Question 132

Due to decrease of 10% in the price of tea per kg, a consumer buys 250gm of tea more than before for Rs. 270. What is the original price of tea ?

Solution
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Let the original price of tea be a Rs per kg and original weight of tea bought by consumer be b kg

a x b = 270 ( let this equation be 1)

Now due to decrease in price by 10 percent the new prices become 0.9 times the original and as a result consumption increases by 0.25 kg without spending any extra money .

So, 0.9a x (b+0.25) = 270 (let this equation be 2)

From equation 1 and 2

0.9ab + 0.225a = 270

0.225a = 270 - 243

a = 120/kg

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