NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - Expressions into Statements in Ordinary Language
Question 75

Question. 75

A pencil costs Rs p and a pen costs Rs 5p.

Answer:

The cost of pen is 5 times the cost of a pencil.

Detailed Answer with Explanation:

Step 1: Let the cost of a pencil be (p) rupees.

Step 2: The cost of a pen is given as (5p) rupees.

Step 3: Compare the two costs using a ratio:
(displaystyle rac{ ext{Cost of pen}}{ ext{Cost of pencil}} ;=; rac{5p}{p}).

Step 4: Simplify the fraction (for (p > 0)):
(displaystyle rac{5p}{p} ;=; 5).

Conclusion: The pen costs 5 times the pencil.

Quick check (example): If (p = 2) rupees, then pen (= 5 imes 2 = 10) rupees. This matches our conclusion.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 7: Algebra – Expressions into Statements in Ordinary Language | Detailed Answers