Question

A TV set was sold for Rs.14,400 after giving successive discounts of 10% and 20% respectively. What was its market price?

Answer 1

Btw which shop offers this kond of discount?

Answer 2

$Selling \:Price \: of \: a \: T.V set\\ (s.p) = Rs \:14400$

$Successive \: discounts \: d_{1} = 10\% \\and \: d_{2} =20\%$

$Let \: marked \: price = m.p$

$\pink { s.p = m.p\Big(\frac{ 100- d_{1}}{100} \Big) \Big( \frac{100- d_{2}}{100} \Big) }$

$\implies 14400 = m.p\Big(\frac{ 100- 10}{100} \Big) \Big( \frac{100- 20}{100} \Big)$

$\implies 14400 = m.p\Big(\frac{ 9}{10} \Big) \Big( \frac{8}{10} \Big)$

$\implies 14400 \times \frac{10}{9} \times \frac{10}{8} =m.p$

$\implies m.p = Rs \:20000$

Therefore.,

$\red { Market \:price \:of \: the \:TV }\\ \green { =Rs \:20000 }$

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