Question 16

Sonali buys 2 Pen Drives A and B, and their cost price is in the ratio of 5:6 respectively. If she sells them at a 10% profit each, she earns a total profit of ₹22. What will be her total profit, if she sells Pen Drive A at a 20% loss and Pen Drive B at a 30% profit?

Solution

The cost of pendrive A and B are in the ratio 5:6. Let the price of pendrive A be 5x and the price of pendrive B be 6x.

Total Cost Price = 5x + 6x = 11x

She sells them at a 10% profit each, and thus her overall profit is Rs 22.

Total Selling Price = (5x + 6x) * 1.1 = 12.1x

Profit = 12.1x - 11x = 22

Thus, x = 20

Thus, the cost of Pendrive A = Rs 100, and the cost of Pendrive B = Rs 120. Thus, overall cost price = Rs 220.

She sells Pendrive A at 20% less price, thus its selling price will be = Rs 80

She sells Pendrive B at a 30% higher price, so its selling price will be = Rs 120 * 1.3 = Rs 156.

Overall selling price = 80 + 156 = Rs 236

Thus, Total Profit = 236 - 220 = Rs 16

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