Question

Bella bought a cot for ₹25000 and a sofa for ₹32000. If she sold the cot at a loss of 10% and the sofa at a profit of 10%, which of the following is the net profit or loss?

Answer 1

Answer:

• Net profit of Bella is ₹700.

Step-by-step explanation:

Given that:

• Bella bought a cot for ₹25000 and a sofa for ₹32000.
• She sold the cot at a loss of 10% and the sofa at a profit of 10%.

To Find:

• Net profit or loss.

Solution:

Finding SP of the cot:

As we know that:

$\sf{\circ\;SP=\dfrac{(100-loss\%)}{100}\times CP}$

Substituting the values,

$\sf{\longmapsto\dfrac{(100-10)}{100}\times 25000}$

$\sf{\longmapsto\dfrac{90}{100}\times 25000}$

Cutting off the zeros,

$\sf{\longmapsto\dfrac{90}{1\!\!\!\not{0}\!\!\!\not{0}}\times 250\!\!\!\not{0}\!\!\!\not{0}}$

$\sf{\longmapsto90\times 250}$

Multiplying the numbers,

$\sf{\longmapsto22500}$

Hence, Selling Price of the cot is ₹22500.

Finding SP of the sofa:

As we know that:

$\sf{\circ\;SP=\dfrac{(100+profit\%)}{100}\times CP}$

Substituting the values,

$\sf{\longmapsto\dfrac{(100+10)}{100}\times 32000}$

$\sf{\longmapsto\dfrac{110}{100}\times 32000}$

Cutting off the zeros,

$\sf{\longmapsto\dfrac{110}{1\!\!\!\not{0}\!\!\!\not{0}}\times 320\!\!\!\not{0}\!\!\!\not{0}}$

$\sf{\longmapsto110\times 320}$

Multiplying the numbers,

$\sf{\longmapsto35200}$

Hence, Selling Price of the sofa is ₹35200.

Now,

• Total CP = ₹(25000 + 32000) = ₹57000
• Total SP = ₹(22500 + 35200) = ₹57700

As,

• SP > CP

Therefore,

• It's a profit.

Finding total profit:

As we know that:

• Profit = SP - CP

Substituting the values,

Profit = SP - CP

= ₹(57700 - 57000)

= ₹700

Hence, total profit is ₹700.

Answer 2

Answer:

Net profit of Bella is ₹700.

Step-by-step explanation:

Given that:

Bella bought a cot for ₹25000 and a sofa for ₹32000.

She sold the cot at a loss of 10% and the sofa at a profit of 10%.

To Find:

Net profit or loss.

Solution:

Finding SP of the cot:

As we know that:

\sf{\circ\;SP=\dfrac{(100-loss\%)}{100}\times CP}∘SP=

100

(100−loss%)

×CP

Substituting the values,

\sf{\longmapsto\dfrac{(100-10)}{100}\times 25000}⟼

100

(100−10)

×25000

\sf{\longmapsto\dfrac{90}{100}\times 25000}⟼

100

90

×25000

Cutting off the zeros,

\sf{\longmapsto\dfrac{90}{1\!\!\!\not{0}\!\!\!\not{0}}\times 250\!\!\!\not{0}\!\!\!\not{0}}⟼

1



0



0

90

×250



0



0

\sf{\longmapsto90\times 250}⟼90×250

Multiplying the numbers,

\sf{\longmapsto22500}⟼22500

Hence, Selling Price of the cot is ₹22500.

Finding SP of the sofa:

As we know that:

\sf{\circ\;SP=\dfrac{(100+profit\%)}{100}\times CP}∘SP=

100

(100+profit%)

×CP

Substituting the values,

\sf{\longmapsto\dfrac{(100+10)}{100}\times 32000}⟼

100

(100+10)

×32000

\sf{\longmapsto\dfrac{110}{100}\times 32000}⟼

100

110

×32000

Cutting off the zeros,

\sf{\longmapsto\dfrac{110}{1\!\!\!\not{0}\!\!\!\not{0}}\times 320\!\!\!\not{0}\!\!\!\not{0}}⟼

1



0



0

110

×320



0



0

\sf{\longmapsto110\times 320}⟼110×320

Multiplying the numbers,

\sf{\longmapsto35200}⟼35200

Hence, Selling Price of the sofa is ₹35200.

Now,

Total CP = ₹(25000 + 32000) = ₹57000

Total SP = ₹(22500 + 35200) = ₹57700

As,

SP > CP

Therefore,

It's a profit.

Finding total profit:

As we know that:

Profit = SP - CP

Substituting the values,

Profit = SP - CP

= ₹(57700 - 57000)

= ₹700

Hence, total profit is 700

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hope it will help you