SSC CGL 2022 PYQ — Question 73

SSC CGL - 20 April 2022 - Shift 2 • Quantitative Aptitude • Q73

A reduction of 20% in the price of bananas enables a customer to buy 6 more bananas for Rs 80. What is the reduced price of bananas per dozen (in Rs)?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 32

Explanation:

Let the C.P. of each banana is x

Total number of bananas in Rs. 80 = 80x80\over x

New price = 80x100=4x5{80x\over 100} = {4x\over 5}

New number of bananas in Rs. 80 = 804x580\over {4x\over 5}

⇒ 100x100\over x

⇒ (100x)−(80x)=6({100\over x}) - ({80\over x}) = 6

⇒ 20x20\over x = 6

⇒ x = 20620\over 6

New price of bananas = 206×45{20\over 6} × {4\over 5} = 838 \over 3

Hence the reduced price of bananas per dozen = (8/3) × 12 = 32