Question

A man buy a sofaset on ts 1640 and he wich price marked on than given 20%discount and profit of 15 %

Answer 1

S O L U T I O N :

$\underline{\bf{Given\::}}$

• Cost price of a sofa-set, (C.P) = Rs.1640
• Discount, (D) = 20%
• Profit, (P) = 15%

$\underline{\bf{Explanation\::}}$

Using formula of the marked price a/q (directly);

$\boxed{\bf{Marked\:price\:(M.P) = \bigg[\frac{100+profit\:\%}{100-discount\:\%} \times C.P \bigg]}}$

A/q

$\mapsto\tt{M.P. = \bigg[\dfrac{100+15}{100-20} \times 1640\bigg]}$

$\mapsto\tt{M.P. = \bigg[\dfrac{115}{80} \times 1640\bigg]}$

$\mapsto\tt{M.P. = \bigg[\dfrac{115}{\cancel{80}} \times \cancel{1640}\bigg]}$

$\mapsto\tt{M.P. = Rs.[115 \times 20.5]}$

$\mapsto\bf{M.P. = Rs.2357.5}$

Thus,

The Marked price of a sofa-set will be Rs.2357.5 .