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Successive discounts - class-VII

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A shop gives $15%$ discount on the purchase of a T.V. If paid for in cash immediately, a further discount of $12%$ is given. If the marked price is Rs. $15,000$, what is the price of the T.V if cash purchase is made?

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A
Rs. $11,220$
💡 Explanation:

The marked price of T.V. $=Rs.15,000$ 

Price of T.V after $15%$ discount $=Rs.\left(15,000-\dfrac{15}{100}\times 15000\right)$

                                                      $=Rs.\left(15,000-2250\right)$
                                                      $=Rs.12,750$
Price of T.V. again after $12%$ discount $=Rs\left(12,750-\dfrac{12}{100}\times 12750\right)$

                                                               $=Rs.\left(12750-1530\right)$
                                                               $=Rs.11,220$

$\therefore$  The price of the T.V if cash purchase is made is $Rs.11,220.$

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