Question

Applied to a bill for Rs. $10,000$ the difference between a discount of $40\%$ and two successive discounts of $36\%$ and $4\%$, expressed in rupees, is

• A. $0$
• B. $1440$
• C. $2560$
• D. $4000$
• E. $416$

Answer 1

The correct option is B $1440$

$40$% of $Rs.10,000$ is $Rs.4,000;36$% of $Rs.10,000$ is $Rs.3,600;4$% of $(Rs.10,000-Rs.3,600)$ is $Rs.256.Rs.3,600+Rs.256=Rs.3,856$;
$\therefore$ the difference is $Rs.4,000-Rs.3,856=Rs.144$; or two successive discounts of $36$% and $4$% are equivalent to one discount of $38.56$%.

∴ Percentage difference = $40$ – $38.56$ = $1.44$

Difference between discount = $1.44$ of $100000$

=$\frac{1.44\times 10000}{100}=1440Rs$