The cost price of 20 pens is Rs. 400. If 12 pens are sold at 20% profit and the rest of the pens are sold at 25% profit, then find the overall selling

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The cost price of 20 pens is Rs. 400. If 12 pens are sold at 20% profit and the rest of the pens are sold at 25% profit, then find the overall selling price of 20 pens.
1. Rs. 408
2. Rs. 448
3. Rs. 488
4. Rs. 548
5.

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Correct Answer - Option 3 : Rs. 488

Given:

CP of 20 pens = Rs. 400

12 pens sold = 20% profit

8 pens sold = 25% profit

Formula Used:

S.P = C.P × {(100 + profit %)/100}

Where,

S.P = Selling price

C.P = Cost price

Calculation:

According to the question, we have

C.P of 20 pens = Rs. 400

⇒ C.P of 1 pens = Rs. 20

⇒ C.P of 12 = 20 × 12

⇒ 240

and C.P of 8 pens = 20 × 8

⇒ 160

Now,

SP of 12 pens = 240 × (120/100)

⇒ 288

S.P of 8 pens = 160 × (125/100)

⇒ 200

The total S.P = 288 + 200

⇒ 488

∴ The overall selling price of 20 pens is Rs. 488.