Six times the cost price of a notebook is equal to five times the selling price of the notebook - Maths - Algebraic Expressions

Question

Six times the cost price of a notebook is equal to five times
the selling price of the notebook If the selling price is Rs 10
more than the cost price find both the C P and the S P

Lalit Mehra · Accepted Answer

Dear Student!

Let the cost price of the note book be Rs x.

Given, 6 × Cost price of the note book = 5 × Selling price of the note book

∴ 5 × Selling price of the notebook = Rs 6x

⇒ Selling price of the note book = Rs $\frac{6 x}{5}$

Given, Selling price of the notebook = Cost price of the notebook + Rs 10

$∴ Rs \frac{6 x}{5} = Rs x + Rs 10 \Rightarrow \frac{6 x}{5} - x = x + 10 - x (Subtracting x from both sides) \Rightarrow \frac{6 x - 5 x}{5} = 10 \Rightarrow \frac{x}{5} = 10 \Rightarrow \frac{x}{5} \times 5 = 10 \times 5 (Multiplying both sides by 5) \Rightarrow x = 50$

Cost price of the note book = Rs 50

Selling price of the note book $= Rs \frac{6 x}{5} = Rs \frac{6}{5} \times 50 = Rs 6 \times 10 = Rs 60$

Cheers!

5

Six times the cost price of a notebook is equal to five times the selling price of the notebook. If the selling price is Rs.10 more than the cost price find both the C.P and the S.P