16. Reena sells a TV for Rs 18500 and she got a gain of 18%. What was the price at which she bought it?
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Step-by-step explanation:
Sale price = 18,500
Profit = Sale price - cost price
⇒Profit = 18,500 - cost price
Profit % = 18
⇒ Profit % = ( profit / cost price ) / 100
⇒ 18 = [( 18,500 - cost price ) / cost price ] x 100
⇒ 9 = [( 18,500 - cost price ) / cost price ] x 50
⇒ 9 x cost price = ( 18,500 - cost price ) x 50
⇒ 9 cost price = 9,25,000 - 50 cost price
⇒ 9 cost price + 50 cost price = 9,25,000
⇒ 59 cost price = 9,25,000
⇒ cost price = 9,25,000 / 59
⇒ cost price = 15678
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