Question 143

The price of. sugar having gone down by 10%, a consumer can buy 5 kg more sugar for 270.The difference between the original and reduced price per kg is :

Solution

let the original price of sugar be y Rs and the original amount purchased be m Kg

Total cost =Rs y x m = Rs ym

Now the price of sugar is decreased by 10% so .

New price = 0.9 x y = 0.9y

New quantity purchased = (m + 5 )kg

New cost = 0.9y x (m+5) = 0.9 ym + 4.5y

As both cost are same so ,

0.9 ym + 4.5y = ym

0.1ym = 4.5y

m = 45kg

It is given that 0.9ym + 4.5y = 270

y = = Rs 6

New cost = 0.9y = Rs 5.4

So difference between new and old cost = 60 paise


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