Question

12) Ganesh sold a car to Sarthak at 15% profit, Sarthak sold car to Ankur at 5% loss for Rs.43,700. Find the price at which Ganesh had purchased the car. गणेशने १५% नफा घेवून एक कार सार्थकला विकली. सार्थकने ५% तोटा सहन करुन ती कार अंकूरला ४३,७०० रु.ला विकली, तर गणेशने ती कार किती रुपयांमध्ये खरेदी केली? A) Rs.40,000 C) Rs.48,000 B) Rs.32,000 D) Rs.46,000
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Answer 1

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Ganesh sold a car to Sarthak at 15% profit, Sarthak sold car to Ankur at 5% loss for Rs.43,700. Find the price at which Ganesh had purchased the car

A) Rs. 40,000

B) Rs. 32,000

C) Rs. 48,000

D) Rs. 46,000

EVALUATION

Let Ganesh had purchased the car at Rs. P

Now it is given that Ganesh sold a car to Sarthak at 15% profit

So Sarthak had purchased the car at

$\displaystyle \sf{ = Rs. \: P \times \frac{115}{100} }$

Again Sarthak sold car to Ankur at 5% loss

So Sarthak sold car to Ankur at

$\displaystyle \sf{ = Rs. \: P \times \frac{115}{100} \times \frac{95}{100} }$

So by the given condition

$\displaystyle \sf{ P \times \frac{115}{100} \times \frac{95}{100} =43700 }$

$\displaystyle \sf{ \implies \: P =43700 \times \frac{100}{115} \times \frac{100}{95} }$

$\displaystyle \sf{ \implies \: P =40000}$

Therefore Ganesh had purchased the car at Rs. 40000

FINAL ANSWER

Hence the correct option is A) Rs. 40,000

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