Question

10) By selling a wall clock for 7368, I lose
8%. What should be the selling price to
gain 10%?​

Answer 1

Given :

• If SP = 7368 , loss % = 8%

To find :

SP , if Profit % = 10%

Let :

• CP of wall clock = x
• New SP = y

Formula used :

1. Profit = SP - CP
2. Profit% = Profit × 100 ÷ CP
3. Loss = CP - SP
4. Loss % = Loss × 100 ÷ CP

Solution :

We are given that , when SP = 7368 , loss = 8%,

Therefore, from this data we will find CP of clock

$\sf \implies \: Loss \: \% = \dfrac{CP-SP}{CP}\times \: 100 \\ \\ \sf \implies \: 8 \: = \frac{(x - 7368)}{x} \times 100 \\ \\ \sf \implies \: \: 8x = 100x \: - \:736800 \\ \\ \sf \implies \: 100x \: - 8x \: = 736800 \\ \\ \sf \implies \: 92x \: = 736800 \\ \\ \sf \implies \: x \: = \frac{736800}{92} \\ \\ \sf \implies \: x \: = \: 8008.7$

Now , we know CP of wall clock , and we want to make profit of 10% , therefore we will use this data to find New SP

$\sf \implies \: Profit \%\:=\: \dfrac{SP-CP}{CP}\: \times 100 \\ \\ \sf \implies \: 10 \: = \dfrac{(y - 8008.7)}{8008.7} \times 100 \\ \\ \sf \implies \: \dfrac{10 \times 8008.7}{100} \: = \: y - 8008.7 \\ \\ \sf \implies \: \: 800.87 \: = y \: - 8008.7 \\ \\ \sf \implies \:y \: = 800.87 + 8008.7 \\ \\ \sf \implies \:y \: = 8809.57$

ANSWER :

SP to gain 10% = 8809.57

Answer 2

Answer:

Given :

If SP = 7368 , loss % = 8%

To find :

SP , if Profit % = 10%

Let :

CP of wall clock = x

New SP = y

Formula used :

Profit = SP - CP

Profit% = Profit × 100 ÷ CP

Loss = CP - SP

Loss % = Loss × 100 ÷ CP

Solution :

We are given that , when SP = 7368 , loss = 8%,

Therefore, from this data we will find CP of clock

$\sf \implies \: Loss \: \% = \dfrac{CP-SP}{CP}\times \: 100 \\ \\ \sf \implies \: 8 \: = \frac{(x - 7368)}{x} \times 100 \\ \\ \sf \implies \: \: 8x = 100x \: - \:736800 \\ \\ \sf \implies \: 100x \: - 8x \: = 736800 \\ \\ \sf \implies \: 92x \: = 736800 \\ \\ \sf \implies \: x \: = \frac{736800}{92} \\ \\ \sf \implies \: x \: = \: 8008.7$

Now , we know CP of wall clock , and we want to make profit of 10% , therefore we will use this data to find New SP

$\sf \implies \: Profit \%\:=\: \dfrac{SP-CP}{CP}\: \times 100 \\ \\ \sf \implies \: 10 \: = \dfrac{(y - 8008.7)}{8008.7} \times 100 \\ \\ \sf \implies \: \dfrac{10 \times 8008.7}{100} \: = \: y - 8008.7 \\ \\ \sf \implies \: \: 800.87 \: = y \: - 8008.7 \\ \\ \sf \implies \:y \: = 800.87 + 8008.7 \\ \\ \sf \implies \:y \: = 8809.57$

ANSWER :

SP to gain 10% = 8809.57