If the price of gold increases by 30%, find by how much the quantity of ornaments must be reduced so that the expenditure may remain the same as before?
Explanation:
Let the original price of gold/unit is p Rs./unit
Let q be the quantity purchased in units
Let e be the expenditure incurred
Thus, e = p × q
When price increases by 30% i.e., 1.3p
Then new quantity purchased q’ units be such that,
1.3pq’ = p × q
q' = q/1.3 ≈ 77% of q.
∴ reduction in q must be 23% = 23113%
Hence, option (b).
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