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A man bought a watch at 25% discount on the original price. He got ₹40 more than the original price by selling it at 140% of the price at which he bought. The price of buying the watch was: (SSC Sub. Ins. 2015)
- a)₹ 900
- b)₹ 600
- c)₹ 800
- d)₹ 700
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A man bought a watch at 25% discount on the original price. He got 40 ...
Understanding the Problem
A man bought a watch at a 25% discount and sold it at a profit. We need to determine the price he paid for the watch.
Let’s Define Variables
- Let the original price of the watch be \( P \).
- The buying price after a 25% discount is \( 0.75P \).
Calculating Selling Price
- He sells the watch for 140% of the buying price:
\[
\text{Selling Price} = 1.4 \times (0.75P) = 1.05P
\]
Setting Up the Equation
- According to the problem, he sold the watch for 40 more than the original price:
\[
1.05P = P + 40
\]
Simplifying the Equation
- Subtract \( P \) from both sides:
\[
1.05P - P = 40
\]
\[
0.05P = 40
\]
Finding the Original Price
- Now, solve for \( P \):
\[
P = \frac{40}{0.05} = 800
\]
Calculating the Buying Price
- The buying price is:
\[
\text{Buying Price} = 0.75P = 0.75 \times 800 = 600
\]
Conclusion
- Thus, the price of buying the watch was **600**.
The correct answer is option 'B'.
A man bought a watch at a 25% discount and sold it at a profit. We need to determine the price he paid for the watch.
Let’s Define Variables
- Let the original price of the watch be \( P \).
- The buying price after a 25% discount is \( 0.75P \).
Calculating Selling Price
- He sells the watch for 140% of the buying price:
\[
\text{Selling Price} = 1.4 \times (0.75P) = 1.05P
\]
Setting Up the Equation
- According to the problem, he sold the watch for 40 more than the original price:
\[
1.05P = P + 40
\]
Simplifying the Equation
- Subtract \( P \) from both sides:
\[
1.05P - P = 40
\]
\[
0.05P = 40
\]
Finding the Original Price
- Now, solve for \( P \):
\[
P = \frac{40}{0.05} = 800
\]
Calculating the Buying Price
- The buying price is:
\[
\text{Buying Price} = 0.75P = 0.75 \times 800 = 600
\]
Conclusion
- Thus, the price of buying the watch was **600**.
The correct answer is option 'B'.
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Community Answer
A man bought a watch at 25% discount on the original price. He got 40 ...
CP = 0.75 × MP
SP = MP + 40
1.4 CP = M.P + 40
1.4 (0.75) MP = M.P + 40
1.05 MP = M.P. + 40
(1.05 – 1) MP = 40
M.P. = 40/0.05 = ₹800
∴ CP = 0.75 M.P. = 0.75 × 800 = ₹ 600
SP = MP + 40
1.4 CP = M.P + 40
1.4 (0.75) MP = M.P + 40
1.05 MP = M.P. + 40
(1.05 – 1) MP = 40
M.P. = 40/0.05 = ₹800
∴ CP = 0.75 M.P. = 0.75 × 800 = ₹ 600
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A man bought a watch at 25% discount on the original price. He got 40 more than the original price by selling it at 140% of the price at which he bought. The price of buying the watch was: (SSC Sub. Ins. 2015)a)900b)600c)800d)700Correct answer is option 'B'. Can you explain this answer?
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