Profit and Loss
- A man gained 10% by selling an article for a certain price. If the sells it at double the price, then the profit made is ?
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Let CP of the article be ₹ N
Then, SP = 110% of x = 1.1N
If SP be double i.e., 2.2N, then
Profit per cent= [(2.2N - N)/ N] x 100%Correct Option: A
Let CP of the article be ₹ N
Then, SP = 110% of x = 1.1N
If SP be double i.e., 2.2N, then
Profit per cent= [(2.2N - N)/ N] x 100% = 120%
- A woman bought eggs at ₹ 30 per dozen, The selling price per hundred so as to gain 12% will be (in ₹)
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12 egg cost ₹ 30
Then cost price of 1 eggs = 35 x 12 = #8377; 2.5
Cost price of 100 eggs = 25 x 100 = ₹ 250
Now, let the SP of 100 eggs ₹ N.
Then [(SP - CP) / CP] x 100= profit % [(N - 250)/250] x 100 = 12
⇒ (N - 250)/(2/5) =12Correct Option: A
12 egg cost ₹ 30
Then cost price of 1 eggs = 35 x 12 = #8377; 2.5
Cost price of 100 eggs = 25 x 100 = ₹ 250
Now, let the SP of 100 eggs ₹ N.
Then [(SP - CP) / CP] x 100= profit % [(N - 250)/250] x 100 = 12
⇒ (N - 250)/(2/5) =12
⇒ N- 250 = (12 x 5)/2= 30
N = 250 + 30 = ₹ 280
- A man purchases as certain number of oranges at 4 a rupee and the same number of orange at 5 a rupees. He mixes them together and sells them at 4 a rupee. What is the gain or loss percent?
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CP of 1 orange for 1st rate = ₹ 1/4
CP of 1 orange for 2nd rate ₹ 1/5
CP of 2 orange after mixing = 1/4 + 1/5 = ₹ 9/20.
CP of 1 orange after mixing ₹ 9/20 X 2 = ₹ 9/40
SP Of 1 orange after mixing = ₹ 1/4
∴ Gain = 1/4 - 9/40 = ₹ 1/40Correct Option: C
CP of 1 orange for 1st rate = ₹ 1/4
CP of 1 orange for 2nd rate ₹ 1/5
CP of 2 orange after mixing = 1/4 + 1/5 = ₹ 9/20.
CP of 1 orange after mixing ₹ 9/20 X 2 = ₹ 9/40
SP Of 1 orange after mixing = ₹ 1/4
∴ Gain = 1/4 - 9/40 = ₹ 1/40
∴ Gain = (1/40 x 40/9 x 100)% = 100/9%
= 111/9%
- Meena purchased two fans each at ₹ 1200. She sold one fan at the loss of 5% and other at the gain of 10%. Find total gain or loss per cent ?
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Total CP = 2 x 1200 = ₹ 2400
SP of 5% loss = (95/100) x 1200 = ₹ 1140
SP at 10% gain = (110/100) x 1200 = ₹ 1320
Total SP = 1140 +1320 = ₹ 2460
∴ Gain = 2460 - 2400 = ₹ 60Correct Option: C
Total CP = 2 x 1200 = ₹ 2400
SP of 5% loss = (95/100) x 1200 = ₹ 1140
SP at 10% gain = (110/100) x 1200 = ₹ 1320
Total SP = 1140 +1320 = ₹ 2460
∴ Gain = 2460 - 2400 = ₹ 60
Gain % = (60/2400) x 100% = 2.5%
- A man sold an article for ₹ 322, gaining 1/6th of his outlay. Find the cost price of the article ?
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Let CP = N, then gain = N/6
According to the question,
N + N/6 = 322Correct Option: D
Let CP = N, then gain = N/6
According to the question,
N + N/6 = 322
⇒ 7N/6 = 322
∴ N = 322 x 6/7 = ₹ 276
