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A man gives 20% discount and earns 20% profit by selling an article for Rs. 1000. Had he sold the article at 10% discount, then what would be the profit percentage?
- a)35%
- b)30%
- c)25%
- d)20%
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A man gives20% discount and earns 20% profit by selling an article for...
A man gives 20% discount,
⇒ ratio of MP ∶ SP = 5 ∶ 4 ---- 1
and he earns 20% profit,
⇒ ratio of CP ∶ SP = 5 ∶ 6 ---- 2
From equation 1 and 2,
⇒ CP ∶ SP ∶ MP = 10 ∶ 12 ∶ 15 ----- 3
Had he sold the article at 10% discount,
⇒ SP = 13.5
∴ Profit percent = 3.5/10 × 100 = 35%
⇒ ratio of MP ∶ SP = 5 ∶ 4 ---- 1
and he earns 20% profit,
⇒ ratio of CP ∶ SP = 5 ∶ 6 ---- 2
From equation 1 and 2,
⇒ CP ∶ SP ∶ MP = 10 ∶ 12 ∶ 15 ----- 3
Had he sold the article at 10% discount,
⇒ SP = 13.5
∴ Profit percent = 3.5/10 × 100 = 35%
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A man gives20% discount and earns 20% profit by selling an article for Rs. 1000. Had he sold the article at 10% discount, then what would be the profit percentage?a)35%b)30%c)25%d)20%Correct answer is option 'A'. Can you explain this answer?
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