Paper 1 · Mathematical Reasoning and Aptitude
The cost of an article reduces by 20%. This lets a person buy 2 kg more for Rs 600. Find the reduced and the original price per kg.
ARs 60 and Rs 80
BRs 60 and Rs 75 ✓ Correct
CRs 75 and Rs 60
DRs 50 and Rs 60
Correct answer: (B) Rs 60 and Rs 75 — The reduced price is Rs 60 and the original is Rs 75, so that is the answer.
Explanation
★The reduced price is Rs 60 and the original is Rs 75, so that is the answer.
★Let the original price be p, so the reduced price is 0.8 times p.
★For Rs 600, the extra quantity bought is 600 by 0.8p minus 600 by p, which equals 2.
★This gives 600 by p times one-fourth equal to 2, so 150 by p is 2 and p is 75.
★So the original price is Rs 75 and the reduced price is 0.8 times 75, which is 60.
★So the reduced and original prices are Rs 60 and Rs 75.
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