Selling at Rs.1140 gives 5% loss. Find SP for 5% profit.

Question

The salaries of three friends Sita, Gita and Mita are initially in the ratio 5: 6: 7 , respectively. In the first year, they get salary hikes of 20%, 25% and 20% , respectively. In the second year, Sita and Mita get salary hikes of 40% and 25% , respectively, and the salary of Gita becomes equal to the mean salary of the three friends. The salary hike of Gita in the second year is

Answer 1

Step 1: A 5% loss means the selling price is 95% of the cost price, and a 5% profit means the new selling price is 105% of the same cost price, so the two selling prices are related directly by the ratio of these percentages.

Step 2: Set up the ratio: \( \frac{\text{SP}_{\text{profit}}}{\text{SP}_{\text{loss}}} = \frac{1.05}{0.95} \).

Step 3: Substitute the known loss price: \( \text{SP}_{\text{profit}} = 1140 \times \frac{1.05}{0.95} = 1140 \times \frac{21}{19} \).

Step 4: Compute: \( 1140 \div 19 = 60 \), then \( 60 \times 21 = 1260 \).
\[ \boxed{\text{Rs. } 1260} \]

Selling at Rs.1140 gives 5% loss. Find SP for 5% profit.

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The Correct Option is C

Solution and Explanation

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