Question

Plzzzz help me....... ​

Answer 1

Given :-

• Selling price of radio at profit of 10% is Rs.990

To Find :-

• Gain or loss% when the selling price of the radio is Rs.890

Solution :-

• Profit% of an article is given by ,

$\\ \star \: {\boxed{\sf{\purple{profit\% = \frac{(SP - CP) \times 100}{CP} }}}}$

We have ,

• Profit% = 10%
• Selling price (SP) = Rs.990
• Cost price (CP) = ?

Substituting the values we have ,

$\\ : \implies \sf \: 10 = \frac{(990 -CP) \times 100 }{CP}$

$\\ : \implies \sf \: 10CP = (990 - CP) \times 100$

$\\ : \implies \sf \: 10CP = 99000 - 100CP$

$\\ : \implies \sf \: 10CP + 100CP = 99000$

$\\ : \implies \sf \: 110CP = 99000$

$\\ : \implies \sf \: CP = \frac{99000}{110}$

$\\ : \implies{\boxed{\red{\sf{ \:CP = Rs.900 }}}}$

• Since the change in Cost price is not mentioned . The Cost price will remain constant i.e , Rs.900

• Selling price = Rs.890 [Given]

Here (SP) < (CP)

• So , There must be a loss.

• Loss% of an article is given by ,

$\\ \star \: {\boxed{\sf{\purple{loss\% = \frac{(CP - SP ) \times 100}{CP} }}}}$

Substituting the values ,

$\\ : \implies \sf \: loss\% = \frac{(900 - 890) \times 100}{900}$

$\\ : \implies \sf \: loss\% = \frac{10 \times 100}{900}$

$\\ : \implies{\boxed{\pink{\sf{loss\% \approx \: 1\% }}}} \: \bigstar$

•Therefore , The loss% is 1% . Hence , Option(D) is the required answer.

Answer 2

Answer:

Given :-

Selling price of radio at profit of 10% is Rs.990

To Find :-

Gain or loss% when the selling price of the radio is Rs.890

Solution :-

Profit% of an article is given by ,

$\\ \star \: {\boxed{\sf{\purple{profit\% = \frac{(SP - CP) \times 100}{CP} }}}}$

We have ,

Profit% = 10%

Selling price (SP) = Rs.990

Cost price (CP) = ?

Substituting the values we have ,

$\\ : \implies \sf \: 10 = \frac{(990 -CP) \times 100 }{CP}$

$\\ : \implies \sf \: 10CP = (990 - CP) \times 100$

$\\ : \implies \sf \: 10CP = 99000 - 100CP$

$\\ : \implies \sf \: 10CP + 100CP = 99000$

$\\ : \implies \sf \: 110CP = 99000$

$\\ : \implies \sf \: CP = \frac{99000}{110}$

$\\ : \implies{\boxed{\red{\sf{ \:CP = Rs.900 }}}}$

Since the change in Cost price is not mentioned . The Cost price will remain constant i.e , Rs.900

Selling price = Rs.890 [Given]

Here (SP) < (CP)

So , There must be a loss.

Loss% of an article is given by ,

$\\ \star \: {\boxed{\sf{\purple{loss\% = \frac{(CP - SP ) \times 100}{CP} }}}}$

Substituting the values ,

$\\ : \implies \sf \: loss\% = \frac{(900 - 890) \times 100}{900}$

$\\ : \implies \sf \: loss\% = \frac{10 \times 100}{900}$

$\\ : \implies{\boxed{\pink{\sf{loss\% \approx \: 1\% }}}} \: \bigstar$

•Therefore , The loss% is 1% . Hence , Option(D) is the required answer.