Q. A bicycle, marked at 2000 Rs, is sold with two successive discounts of 20% and 10%. An additional discount of 5% is offered for cash payment, then what would be the selling price at cash payment :
Answer: 1368 Rs.
Notes: Single equivalent discount for two successive discounts of 20% and 10%
$latex = \left ( 20+10-\frac{20\times 10}{100} \right )\% = 28\%&s=1$
Now single discount for 28% and 5%
$latex = \left ( 28+5-\frac{28\times 5}{100} \right )\% = \left ( 33-1.4 \right )\% = 31.6\%&s=1$
∴ Required SP at cash payment = (100 - 31.6)% of 2000 Rs.
$latex = \frac{2000\times 68.4}{100} = 1368\ Rs.&s=1$
Hence option [A] is correct answer
