SSC CGL 2022 PYQ — Question 65

The correct answer is Option 4. i.e. Rs.2.25.

Given:

Reduction = 20%

A person can buy 50 kg more rice for Rs. 450

Concept Used:

Incremented/reduced value = Initial value(1 + change%)    ....(i)

Explanation:

Let initially the person can buy x kg rice for Rs. 450

Now, for Rs. 450, a person can buy (x + 50) kg rice.

So, using equation (i), we get

${450 \over (x + 50)} = {450 \over x} \times (1 - 0.2)$

⇒ ${1 \over (x + 50)} = {1 \over x} \times {4 \over 5}$

⇒ 5x = 4x + 200

⇒ x = 200

Hence the original price(per kg) of rice is $450 \over 200$ = Rs. 2.25.