SSC CGL 2022 PYQ — Question 67

SSC CGL - 21 April 2022 - Shift 3 • Quantitative Aptitude • Q67

A reduction of 15% in the price of wheat enables a housewife to buy 6 kg more for Rs 2720. The reduced price of wheat per kg(in Rs) is:

Show answer & explanation

Correct answer: D

Explanation

 The correct answer is option 4 i.e. 68

Explanation:

Let the C.P. of wheat per kg be x

Total quantity of wheat in Rs.2720 = 2720x2720\over x

New price = x - 15% of x = 85x100=17x20{85x\over 100} = {17x\over 20}

New quantity of wheat in Rs. 2720 =272017x20 2720\over {17x\over 20}

⇒ 2720 × (2017x)({20\over 17x}) = 3200x3200\over x

Now, 3200x−2720x{3200\over x} - {2720\over x}= 6

⇒ 480x480 \over x = 6

⇒ x = 80

New price of wheat per kg = 80 × (1720)({17\over 20}) = 68

Hence the new price of wheat per kg is 68.