NCHMCT JEE 2021 Question Paper with solutions for online practice

Question : 86 of 200

Marks: +1, -0

A reduction of

20 \%

in the price of rice enable a buyer to buy

5 {kg}

more for ₹ 1200 . The reduced price per

{kg}

of rice will be

Solution:

Let, initial price of rice

=₹ x

per kg
Now, a reduction of

20 \%

in price,
Reduced price of rice

=x × \;{80}/{100}=₹ \;{4 x}/{5}

per kg
Now, according to the question,

\;{1200}/{{4 x}/{5}}-\;{1200}/{x}=5

⇒ \;\; \;{6000}/{4 x}-\;{1200}/{x}=5

⇒ \;\; \;{1500}/{x}-\;{1200}/{x}=5

⇒ \;\; \;{300}/{x}=5

⇒ \;\; x=\;{300}/{5}=60

⇒ x=₹ 60

∴ \;\text " Reduced price of rice "\;\;=\;{4 x}/{5}=\;{4 × 60}/{5}

\;=₹ 48 \;\text " per "\; {kg}

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