On an article,discount was given 3 times. Firstly 10% , then 10% again and finally 20% more. The price of an article drops to ₹ 6480. Find the Marked Price(MP).

₹ 12000

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₹ 9000

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₹ 10000

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₹ 8000

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Solution

The correct option is C
₹ 10000

Let the MP be ₹ $x$

After first discount of 10% we get : $x - \frac{10 x}{100}$ = $\frac{90 x}{100}$

After second discount of 10% we get : $\frac{90 x}{100} - (\frac{10}{100} \times \frac{90 x}{100})$ = $\frac{81 x}{100}$

After third discount of 20% we get : $\frac{81 x}{100} - (\frac{20}{100} \times \frac{81 x}{100})$ = $\frac{64.8 x}{100}$

As per problem,

$\frac{64.8 x}{100}$ = ₹ 6480

$\Rightarrow x$ = ₹ 10000

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