Explanation:

The manufacturer sells the product to retailer, and then retailer sells to the customer. Assume manufacturing cost = 100 and manufacturer profit = x

As Maximum Retail Price (MRP) of a product is 60% above its manufacturing cost,

MRP = 160% of 100 = 160

The retailer gives 15% discount on MRP. So, customer price is 85% of MRP. Buyer Price = 85% of 160 = 136

Manufacturer makes x rupees profit, and then retailer makes 19% profit.

So, 119% of (100 + x) = 136

⇒ 119 (100 + x) = 13600

⇒ (100 + x) = 114.28

⇒ x = 14.28

Hence, Manufacturer profit = 14.2%