SSC CGL 2023 PYQ — Question 58

SSC CGL - 20 July 2023 - Shift 4 • Quantitative Aptitude • Q58

The cost price and selling price of rice are the same. Due to a faulty weighing machine, the seller earns a 15% profit. If Rs, x is the cost price of 1000 gm of rice and the machine is changed to show 1000 gm instead of 950 gm, what should be the selling price (in RS) now to get the same percentage of profit?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 1.0925x.

Given that

Cost price of rice = Selling price of rice

Due to a faulty weighing machine, the seller earns a 15% profit

If the cost price of 1000 gm of rice = Rs. x 

The machine is changed to show 1000 gm instead of 950 gm

Cost Price = Selling Price × 100/(100 + profit %)

According to the question

The cost price of 950 gm of rice = (x/1000) × 950 = 0.95x 

After making 15% profit 

The selling price = 0.95x × 115/100 = Rs. 1.0925x