By a reduction of ₹1 per kg in the price of sugar, Mohan can buy one kg of sugar for ₹56. Find the original price of sugar
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Answer:57
Step-by-step explanation:the reduction was ₹1 per kg for the actual price we have to add one for the price which he bought for.so 56+1=57
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Sol: Let the price of the sugar per kg = xWeight of sugar bought for Rs 56 = 56 xkg Reduced price of the sugar = (x - 1)Weight of the sugar bought for Rs 56 = 56(x - 1) kg ⇒ 56 (x - 1) - 56 x = 1 ⇒ 56 [1 (x - 1) - 1 x] = 1 ⇒ 56 [x-x+1 (x2-x) ] = 1 ⇒ x2 - x - 56 = 0 ⇒ (x - 8)(x + 7) = 0 ⇒ x = 8 or -7The price of an object cannot be negative.So, the original price of the sugar per kg = Rs 8
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