N)/100N]×100
= 2.82%
∴ He has 2.82% of gain.
Most Upvoted Answer
Aman marked his goods price at24%above the cost price. He sold half th...
Given Data:
- Marked price: 24% above cost price
- Sold half the stock at marked price
- Sold one quarter at a discount of 30%
- Sold the rest at a discount of 48%
Calculating Selling Price:
- Let the cost price be 100.
- Marked price = 100 + 24% of 100 = 124
- Selling price for half stock = 124
- Selling price for one quarter stock at 30% discount = 124 - 30% of 124 = 86.8
- Selling price for remaining stock at 48% discount = 124 - 48% of 124 = 64.48
Calculating Total Revenue:
- Total revenue = (0.5 * 124) + (0.25 * 86.8) + (0.25 * 64.48) = 62 + 21.7 + 16.12 = 99.82
Calculating Total Cost:
- Total cost = 100 * 1 = 100
Calculating Gain Percentage:
- Gain = Total revenue - Total cost = 99.82 - 100 = -0.18
- Gain percentage = (Gain / Total cost) * 100 = (-0.18 / 100) * 100 = -0.18%
Therefore, the total gain is -0.18%, which is approximately 2.82% loss.
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Aman marked his goods price at24%above the cost price. He sold half the stock at the marked price, one quarter at a discount of30%on the marked price and the rest at a discount of48%on the marked price. His total gain is:a)2.34%b)7.80%c)3.82%d)2.82%Correct answer is option 'D'. Can you explain this answer?
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Aman marked his goods price at24%above the cost price. He sold half the stock at the marked price, one quarter at a discount of30%on the marked price and the rest at a discount of48%on the marked price. His total gain is:a)2.34%b)7.80%c)3.82%d)2.82%Correct answer is option 'D'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2025 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about Aman marked his goods price at24%above the cost price. He sold half the stock at the marked price, one quarter at a discount of30%on the marked price and the rest at a discount of48%on the marked price. His total gain is:a)2.34%b)7.80%c)3.82%d)2.82%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Aman marked his goods price at24%above the cost price. He sold half the stock at the marked price, one quarter at a discount of30%on the marked price and the rest at a discount of48%on the marked price. His total gain is:a)2.34%b)7.80%c)3.82%d)2.82%Correct answer is option 'D'. Can you explain this answer?.
Aman marked his goods price at24%above the cost price. He sold half the stock at the marked price, one quarter at a discount of30%on the marked price and the rest at a discount of48%on the marked price. His total gain is:a)2.34%b)7.80%c)3.82%d)2.82%Correct answer is option 'D'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2025 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about Aman marked his goods price at24%above the cost price. He sold half the stock at the marked price, one quarter at a discount of30%on the marked price and the rest at a discount of48%on the marked price. His total gain is:a)2.34%b)7.80%c)3.82%d)2.82%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Aman marked his goods price at24%above the cost price. He sold half the stock at the marked price, one quarter at a discount of30%on the marked price and the rest at a discount of48%on the marked price. His total gain is:a)2.34%b)7.80%c)3.82%d)2.82%Correct answer is option 'D'. Can you explain this answer?.
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