SSC GD 2019 PYQ — Question 62

SSC GD Constable (English) - 13 Feb 2019 Shift 3 • Quantitative Aptitude • Q62

The price of two articles are in the ratio of 5 : 6 respectively. The price of first article is increased by 30% and the price of second article is decreased by X%. If the new ratio is 13 : 11 respectively, then what is the value of X?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 8.33.

Understanding/Application

Let the Cost Price of two articles be Rs.500 and Rs.600

Price of first article is increased by 30% = 130% of 500 = (500 × 130/100) = Rs.650

Price of second article is decreased by X% = (100 - X)% of 600 = Rs.(600 - 6X)

650 : (600 - 6X) = 13 : 11

(600 − 6X) × 13 = 650 × 11

600 − 6X = 550

6X = 50

X = 8.33