Question

10. a) A shopkeeper sold a mobile set for Rs 9,600 and made a loss of 5%. For what
price should he sell it to gain 10%?​

Answer 1

Given :

• Sp = 9600

• %loss = 5 %

To find :

For what price should he sell it to gain 10%?

Solution :

CP = SP x 1000/100 - %loss

⤇ 9600 x 1000/100 - 5

⤇ 9600 x 1000/95

⤇ 10105.2632

• CP = 10105.2632

• %gain = 10%

SP = CP x (100 + gain%)/100

⤇ 10105.2632 (100 + 10)/100

⤇ 10105.2632(1.1)

⤇ 11115.7895

Answer 2

Given : A shopkeeper sold a mobile set for Rs 9,600 and made a loss of 5%.

　

To find : For what price should he sell it to gain 10%?

　

☯ Solution : First let's find the cost price of mobile and than calculate it what amount it would be if he sold for a gain of 10%.

　

Finding the cost price :

$:\implies\sf{CP = \dfrac{(SP \times 100)}{100} - L\%}$

• [Loss CP formula].

　

　

$:\implies\sf{CP = \dfrac{(9,600 \times 100)}{100 - 5}}$

　

$:\implies\sf{CP = \dfrac{(9,600 × 100)}{95}}$

　

$:\implies\sf{CP = \dfrac{9,60,000}{95}}$

　

$:\implies\sf{CP = 10,105.2632}$

　

Finding the selling price with the profit of 10% :

$:\implies\sf{SP = {\dfrac{(100 + P\%)}{100}} \times CP}$

• [Profit SP formula].

　　

　

$:\implies\sf{SP = {\dfrac{(100 + 10)}{100}} \times 10,105.2632}$

　

$:\implies\sf{SP = \dfrac{110}{100} \times 10,105.2632}$

　

$:\implies\sf{SP = 1.1 \times 10,105.2632}$

　

$:\implies\sf{11,115.7895}$

　

Therefore, the price he should sell it to gain of 10% would be 11,115.7895.