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While selling a watch, a shopkeeper gives a discount of 15%. If he gives a discount of 20% he earns Rs.51 less a profit. What is the original price of the watch ?
  • a)
    Rs. 920
  • b)
    Rs. 985
  • c)
    Rs. 1,125
  • d)
    Rs. 1,020
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
While selling a watch, a shopkeeper gives a discount of 15%. If he giv...
let the marked price of the watch be MP. So the selling price = .85 MP
Profit = .85 MP - CP
If the discount = 20%, selling price = .8 MP
Profit = .8 MP - CP
But (.85MP - CP) - (.8MP - CP) = 51
So, .05 MP = 51
or MP = 1020
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Most Upvoted Answer
While selling a watch, a shopkeeper gives a discount of 15%. If he giv...
To solve this problem, let's assume the original price of the watch is 'x' rupees.

Given that the shopkeeper gives a discount of 15%, which means he sells the watch for 85% of its original price. So, the selling price in this case would be 0.85x rupees.

According to the question, if the shopkeeper gives a discount of 20%, he earns Rs. 51 less as profit. This means that the selling price with a 20% discount would be 51 rupees less than the selling price with a 15% discount.

Let's calculate the selling price with a 20% discount:
Selling price with a 20% discount = (100% - 20%) * x = 0.8x rupees

Now, we know that the selling price with a 20% discount is 51 rupees less than the selling price with a 15% discount. So, we can write the equation:

0.85x - 0.8x = 51

Simplifying the equation, we get:

0.05x = 51

Dividing both sides by 0.05, we find:

x = 51 / 0.05 = 1020

Therefore, the original price of the watch is Rs. 1020.

So, the correct answer is option 'D' Rs. 1,020.
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While selling a watch, a shopkeeper gives a discount of 15%. If he gives a discount of 20% he earns Rs.51 less a profit. What is the original price of the watch ?a)Rs. 920b)Rs. 985c)Rs. 1,125d)Rs. 1,020Correct answer is option 'D'. Can you explain this answer?
Question Description
While selling a watch, a shopkeeper gives a discount of 15%. If he gives a discount of 20% he earns Rs.51 less a profit. What is the original price of the watch ?a)Rs. 920b)Rs. 985c)Rs. 1,125d)Rs. 1,020Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about While selling a watch, a shopkeeper gives a discount of 15%. If he gives a discount of 20% he earns Rs.51 less a profit. What is the original price of the watch ?a)Rs. 920b)Rs. 985c)Rs. 1,125d)Rs. 1,020Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for While selling a watch, a shopkeeper gives a discount of 15%. If he gives a discount of 20% he earns Rs.51 less a profit. What is the original price of the watch ?a)Rs. 920b)Rs. 985c)Rs. 1,125d)Rs. 1,020Correct answer is option 'D'. Can you explain this answer?.
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