Question 18 of 49intermediate🔧 ApplyNumerical2 marks

What amount will be left on the 15th day? How many days will it take for the entire amount to be spent?

Correct Answer

(i) ₹25

(ii) 20 days

Exercise: Think and Reflect | Q: 1 | (Page 8)
For More Understanding

Explanation

The context provides the linear expression for the amount left on the nth day as ₹(100 - 5n). To find the amount left on the 15th day, we substitute n = 15 into the expression. To find when the entire amount is spent, we set the expression to zero and solve for n, representing the number of days.

Solution Steps

  1. Step 1: Identify the formula for the amount left on the nth day: Amount = ₹(100 - 5n)

  2. Step 2: Calculate the amount on the 15th day by substituting n = 15: Amount = 100 - 5(15) = 100 - 75 = ₹25

  3. Step 3: Set the amount left to 0 to find when the entire amount is spent: 100 - 5n = 0

  4. Step 4: Solve for n: 5n = 100, which gives n = 20 days

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