The cost price of an article is decreased by 10% and then increased by 20%. If the final price is ₹540, then the original cost price is:

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 3)

Answer 1

Given:

Cost price (C.P) is first decreased by 10%.

Cost price (C.P) is again increased by 20%

Final price = Rs.540

Calculation:

Let the C.P = 100x

Cost price after decrement = 100x × (100 -10)% = 90x

Cost price after increment = 90x × (100 + 20)% = 108x

According to the question:

⇒ 108x = 540

⇒ x = 540/108 = 5

⇒ 100x = 5 × 100 = Rs.500

∴ The correct answer is 500.

Alternate MethodCalculation:

Now,

⇒ 54 units = Rs.540

⇒ 1 unit = 540/54 = Rs.10

⇒ Original C.P = 50 units = 50 × 10 = Rs.500

∴ The correct answer is Rs.500.

Download Solution PDF