Question

After allowing two successive discounts of $15$% and $5$%, a fan sold of 2907. What is the marked price of the fan?

• A. Rs $3060$
• B. Rs $3000$
• C. Rs $3600$
• D. Rs $600$

Answer 1

The correct option is C Rs $3600$

In a given problem

discount $d_1=15\%$ and $d_2=5\%$

Let marked price be M.P and Selling Price be S.P

The formula will be

$M.P\left(1-\frac{d1}{100}\right)\left(1-\frac{d2}{100}\right)=S.P$

implies that,

$M.P=\frac{2907}{\left(1-\frac{15}{100}\right)\left(1-\frac{5}{100}\right)}$

$M.P=\frac{2907}{\frac{17}{20}\times \frac{19}{20}}$

$M.P=\frac{2097\times 20\times 20}{17\times 19}$

$M.P=9\times 20\times 20=3600$

Therefore the marked price is $Rs3600$