Question

12. A cycle dealer offers a discount of 10% and still makes a profit of 26%. What is the actual cost him of a cycle whose marked price is RS.840
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Answer 1

Solution :

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

• Discount% = 10%
• Marked price = Rs.840
• profit % = 26%

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

Let the cost price of a cycle be Rs.r

A/q

We know that formula of the Discount :

$\boxed{\bf{Dis.=\frac{Discount\%}{100} \times Marked\:price}}}}$

$\longrightarrow\rm{Discount=\dfrac{1\cancel{0}}{\cancel{100}} \times 84\cancel{0}}\\\\\\\longrightarrow\rm{\pink{Discount=Rs.84}}$

We know that;

$\boxed{\bf{Selling\:price=Marked\:price-Discount}}}}$

$\longrightarrow\rm{S.P.=Rs.840-Rs.84}\\\\\longrightarrow\rm{\pink{S.P.=Rs.756}}$

Now;

We know that formula of the profit%:

$\boxed{\bf{Profit\%=\frac{S.P.-C.P.}{C.P.} \times 100\%}}}$

$\longrightarrow\rm{26\%=\dfrac{756-r}{r} \times 100\%}\\\\\\\longrightarrow\rm{26r=75600-100r}\\\\\\\longrightarrow\rm{26r+100r=75600}\\\\\\\longrightarrow\rm{126r=75600}\\\\\\\longrightarrow\rm{r=\cancel{\dfrac{75600}{126} }}\\\\\\\longrightarrow\rm{\pink{r=Rs.600}}$

Thus;

The cost price of the cycle to dealer will be Rs.600 .