SSC MTS 2022 PYQ — Question 74

SSC MTS - 25 July 2022 - Shift 3 • Quantitative Aptitude • Q74

When a watch is sold at 78\frac{7}{8}th of the marked price, there is a profit of 25%. At what percentage more than the cost price has the marked price of the watch been fixed? [Give your answer correct to 2 decimal places.]

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 2 i.e. 42.86%

Let the marked price of the watch be 8x then the selling price of the watch will be 7/8th of 8x = 7x

When selling it on 7x there is a profit of 25%

7x = 125% of cost price

cost price = 7x125\dfrac{7x}{125} x 100 = 5.6x

Difference between mark price and cost price = 8x - 5.6x = 2.4x

percentage required = 2.4x8x\dfrac{2.4x}{8x} x 100 = 30%