Question

(c) Cp, when Sp = Rs 900 and loss = 10% ​

Answer 1

Answer:

Given :-

• Sp = Rs 900 and loss = 10%.

To Find :-

• What is the cost price.

Formula Used :-

$\clubsuit$ Cost Price Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{CP =\: \dfrac{100}{100 - Loss\%} \times SP}}}\: \: \: \bigstar$

where,

• CP = Cost Price
• SP = Selling Price

Solution :-

Given :

• SP = Rs 900
• Loss = 10%

According to the question by using the formula we get,

$\implies \bf CP =\: \dfrac{100}{100 - Loss\%} \times SP$

$\implies \sf CP =\: \dfrac{100}{100 - 10\%} \times 900$

$\implies \sf CP =\: \dfrac{100}{100 - 10} \times 900$

$\implies \sf CP =\: \dfrac{100}{90} \times 900$

$\implies \sf CP =\: \dfrac{100 \times 900}{90}$

$\implies \sf CP =\: \dfrac{9000\cancel{0}}{9\cancel{0}}$

$\implies \sf CP =\: \dfrac{\cancel{9000}}{\cancel{9}}$

$\implies \sf CP =\: \dfrac{1000}{1}$

$\implies \sf\bold{\red{CP =\: Rs\: 1000}}$

$\therefore$ The cost price is Rs 1000 .