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A shopkeeper gives 20% discount on MRP. Joginder buys a suitcase from the shop, at an additional discount of 20% on the reduced price. If the MRP of t
Question

A shopkeeper gives 20% discount on MRP. Joginder buys a suitcase from the shop, at an additional discount of 20% on the reduced price. If the MRP of the suitcase is ₹1,200, then find the purchasing price paid by Joginder.

A.

₹600

B.

₹864

C.

₹768

D.

₹800

Correct option is C

Given:

MRP of the suitcase = ₹1200

First discount = 20%

Second discount = 20% on the reduced price

Formula Used:

New Price = P ×(1d100)\times \left(1 - \frac{d}{100} \right)

Solution:

Apply the first 20% discount

Reduced Price = 1200 ×(120100)\times \left(1 - \frac{20}{100} \right)

= 1200 ×\times​ 0.8 = 960

Apply the second 20% discount on ₹960

Final Price = 960 ×(120100)\times \left(1 - \frac{20}{100} \right)

= 960 × 0.8 = 768

768\boxed{₹768} 

Alternate Method: 

=A+B+A×B100 =2020+20×20100 =40+4=36= A + B +\frac{A\times B}{100} \\ \ \\ =-20-20 +\frac{-20\times -20}{100}\\ \ \\= -40 + 4\\ =-36

=1200×(136100) =1200×(64100) =12×64=1200\times \left(1 - \frac{36}{100} \right) \\ \ \\=1200\times\left(\frac{64}{100}\right)\\ \ \\=12 \times64 

= 768




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