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Jaadu is an owner of a grocery shop. He sells a packet of chocolate whose marked price is Rs. 50, at a discount of 10% and gives a Lollipop costing Rs. 5 free with each packet of chocolate. Even then he makes a profit of 20%. Find the cost price of each packet of chocolate.

Jaadu is an owner of a grocery shop. He sells a packet of chocolate whose marked price is Rs. 50, at a discount of 10% and gives a Lollipop costing Rs. 5 free with each packet of chocolate. Even then he makes a profit of 20%. Find the cost price of each packet of chocolate. Correct Answer Rs. 33.33

Gives∶

Marked price of a packet of Chocolate = Rs. 50

Discount = 10%

Free lollipop costing Rs. 5

Profit = 20%

Formula Used∶

Cost Price = Selling Price × 100 / (100 + gain%)

Selling Price = Marked price × (100 – discount%) / 100

Calculation∶

M.P of each packet = Rs. 50

After discount of 10%,

Selling Price = Marked price × (100 – discount%) / 100

⇒ 50 × (100 – 10) / 100

⇒ 50 × 90 / 100

⇒ Rs. 45 

S.P. of a packet of chocolate = Rs. 45 – 5= Rs. 40

C.P. of a packet of chocolate = Selling Price × 100 / (100 + gain%)

⇒ 40 × (100 / 100 + 20)

⇒ 40 × 100 / 120

⇒ Rs. 100 / 3

= Rs. 33.33

∴ The cost price of each packet is Rs. 33.33.

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