Q. As a result of a 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs 1,200. What was the original price of rice per kg?

₹ 30

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₹ 40

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₹ 50

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₹ 60

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Solution

The correct option is B ₹ 40
$L e t t h e o r i g i n a l p r i c e o f R i c e / k g = ₹ R, a n d t h e o r i g i n a l w e i g h t o f r i c e p u r c h a s e d = W k g s .$

$S o, i n i t i a l l y R \times W = 1200 . . . . . E q n (i)$

$D u e t o 25 % h i k e i n p r i c e, n e w p r i c e o f r i c e / k g = ₹ 1.25 R = (5 / 4) R, a n d n e w w e i g h t = (W - 6) k g$

$N o w, (5 / 4) R \times (W - 6) = 1200, \to R W - 6 R = 1200 \times 4 / 5 = 960$
$\to f r o m e q n . (i), 1200 - 6 R = 960 o r 6 R = 1200 - 960 = 240.$
$\to R = 240 / 6 = ₹ 40 p e r k g .$

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