Question
The price of sugar has increased by 30%. Sachin has
decided to spend only 17% more than what he initially did on buying sugar. What is the percentage decrease in Sachin's sugar consumption?Solution
Let the initial price of Sachin be Rs. 100 per unit and Sachin's consumption be 10 units. ∴ Initial amount spent = 100 × 10 = Rs. 1,000 New price of sugar = 130% of 100 = Rs. 130 and new total amount spent = 117% of 1000 = Rs. 1,170 ∴ New consumption = 1170/130 = 9 units ∴ Decrease in consumption = 10 - 9 = 1 unit ∴ % decrease = 1/10 × 100 = 10%
A sequence {Sₙ} is defined by:
Condition I: S₁ = 3 and for all n ≥ 2, Sₙ = 2·Sₙ₋₁ + (−1)ⁿ.
Condition II: The second ter...
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