Question

A shopkeeper provides two successive discount of 5% and 50% on selling an article. If the selling price is ₹285, the marked price of the article is ₹
.

Answer 1

$\huge{\underline{\purple{\rm{Solution:}}}}$

$\large{\underline{\red{\rm{Given:}}}}$

• The Selling price=Rs.285
• Two successive Discount
• Discount ¹=5%
• Discount ²=50%

$\large{\underline{\green{\rm{Let:}}}}$

• The mark price of article be X

$\small{\underline{\purple{\rm{As\:per\:the\:question:}}}}$

• Using formula here,

$\small{\boxed{\red{\rm{SP=MP(\dfrac{100-D_1}{100})(\dfrac{100-D_2}{100}):}}}}$

$\sf{\implies 285=X(\dfrac{100-5}{100})(\dfrac{100-50}{100})}$

$\sf{\implies 285=X(\dfrac{95}{100})(\dfrac{50}{100})}$

$\sf{\implies 285=\dfrac{95*50*X}{100*100}}$

$\sf{\implies \cancel{4750}X=\cancel{2850000}}$

$\sf\purple{\implies X=600}$

$\sf\purple{\therefore marked\: price\:of\: article=Rs.600}$

Answer 2

Given :-

• Discount₁ = 5%
• Discount₂ = 50% .
• SP = Rs.285.

To Find :-

• MP = ?

Solution :-

As One Method By Direct Formula is Told Already. Lets Try with Different Method .

Let MP = 10 .

→ 10(MP) ------- 5%(D) ----------- 9.5 (SP)

→ 10(MP) ------- 50%(D) ----------- 5 (SP)

___×______________________×___

→ 100(MP) ------------------ 47.5(SP)

______________________________

Now, as given SP is Rs.285. we can say That,

→ when SP is 47.5 , Our MP is = Rs.100

→ when SP is 1 , Our MP is = (100/47.5)

→ when SP is 285 , Our MP is = (1000*285)/475 = Rs.600 (Ans.)

Hence, Our Required Marked Price will be Rs.600.

______________________

Direct Formula :-

☛ MP = SP * (100 / 100 - D₁%) * ( 100 / 100 - D₂ ).

______________________