UPSC CDS I 2025 Mathematics Paper

Profit on article X=15%
Selling price of article X=₹34,500
Loss on article Y=10%
No overall gain or loss (Net profit = ₹0)
Formula used:
Cost price (CP) =‌

‌ Selling Price (SP) ‌

1+‌ ‌ Profit ‌% 100

Cost price (CP) =‌

‌ Selling Price (SP) ‌

1−‌ ‌ Loss ‌% 100

Calculations:
For article X:
CP of article X=‌

34500

1+‌ 15 100

⇒CP of article X=‌

34500

1.15

⇒ CP of article X = ₹30,000

For article Y:
Total cost price of X and Y= Total selling price of X and Y
⇒CP of X+CP of Y=SP of X+SP of Y
⇒₹30,000+CP of Y=₹34,500+SP of Y
⇒CP of Y=SP of Y - ₹4,500
CP of article Y=‌

SP‌ of ‌Y

1−‌ 10 100

⇒SP of Y−₹4,500=‌

SP‌ of ‌Y

0.9

⇒0.9(SP of Y−₹4,500)=SP of Y
⇒0.9SP of Y−₹4,050=SP of Y
⇒SP of Y−0.9SP of Y=₹4,050
⇒0.1SP of Y=₹4,050
⇒SP of Y=₹4,050×10
⇒SP of Y=₹40,500