In a restaurant, the profit is 150% of the cost.

In a restaurant, the profit is 150% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?

Answer/Solution

55%

Steps/Work

Explanation :
Let C.P.= Rs. 100. Then, Profit = Rs. 150, S.P. = Rs. 250.
New C.P. = 112% of Rs. 100 = Rs. 112
New S.P. = Rs. 250.
Profit = Rs. (250 - 112) = Rs. 138.
Required percentage = (138 /250 *100) % = 55 % appox
Answer : B

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In a restaurant, the profit is % of the cost. If the cost increases by % but the selling price remains constant, approximately what percentage of the selling price is the profit?

Calculated Answer

55.2

Step by Step Solution

In order to solve problem, you must evaluate (n₀ / 100 * 100 + 100 - (n₁ / 100 + 1) * 100) / (n₀ / 100 * 100 + 100) * 100.

n₀ =	150
n₁ =	12

(n₀ / 100 * 100 + 100 - (n₁ / 100 + 1) * 100) / (n₀ / 100 * 100 + 100) * 100
Evaluate n₀ / 100 = 1.5
(1.5 * 100 + 100 - (n₁ / 100 + 1) * 100) / (n₀ / 100 * 100 + 100) * 100
Evaluate 1.5 * 100 = 150
(150 + 100 - (n₁ / 100 + 1) * 100) / (n₀ / 100 * 100 + 100) * 100
Evaluate 150 + 100 = 250
(250 - (n₁ / 100 + 1) * 100) / (n₀ / 100 * 100 + 100) * 100
Evaluate n₁ / 100 = 0.12
(250 - (0.12 + 1) * 100) / (n₀ / 100 * 100 + 100) * 100
Evaluate 0.12 + 1 = 1.12
(250 - 1.12 * 100) / (n₀ / 100 * 100 + 100) * 100
Evaluate 1.12 * 100 = 112
(250 - 112) / (n₀ / 100 * 100 + 100) * 100
Evaluate 250 - 112 = 138
138 / (n₀ / 100 * 100 + 100) * 100
Evaluate n₀ / 100 = 1.5
138 / (1.5 * 100 + 100) * 100
Evaluate 1.5 * 100 = 150
138 / (150 + 100) * 100
Evaluate 150 + 100 = 250
138 / 250 * 100
Evaluate 138 / 250 = 0.552
0.552 * 100
Evaluate 0.552 * 100 = 55.2
55.2
The answer to the problem and the result of (n₀ / 100 * 100 + 100 - (n₁ / 100 + 1) * 100) / (n₀ / 100 * 100 + 100) * 100 is 55.2

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Answer/Solution

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Step by Step Solution