4. A rise of 25% in the price of an item compels a person to buy 1 kg of the item less for 240. Find increased price as well as the original price per kg of the item
PLEASE SOLVE IT
ANS IS 40 AND 32
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Given the price is raised by 25%.
Let the original price be x.
Let the actual weight that can be bought with 240 be w.
Then w*x=240. —eq1
Then current price is 5x/4.
He bought 3/2kg less than actual weight that can be obtained with 240.
so (w-(3/2))*(5x/4)=240.
=>(w-(3/2))*(5x)=960.
=>(w-(3/2))*x=192.
=>w*x-3x/2=192.
=>240–3x/2=192. (eq1)
=>3x/2=240–192=48.
=>x=16*2.
=>x=32.
Thus the original price is 32 pet kg.
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