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An article was sold at 25% gain. Had it been sold for Rs 375 more, then the gain would have been 50%. What is the cost price (in Rs) of the article?1). 10002). 15003). 18004). 2000 |
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Answer» Let the CP of ARTICLE be c. SP = CP + Profit = CP + 25% = CP (1 + 25/100) = 5CP/4. New SP’ = SP + 375 = 5CP/4 + 375. New Gain% = 100 × (SP’ - CP)/CP = 100 × (5CP/4 + 375 - CP)/CP = 50 ⇒ 100 × (CP/4 + 375)/CP = 50 ⇒ (CP/4 + 375)/CP = 1/2 ⇒ 2(CP/4 + 375) = CP ⇒ CP/2 + 750 = CP ⇒ CP/2 = 750 ⇒ CP = Rs. 1500 |
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