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Mr. Ramesh bought two watches which together cost him Rs.440. He sold one of the watches at a loss of 20% and the other one at a gain of 40%. The selling price of both watches are same.
Quantity I: SP and CP one of the watches sold at a loss of 20%
Quantity II: SP and CP one of the watches sold at a profit of 40%
  • a)
    Quantity I > Quantity II
  • b)
    Quantity I < Quantity II
  • c)
    Quantity I ≥ Quantity II
  • d)
    Quantity I ≤ Quantity II
  • e)
    Quantity I = Quantity II or relation cannot be established
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Mr. Ramesh bought two watches which together cost him Rs.440. He sold ...
80/100 * x = 140/100 * y
x = 7/4y
x + y = 440
7/4 y + y = 440
y = 160 ; x = 280
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Most Upvoted Answer
Mr. Ramesh bought two watches which together cost him Rs.440. He sold ...
To solve this problem, we need to find the cost price (CP) and selling price (SP) for each watch.

Let's assume the cost price of the first watch is x. Since Mr. Ramesh sold this watch at a loss of 20%, the selling price of the first watch is 0.8x.

Now, let's assume the cost price of the second watch is y. Since Mr. Ramesh sold this watch at a gain of 40%, the selling price of the second watch is 1.4y.

We know that the total cost of both watches is Rs. 440. So we can write the following equation:

x + y = 440

We also know that the selling prices of both watches are the same. So we can write the following equation:

0.8x = 1.4y

Now, let's analyze the given quantities:

Quantity I: SP and CP of one of the watches sold at a loss of 20%
In this case, we need to find the selling price and cost price for one of the watches sold at a loss of 20%. This means we need to find the value of x.

Quantity II: SP and CP of one of the watches sold at a profit of 40%
In this case, we need to find the selling price and cost price for one of the watches sold at a profit of 40%. This means we need to find the value of y.

To determine whether Quantity I or Quantity II is greater, we need to solve the equations to find the values of x and y.

From equation 2, we can rewrite it as:

x = 1.75y

Substituting this value of x into equation 1, we get:

1.75y + y = 440
2.75y = 440
y = 440/2.75
y = 160

Now, substituting the value of y into equation 2, we get:

x = 1.75(160)
x = 280

So the cost price and selling price for one of the watches sold at a loss of 20% are:
CP = Rs. 280
SP = 0.8(280) = Rs. 224

Therefore, Quantity I is 224.

Since we have found the values of x and y, we can also find the selling price and cost price for one of the watches sold at a profit of 40%:

CP = Rs. 160
SP = 1.4(160) = Rs. 224

Therefore, Quantity II is also 224.

Hence, the answer is:
a) Quantity I = Quantity II = 224.
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Mr. Ramesh bought two watches which together cost him Rs.440. He sold one of the watches at a loss of 20% and the other one at a gain of 40%. The selling price of both watches are same.Quantity I: SP and CP one of the watches sold at a loss of 20%Quantity II: SP and CP one of the watches sold at a profit of 40%a)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'D'. Can you explain this answer?
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Mr. Ramesh bought two watches which together cost him Rs.440. He sold one of the watches at a loss of 20% and the other one at a gain of 40%. The selling price of both watches are same.Quantity I: SP and CP one of the watches sold at a loss of 20%Quantity II: SP and CP one of the watches sold at a profit of 40%a)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Mr. Ramesh bought two watches which together cost him Rs.440. He sold one of the watches at a loss of 20% and the other one at a gain of 40%. The selling price of both watches are same.Quantity I: SP and CP one of the watches sold at a loss of 20%Quantity II: SP and CP one of the watches sold at a profit of 40%a)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. Ramesh bought two watches which together cost him Rs.440. He sold one of the watches at a loss of 20% and the other one at a gain of 40%. The selling price of both watches are same.Quantity I: SP and CP one of the watches sold at a loss of 20%Quantity II: SP and CP one of the watches sold at a profit of 40%a)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'D'. Can you explain this answer?.
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