Question

A reduction of 5% in the price of sugar enables a man to buy 1 kg more for 304. Calculate (a) The original rate per kilogram and (b) The reduced rate per kilogram.
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Answer 1

let original price of sugar be p/kg, and

no. of kgs of sugar originally for rs 304 be x

px = 304

new price per kg, p' = (1-5%) p =0.95p

0.05p = 1 kg

304 = (x+1)×p' =(x+1)0.95p

304 = 0.95px +0.95p

0.05 ×304 = 0.95p

p= 5×304/95 = 16

a) original rate = 16/-

b) reduced rate = p' = 0.95p = 15.2/-

Answer 2

Answer:

 Let the original price per kg of sugar be Rs. x

Then the reduced price per kg = Rs.54x 

Quantity of sugar that can be bought for Rs.160 originally Rs.x160

Quantity of sugar that can be bought for Rs.160 with reduced price =Rs.4x/5160=160×4x5

Given 160×4x5=x160+25 ⇒x200−x160=25⇒x40=25⇒x=16

∴ Original price per kg = Rs. 16