Question

A shopkeeper bought an almirah and a sofa set for Rs.10,000 each. He sold the almirah at a loss of 5% and a sofa set for a profit of 8%. Find gain or loss percent in the whole transaction.
PLS ANSWER

Answer 1

Step-by-step explanation:

Given:-

• A shopkeeper bought an almirah and a sofa set for Rs.10,000 each.

• He sold the almirah at a loss of 5% and a sofa set for a profit of 8%.

To Find:-

• The gain or loss percent in the whole transaction.

Solution:-

For the almirah:-

Cost price of the almirah = Rs.10000

Loss% = 5%

$\sf SP\: of \: the \: almirah = \dfrac{100 - Loss\%}{100} \times CP$

$\sf = \dfrac{100 - 5}{100} \times 10000$

$\sf = \dfrac{95}{100} \times 10000$

$\sf = 95 \times 100$

$\sf = 9500$

$\sf \therefore \underline{SP \: of \: the \: almirah = Rs.9500}$

For the sofa:-

Cost price of the sofa = Rs.10000

Profit % = 8%

$\sf SP\: of \: the \: sofa = \dfrac{100+ Profit\%}{100} \times CP$

$\sf = \dfrac{100 + 8}{100} \times 10000$

$\sf = \dfrac{108}{100} \times 10000$

$\sf = 108\times 100$

$\sf = 10800$

$\sf \therefore \underline{SP \: of \: the \: sofa = Rs.10800}$

Total CP of both = 10000 + 10000 = Rs.20000

Total SP of both = 9500 + 10800 = Rs.20300

Profit = SP - CP

= 20300 - 20000

= 300

$\sf Profit\% = \dfrac{Profit}{CP}\times 100$

$\sf = \dfrac{300}{20000}\times 100$

$\sf = 1.5$

$\underline{\boxed{\sf \therefore Profit\% \: on \: whole \: transaction = 1.5\%}}$

Answer 2

Step-by-step explanation:

Step-by-step explanation:

Given:-

A shopkeeper bought an almirah and a sofa set for Rs.10,000 each.

He sold the almirah at a loss of 5% and a sofa set for a profit of 8%.

To Find:-

The gain or loss percent in the whole transaction.

Solution:-

For the almirah:-

Cost price of the almirah = Rs.10000

Loss% = 5%

\sf SP\: of \: the \: almirah = \dfrac{100 - Loss\%}{100} \times CPSPofthealmirah=

100

100−Loss%

×CP

\sf = \dfrac{100 - 5}{100} \times 10000=

100

100−5

×10000

\sf = \dfrac{95}{100} \times 10000=

100

95

×10000

\sf = 95 \times 100=95×100

\sf = 9500=9500

\sf \therefore \underline{SP \: of \: the \: almirah = Rs.9500}∴

SPofthealmirah=Rs.9500

For the sofa:-

Cost price of the sofa = Rs.10000

Profit % = 8%

\sf SP\: of \: the \: sofa = \dfrac{100+ Profit\%}{100} \times CPSPofthesofa=

100

100+Profit%

×CP

\sf = \dfrac{100 + 8}{100} \times 10000=

100

100+8

×10000

\sf = \dfrac{108}{100} \times 10000=

100

108

×10000

\sf = 108\times 100=108×100

\sf = 10800=10800

\sf \therefore \underline{SP \: of \: the \: sofa = Rs.10800}∴

SPofthesofa=Rs.10800

Total CP of both = 10000 + 10000 = Rs.20000

Total SP of both = 9500 + 10800 = Rs.20300

Profit = SP - CP

= 20300 - 20000

= 300

\sf Profit\% = \dfrac{Profit}{CP}\times 100Profit%=

CP

Profit

×100

\sf = \dfrac{300}{20000}\times 100=

20000

300

×100

\sf = 1.5=1.5

\underline{\boxed{\sf \therefore Profit\% \: on \: whole \: transaction = 1.5\%}}

∴Profit%onwholetransaction=1.5%