मराठी

To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360 as ______. - Mathematics

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प्रश्न

To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360 as ______.

पर्याय

  • Rs 500

  • Rs 450

  • Rs 460

  • Rs 486

MCQ
रिकाम्या जागा भरा
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उत्तर

To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360 as Rs 500.

Explanation:

Let the marked price of the article be Rs. x.

Cost price of the article = Rs. 360

According to the question,

`x - x xx 10/100 - (25 xx 360)/100 = 360`

⇒ `x - x/10 - 90 = 360`  ...`[(∵ "Discount is always calculated on marked price and"), ("profit is always calculated on cost price")]`

⇒ `(9x)/10 - 90 = 360`

⇒ `(9x)/10 = 360 + 90`

⇒ `x = (450 xx 10)/9`

⇒ `(9x)/10 = 450`

⇒ x = Rs 500

So, the marked price is Rs 500.

Hence, Rs 500

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Comparing Quantities - Exercise [पृष्ठ २८८]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
पाठ 9 Comparing Quantities
Exercise | Q 6. | पृष्ठ २८८

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