Question

A discount of 20% is allowed on a music system, still, the shopkeeper earns a profit of 10%. What should be the marked price if the cost price is ₹900?

• A. ₹1,327.50
• B. ₹1,372.50
• C. ₹1,237.50
• D. ₹1,273.50

Answer 1

The correct option is C ₹1,237.50

Cost price = ₹900
Profit made = 10%

S.P = C.P + profit
$\Rightarrow \text{S.P}=900+\frac{10}{100}\times 900$

$\Rightarrow$ S.P = 900 + 90 = ₹990

Also, a discount of 20% is allowed on the marked price
let, marked price = $x$

$\text{So, S.P}=x-\text{20\% of}x$
$\Rightarrow \text{S.P}=x-\frac{1}{5}x$

$\text{Hence,}990=x-\frac{1}{5}x$

$\Rightarrow 990=\frac{4}{5}x$

$\Rightarrow x=990\times \frac{5}{4}$

$\Rightarrow x=₹1,237.50$