Question

Cost price of article X is three times of cost of Y, if SP of Y is Rs. 18,000 and loss is 10%, then what will be the cost price of article X?

1. Rs. 20,000
2. Rs. 60,000
3. Rs. 30,000
4. Rs. 45,000

Answer 1

Correct Answer - Option 2 : Rs. 60,000

Given:

CP of X = 3 × CP of Y

SP of Y = Rs. 18,000

Loss% = 10%

Formula used:

CP = SP × 100/(100 – L%)

Where

CP → Cost price

SP → Selling Price

L% → Loss percent

Calculation:

CP of Y = CP_Y = (SP of Y) × 100/(100 – L%)

⇒ CP_Y = 18000 × 100/(100 – 10)

⇒ CP_Y = 18000 × (100/90)

⇒ CP_Y = 20,000

CP_X = 3 × CP_Y

⇒ CP_X = 3 × 20,000

∴ Cost price of X is Rs. 60,000