Question

The marked price of a laptop is Rs. 12000. In a
clearance sale it is sold at a discount of 15%, incurring
a loss of 4%. What is the cost price of the laptop?
(a) Rs. 10200
(b) Rs. 10625
(c) Rs. 11200
(d) Rs. 10275​

Answer 1

$i ) Marked \:price (m.p) = Rs\:12000,\\discount (d) = 15\% ,\\Let \: selling \:price = s.p$

$\boxed { \pink { selling \:price = m.p\Big( \frac{100-d}{100}\Big) }}$

$s.p = 12000 \Big( \frac{100-15}{100}\Big)\\= 12000 \times \frac{85}{100} \\= 120 \times 85 \\= Rs\:10200 \: --(1)$

$ii ) Let \: Cost \: price (c.p) = Rs \:x ,\\Loss(l) = 4\% ,$

$\boxed { \pink { selling \:price = c.p\Big( \frac{100-l}{100}\Big) }}$

$Selling \:price = x\Big( \frac{100- 4}{100}\Big) \\= x\times \frac{96}{100} \:--(2)$

$(2 )= (1)$

$x\times \frac{96}{100} = 10200$

$\implies x = 10200 \times \frac{100}{96} \\= Rs \:10625$

$Cost \:price \: of \:the \: Laptop (c.p) = Rs \:10625$

Therefore.,

$Option \: \pink { (b) } \:is \: correct.$

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