After a 20% hike, the cost of Chinese Vase is Rs. 2000. What was the original price of the object?

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Solution

Let the original price of the vase =Rs.x Hike in price =20%

$∴$ Price after hike $= x \times \frac{(100 + 20)}{100}$

$= \frac{120}{100} x = \frac{6}{5} x$

$∴ \frac{6}{5} x = 2000 \Rightarrow x = \frac{2000 \times 5}{6}$ $\Rightarrow x = \frac{5000}{3} = 1666 \frac{2}{3} = 1666.66$

$∴$ Original price of the vase =Rs. 1666.66

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After a 20% hike, the cost of Chinese Vase is Rs. 2000. What was the original price of the object?

Let the original price of the vase =Rs.x Hike in price =20% ∴ Price after hike =x×(100+20)100 =120100x=65x ∴65x=2000⇒x=2000×56 ⇒x=50003=166623=1666.66 ∴ Original price of the vase =Rs. 1666.66