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A shopkeeper purchased a television for Rs. 12000. He allows a discount of 15% on its marked price and still gains 10%. Find the marked price(approx) of the television.
- ARs. 15380
- BRs. 15530
- CRs. 16370
- DRs. 14865
Answer not set
Discussion 1
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CCommunity
Let ‘Rs. x’ be the marked price of television.
Cost price of television = Rs. 12000
Gain% on television = 10%
∴ Selling price of television = [{(100 + gain%)/100} × C.P.]
⇒ Rs. [{(100 + 10)/100} × 12000] = Rs. [(110/100) × 12000] = Rs. 13200
Now, the discount = 15% of the marked price
⇒ 15% of Rs. x = Rs. {x × (15/100)} = Rs. 3x/20
∴ SP = (Marked Price) – (discount)
⇒ Rs. (x – 3x/20) = Rs. 17x/20
But, the SP = Rs. 13200
∴ 17x/20 = 13200
⇒ x = (13200 × 20/17)
⇒ x = 15530
Hence, the marked price of the television is Rs. 15530.
Cost price of television = Rs. 12000
Gain% on television = 10%
∴ Selling price of television = [{(100 + gain%)/100} × C.P.]
⇒ Rs. [{(100 + 10)/100} × 12000] = Rs. [(110/100) × 12000] = Rs. 13200
Now, the discount = 15% of the marked price
⇒ 15% of Rs. x = Rs. {x × (15/100)} = Rs. 3x/20
∴ SP = (Marked Price) – (discount)
⇒ Rs. (x – 3x/20) = Rs. 17x/20
But, the SP = Rs. 13200
∴ 17x/20 = 13200
⇒ x = (13200 × 20/17)
⇒ x = 15530
Hence, the marked price of the television is Rs. 15530.