Question

In one shop, an article is marked 75% above the cost price but the purchaser is allowed a discount of 20% on the marked price. In another shop, a similar article is sold for Rs.58 at a gain of 45%. What did the purchased pay for this article in the first shop?

• A. $Rs.69$
• B. $Rs.56$
• C. $Rs.62$
• D. $Rs.65$

Answer 1

The correct option is B $Rs.56$

Let Marked price be $M.P$ , Cost Price be $C.P$ , Selling Price be $S.P$, Profit percent be $P$ and discount percent be $d$.

Given,

In Shop 1

$M.P=C.P+\frac{75}{100}\times C.P$

$M.P=\frac{175\times C.P}{100}$

$d=20\%$

In Shop 2

$SellingPrice=Rs58$ and $gain=45\%$

$S.P=(1+\frac{P}{100})\times C.P$

$58=(1+\frac{45}{100})\times C.P$

$C.P=40$

Substituting C.P in shop 1

$M.P=\frac{175}{100}\times 40$

$M.P=70$

$M.P\times (1-\frac{d}{100})=S.P$

$S.P=70\times (1-\frac{20}{100})$

$S.P=56$