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- Standard 13
- Quantitative Aptitude
7.Profit and Loss
hard
A cash payment that will settle a bill for $250$ chairs at $Rs.\,50$ per chair less $20 \%$ and $15 \%$ with a further discount of $5 \%$ on cash payment is (in $Rs.$)
A
$7025$
B
$8075$
C
$8500$
D
None of these
Solution
A single discount equivalent to three given successive discounts of $20 \%, 15 \%$ and $5 \%$ is given by
$=\left(20+15+5-\frac{(20 \times 15+5 \times 15+5 \times 20)}{100}+\frac{20 \times 15 \times 5}{100^{2}}\right) \%$
that is, $(40-4.75+0.15) \%=35.4 \%$
Marked price of $250$ chairs $=250 \times 50=Rs. 12500$.
Cash payment $=12500-12500 \times \frac{35.4}{100}$
$=Rs. 8075$
Standard 13
Quantitative Aptitude
