The marked price of a machine is Rs 18000. By selling it at a discount of 20%, the loss is 4%. What is the cost price of the machine?

Rs 10000

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Rs 12000

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Rs 14000

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Rs 15000

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None of these

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Solution

The correct option is D
Rs 15000

Given marked price of machine = Rs 18000
$∴ D i s c o u n t = \frac{20}{100} \times 18000 = R s 3600 ∴ S P = 18000 - 3600 = R s 14400 I f l o s s o f 4 %, t h e n C P = \frac{100 \times S P}{100 - r} = \frac{100 \times 14400}{100 - 4} = \frac{100 \times 14400}{96} = R s 15000$

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The marked price of a machine is Rs 18000. By selling it at a discount of 20%, the loss is 4%. What is the cost price of the machine?

The correct option is D Rs 15000 Given marked price of machine = Rs 18000 ∴Discount=20100×18000=Rs 3600∴SP=18000−3600=Rs14400If loss of 4%,thenCP=100×SP100−r=100×14400100−4=100×1440096=Rs 15000