Question

The ratio of cost price and selling price is 12 : 9. Find the cost price if the marked price is ₹260 and allowed discount is 10%.

• A. ₹300
• B. ₹368
• C. ₹312
• D. ₹355

Answer 1

The correct option is C ₹312

M.P = ₹260
Discount = 10%

$\therefore$ S.P = M.P - 10% of M.P

$\Rightarrow$ S.P = 260 - $\frac{10}{100}\times$ 260

$\Rightarrow$ S.P = ₹234


Let, the C.P = ₹ c
then, ratio of C.P to S.P = 12 : 9
$\Rightarrow$ c : 234 = 12 : 9

Product of means = Product of extremes

$\Rightarrow$ 234 $\times$ 12 = c $\times$ 9

$\Rightarrow$ c = $\frac{234\times 12}{9}$

$\Rightarrow$ c = 312

$\therefore$ C.P = ₹312