A merchant made two types of mixed oils P & Q with three different types of oils, X, Y and Z in the ratios 3:2:5 and 4:3:3 respectively with the costs of each litre of X, Y and Z being ₹120, ₹125 and ₹150 respectively. How much profit will the merchant make if he sells 100 litres each of P and Q at the same rate of ₹136 per litre?

Cost per litre of X, Y, Z: $₹120, ₹125, ₹150$.

Cost of Mixture P (3:2:5 ratio):

Total parts = $3+2+5=10$.

Cost for 10 parts = $3(120) + 2(125) + 5(150) = 360 + 250 + 750 = ₹1360$.

Cost per litre of P = $1360/10 = ₹136$.

Cost of Mixture Q (4:3:3 ratio):

Total parts = $4+3+3=10$.

Cost for 10 parts = $4(120) + 3(125) + 3(150) = 480 + 375 + 450 = ₹1305$.

Cost per litre of Q = $1305/10 = ₹130.5$.

Profit Calculation for 100 litres of P and 100 litres of Q sold at ₹136/litre:

Profit from P = $100 \times (136 - 136) = ₹0$.

Profit from Q = $100 \times (136 - 130.5) = 100 \times 5.5 = ₹550$.

Total profit = $0 + 550 = ₹550$.