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Shahzeb Akhtar

· started a discussion

· 1 Months ago

Elaboration (Question: 191128.0 )

Can you plz elaborate ?

Question:
If the price of rice is reduced by 20%, one can buy 2 kg more for  Rs. 100. The reduced price of rice per kg is –
Options:
A) ' 5
B) ' 10
C) ' 40 
D) ' 50
Solution:
Ans: (b)

let original price of rice = 2x/kg

after deduction of 20% in the price=Rs. 0.8x/kg

\(\cfrac{100}{0.8x}-\cfrac{100}{x}=2\)

\(\cfrac{100-80}{0.8x}=2\)

x=\(12\cfrac{1}{2}\)

0.8x=10

New price =10/kg


Second Method


Knowledge Expert

· commented

· 1 Months ago

It is based on inverse proportion or product constancy concept. Reduction in price 20% amount of rice will increase 25%.
It means,
25% = 2 Kg. So,
Initially, total rice = 2*4 = 8Kg. Thus,
Original price of the sugar was,
100/8 = Rs. 12.5 per kg.
and Reduce price =100/10= Rs. 10 per kg
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