After decreasing 60% in the actual cost price, the reduced cost price of an…

Concept

When a quantity is decreased by r%, the resulting value equals (100 minus r) percent of the original quantity. To recover the original quantity from a given reduced value, divide the reduced value by the fraction that remains, (100 minus r) divided by 100.

Applying It Here

1. Let the actual cost price of the article be C.

2. The cost price is decreased by 60%, so the reduced cost price equals (100 minus 60) percent, that is 40%, of C.

3. Set up the equation: 40% of C equals ₹996, that is, 0.40 times C equals 996.

4. Solve for C: C equals 996 divided by 0.40, which equals ₹2,490.

Cross-Check

60% of ₹2,490 is ₹1,494. Subtracting this from ₹2,490 gives ₹2,490 minus ₹1,494 equals ₹996, which matches the reduced cost price stated in the question.

Answer

The actual cost price of the article is ₹2,490.