Question

The difference between selling an article at 6% profit and at 9% profit is Rs. 9. Find the cost price of the article and also the two selling prices.

• A. $Rs.120;Rs.318;Rs.180$
  
• B. $Rs.180;Rs.318;Rs.210$
  
• C. $Rs.300;Rs.318;Rs.327$
• D. $Rs.520;Rs.318;Rs.439$
  

Answer 1

Answer: (C)

$Rs.300;Rs.318;Rs.327$

For the first situation,
Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=6$
$=>S.P.-C.P.=0.06C.P.$
$=>S.P.=1.06C.P$ --- (1)

For the second situation, Selling price $=$ Selling price of 1st situation $)Rs9$
And Cost price is same

So, Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100+9$
$=>\frac{S.P.+9-C.P.}{C.P.}\times 100=9$
$=>S.P.+9-C.P.=0.09C.P.$
$=>S.P.=1.09C.P-9$ --- (2)

From, equations 1, 2
$1.06C.P.=1.09C.P-9$
$=>0.03C.P.=9$
$C.P.=Rs300$

Thus, cost price of the article $=Rs300$
Selling price of 1st article $1.06C.P=1.06\times 300=Rs318$
Selling price of 2nd article $Rs318+Rs9=Rs327$