Ritish bought 2 Kg less onions in Rs 55 due to an increase in price of onions by 12%. What was the increased price of onions per Kg? Also find the original pace of the onions .
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Step-by-step explanation:
Let the original weight he bought be x kg
Price of one kg of onion = 55 / x
New weight = (x - 2) kg
New price of one kg of onion = 55 / (x-2)
It is given that price increased by 12%
This implies that new price of one kg of onion = 112 / 100 of original price of one kg of onion
55 / (x-2) = 112 /100 × 55/x
=> 55 / (x-2) = 6160 / 100x
=> 55 × 100x = 6160 (x-2)
=> 5500x = 6160x - 12320
=> 5500x - 6160x = -12320
=> 660x = 12320
=> x = 12320 / 660
=> x = 18.66
______________________________
ANSWER =
ORIGINAL PRICE OF ONION = 55 / 18.66
= Rs. 2.94 OR Approx. Rs. 3
______________________________
Answered by
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Answer:
Let the original weight he bought be x kg
Price of one kg of onion = 55 / x
New weight = (x - 2) kg
New price of one kg of onion = 55 / (x-2)
It is given that price increased by 12%
This implies that new price of one kg of onion = 112 / 100 of original price of one kg of onion
55 / (x-2) = 112 /100 × 55/x
=> 55 / (x-2) = 6160 / 100x
=> 55 × 100x = 6160 (x-2)
=> 5500x = 6160x - 12320
=> 5500x - 6160x = -12320
=> 660x = 12320
=> x = 12320 / 660
=> x = 18.66
______________________________
ANSWER =
ORIGINAL PRICE OF ONION = 55 / 18.66
= Rs. 2.94 OR Approx. Rs. 3
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