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If a shopkeeper sells a TV at a discount of 42%, he loses 13%. At what discount should he sell the TV to earn a profit of 5%?
- a)25%
- b)42%
- c)30%
- d)70%
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If a shopkeeper sells a TV at a discount of 42%, he loses 13%. At wha...
SP = (1−42/100) MP= (1−13/100) CP
MP = 0.87×CP/0.58= 1.5×CP
To earn profit of 5%, let the discount be D%.
New SP= (1+5/100) CP = (1−D/100) MP
1.05CP = (1−D/100) × 1.5 × CP
D= 30%
Short trick:
100 − D1/100 − D2 = 100+P1/100+P2
58/100−D2 = 87/105
⇒ D2 = 100−70 = 30%
Most Upvoted Answer
If a shopkeeper sells a TV at a discount of 42%, he loses 13%. At wha...
Calculation:
To find the discount at which the shopkeeper should sell the TV to earn a profit of 5%, we first need to determine the cost price of the TV.
Let the actual cost price of the TV be 100.
Given:
Selling price after a discount of 42% = 87
Loss incurred = 13%
So,
Cost price = 100
Selling price at 42% discount = 87
Loss = 13%
Calculating the cost price:
Let the cost price be x.
According to the given data:
x - 13% of x = 87
x - 0.13x = 87
0.87x = 87
x = 87 / 0.87
x = 100
Therefore, the cost price of the TV is 100.
Calculating the selling price to earn a 5% profit:
Let the selling price be y to earn a profit of 5%.
Selling price = Cost price + Profit
y = 100 + 5% of 100
y = 100 + 5
y = 105
Calculating the discount to earn a 5% profit:
Let the discount be z to sell the TV at a profit of 5%.
Discount = Cost price - Selling price
z = 100 - 105
z = -5
Therefore, the discount at which the shopkeeper should sell the TV to earn a profit of 5% is 5%.
Final Answer: The shopkeeper should sell the TV at a discount of 30% to earn a profit of 5%.
To find the discount at which the shopkeeper should sell the TV to earn a profit of 5%, we first need to determine the cost price of the TV.
Let the actual cost price of the TV be 100.
Given:
Selling price after a discount of 42% = 87
Loss incurred = 13%
So,
Cost price = 100
Selling price at 42% discount = 87
Loss = 13%
Calculating the cost price:
Let the cost price be x.
According to the given data:
x - 13% of x = 87
x - 0.13x = 87
0.87x = 87
x = 87 / 0.87
x = 100
Therefore, the cost price of the TV is 100.
Calculating the selling price to earn a 5% profit:
Let the selling price be y to earn a profit of 5%.
Selling price = Cost price + Profit
y = 100 + 5% of 100
y = 100 + 5
y = 105
Calculating the discount to earn a 5% profit:
Let the discount be z to sell the TV at a profit of 5%.
Discount = Cost price - Selling price
z = 100 - 105
z = -5
Therefore, the discount at which the shopkeeper should sell the TV to earn a profit of 5% is 5%.
Final Answer: The shopkeeper should sell the TV at a discount of 30% to earn a profit of 5%.
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If a shopkeeper sells a TV at a discount of 42%, he loses 13%. At what discount should he sell the TV to earn a profit of 5%?a)25%b)42%c)30%d)70%Correct answer is option 'C'. Can you explain this answer?
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