Question

9. A man sold a table for 2250 and gained one-ninth of its cost price. Find : (i) the cost price of the table (ii) the gain per cent earned by the man.​

Answer 1

Answer:

Gain = 1/9 of C.P

S.P = C.P + Gain

2250 = C.P + 1/9 C.P

2250 = (9 C.P + 1 C.P)/ 9

2250 × 9 = 10 C.P

(2250×9)/10 = C.P

225× 9 = C.P

C.P = 2025

so, Gain = 2500-2025

Gain = 225

Gain % = (225/2025)×100

Gain % = 100/9

Gain % = 11

$11 \times \frac{1}{9}$

Answer 2

❍ Question

A man sold a table for 2250 and gained One-ninth of its cost price.

Find :

(i) the cost price of the table

(ii) the gain per cent earned by the man.

❍ Explanation

Given -:

• Selling price of the table = ₹2250
• He gained One-ninth of it's cost price

To Find -:

• Cost price of the table
• Gain%

Solution -:

i)

Let us assume the cp as 'x'

Then,

Gain = $\frac{x}{9}$

$\large \boxed { \rm \orange{Gain = SP - CP}}$

$\small\rm\bf{ \frac{x}{9} = 2250 - x}$

$➨ \: \small\rm{ \frac{x}{9} + x = 2250 }$

$➨ \: \small\rm{ \frac{x + 9x}{9} = 2250}$

$➨ \: \small\rm{ \frac{10x}{9} = 2250 }$

$➨ \: \small\rm{10x = 2250 \times 9}$

$➨ \: \small\rm{10x =20250 }$

$➨ \: \small\rm{x = \frac{20250}{10} = 2025}$

$\small \boxed{\bf {x = 2025}}$

Cp of the table = ₹2025

ii)

$\large\boxed{ \rm \orange{Gain = Sp - Cp}}$

→ 2250 - 2025

→ 225

Gain = ₹225

$\large \boxed{\rm \orange {Gain\% = \frac{gain}{cp} \times 100 }}$

$\small\bf{ Gain\% = \frac{225}{2025} \times 100 = 11.11\% }$

Gain% = 11.11%