A rise of 25% in price of an item compels a person to buy 1.5 kg of item less for 240 find the increased price as well as the original price per kg of item.
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and pls try to answer without taking x the price.
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Solution :-
Let us assume that, original price of item is Rs.100x / kg .
So,
→ Initial total item he bought for Rs.240 = (240/100x) = (12/5x) kg
now,
→ New price of item = 125% of 100x = (125 * 100x)/100 = Rs. 125x
→ New total item he bought for Rs.240 = (240/125x) = Rs. (48/25x) kg
A/q,
→ (12/5x) - (48/25x) = 1.5 kg
→ (60 - 48)/25x = 1.5 kg
→ 12 = 25x * 1.5
→ 25x = 8
→ x = (8/25)
therefore,
→ Original price of item = 100x = 100 * (8/25) = Rs. 32 / kg .
hence,
→ Increased price of item = 125x = 125 * (8/25) = Rs. 40 / kg .
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