Math, asked by kusum4567mehta, 1 month ago

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Answers

Answered by Anonymous
2

Answer:

she got loss of 8%

Step-by-step explanation:

for gas stove

buying price= Rs.4000

loss%=20%

original price= buying price*(100-loss%)/100

=> 4000*(100-20)/100

=> 4000*80/100

=> 3200 Rs.

original price is 3200 for gas stove

for chimney

buying price=4000 Rs

profit=4%

original price= buying price * (100+profit%)/100

=> 4000*104/100

=> 4160 Rs.

loss in gas stove = Rs 800

profit in chimney= Rs 160

the loss is greater than profit

=> total loss= 800-160

=> 640Rs

total buying price=4000+4000

=> 8000Rs

total loss %= loss*100/total buying price

total loss %= 640*100/8000

=> 8%

she had a loss of 8% on total

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Answered by BrainlyTwinklingstar
4

Question

Ritika bought a gas stove and a chimney for ₹4000 each. She made a loss of 20% on gas stove and a profit of 4% on chimney. Find the gain or loss on the whole transaction and its percentage.

Answer

Given :

Cost price of each item : ₹4000

Loss percent of gas stove : 20%

Gain percent of chimney : 4%

To find :

The gain or loss amount and it's percentage.

Solution :

First, we should find the selling prices of both gas stove and the chimney.

Selling price of gas stove :

\sf \dashrightarrow \dfrac{(100 - Loss\%)}{100} \times CP

\sf \dashrightarrow \dfrac{(100 - 20)}{100} \times 4000

\sf \dashrightarrow \dfrac{80}{100} \times 4000

\sf \dashrightarrow \dfrac{4}{5} \times 4000

\sf \dashrightarrow \dfrac{4 \times 4000}{5} = \dfrac{16000}{5}

\sf \dashrightarrow \cancel \dfrac{16000}{5} = 3200

Selling price of chimney :

\sf \dashrightarrow \dfrac{(100 + Gain\%)}{100} \times CP

\sf \dashrightarrow \dfrac{(100 + 4)}{100} \times 4000

\sf \dashrightarrow \dfrac{104}{100} \times 4000

\sf \dashrightarrow \dfrac{26}{25} \times 4000

\sf \dashrightarrow \dfrac{26 \times 4000}{25} = \dfrac{104000}{25}

\sf \dashrightarrow \cancel \dfrac{104000}{25} = 4160

Now, we should find the total cost price and the total selling price.

Total cost price :

\sf \dashrightarrow 4000 + 4000

\dashrightarrow\sf 8000

Total selling price :

\sf \dashrightarrow 3200 + 4160

\dashrightarrow\sf 7360

We can observe that the cost price is greater than the selling price. So,

Loss Amount :

\sf \dashrightarrow 8000 - 7360

\dashrightarrow\sf 640

Now, let's find the loss percentage on the whole transaction.

Loss percentage :

\sf \dashrightarrow \dfrac{Loss \: Amount}{Cost \: price} \times 100

\sf \dashrightarrow \dfrac{640}{8000} \times 100

\sf \dashrightarrow \dfrac{2}{25} \times 100

\sf \dashrightarrow \dfrac{2 \times 100}{25} = \dfrac{200}{25}

\sf \dashrightarrow \cancel \dfrac{200}{25} = 8

Hence, the loss percentage of the whole transaction is 8%.

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