A reduction of 10% in the price of a commodity enables a person to buy 25 kg more for ₹225.Find The original price of the commodity per kg??
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Let the original price off be Rs. x/kg.
After reduction the price becomes = x -10% of x = 9x/10 per kg.
Now,
(22500/(9x/10))-22500/x = 25
Or, 22500[10/9x- 1/x] = 25
Or, 25*9x = 22500;
Or, x = (22500/2589) = Rs. 100.
Hence, new price = 90 per kg.
After reduction the price becomes = x -10% of x = 9x/10 per kg.
Now,
(22500/(9x/10))-22500/x = 25
Or, 22500[10/9x- 1/x] = 25
Or, 25*9x = 22500;
Or, x = (22500/2589) = Rs. 100.
Hence, new price = 90 per kg.
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