Marked price of a piano was Rs., 15,000 . At time of sale, there were successive discounts of 20 % 1

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7.Profit and Loss

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The marked price of a piano was $Rs.\, 15,000$. At the time of sale, there were successive discounts of $20 \%$ $10 \%$ and $10 \%$ on it. The sale price was (in $Rs.$)

A

$9720$

B

$9750$

C

$9760$

D

$9780$

Solution

single equivalent discount for $20 \%$ and $10 \%$

$=\left(20+10-\frac{20 \times 10}{100}\right)=28 \%$

single equivalent discount for $28 \%$ and $10 \%$

$=\left(28+10-\frac{28 \times 10}{100}\right)=35.2 \%$

$\therefore$ S.P. of the piano $=\frac{15000 \times(100-35.2)}{100}=Rs. 9720$

Standard 13

Quantitative Aptitude

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