The marked price of a laptop is Rs. 12000. In aclearance sale it is so

1.	The marked price of a laptop is Rs. 12000. In aclearance sale it is sold at a discount of 15%, incurringa loss of 4%. What is the cost price of the laptop?(a) Rs. 10200(b) Rs. 10625(c) Rs. 11200(d) Rs. 10275
Answer» $i ) Marked \:price (m.p) = Rs\:12000,\\discount (d) = 15\% ,\\Let \: selling \:price = s.p$ $\boxed { \pink { selling \:price = m.p\Big( \frac{100-d}{100}\Big) }}$ $s.p = 12000 \Big( \frac{100-15}{100}\Big)\\= 12000 \times \frac{85}{100} \\= 120 \times 85 \\= Rs\:10200 \: --(1)$ $ii ) Let \: Cost \: price (c.p) = Rs \:x ,\\Loss(l) = 4\% ,$ $\boxed { \pink { selling \:price = c.p\Big( \frac{100-l}{100}\Big) }}$ $Selling \:price = x\Big( \frac{100- 4}{100}\Big) \\= x\times \frac{96}{100} \:--(2)$ $(2 )= (1)$ $x\times \frac{96}{100} = 10200$ $\implies x = 10200 \times \frac{100}{96} \\= Rs \:10625$ $Cost \:price \: of \:the \: Laptop (c.p) = Rs \:10625$ THEREFORE., $Option \: \pink { (b) } \:is \: correct.$ •••♪