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A lady bought an air-conditioner for Rs 15,200 and spent Rs 300 and Rs 500 on its transportation and repair respectively. At what price should she sell it to make a gain of 15%?

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Question

A lady bought an air-conditioner for Rs 15,200 and spent Rs 300 and Rs 500 on its transportation and repair respectively. At what price should she sell it to make a gain of 15%?

Sum
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Solution

Given, the cost price of an air-conditioner car = Rs. 15,200

Also, the amount spent for transportation = Rs. 300

And the amount spent for repair = Rs. 500

We deed to find out to make a gain of 15% what should be the selling price.

⇒ Actual cost price of the air conditioner with transportation and repair charges = 15200 + 300 + 500

= Rs. 16000

⇒ Now, we know that gain = `(("Gain"%) xx "Cost price")/100`

⇒ Gain = `(15 xx 16000)/100`

= 15 × 160

= 2400

⇒ Now, we know that Selling Price = Gain + Cost Price

∴ SP = 2400 + 16000 = Rs. 18400

Hence, for gain of 15% she should sell it for Rs. 18400

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Chapter 9: Comparing Quantities - Exercise [Page 298]

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NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 9 Comparing Quantities
Exercise | Q 101. | Page 298

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