Sarita buys two old Samsung and three Mi mobile phones for ₹40,200. If she sells the Samsung phones at a 10% profit and the Mi phones at a 20% profit then her total profit is ₹5,640. The cost price of the Mi phone is:

Correct option is C

Given:

Sarita buys 2 Samsung phones and 3 Mi phones for ₹40,200

Profit on Samsung phones = 10%

Profit on Mi phones = 20%

Total profit = ₹5,640

Solution:

Let: Cost price of 1 Samsung phone = ₹S and Cost price of 1 Mi phone = ₹M

Total cost: 2S + 3M = 40200   ...(i)

Total profit: 10% of 2S + 20% of 3M = 5640 = 0.1(2S) + 0.2(3M) = 5640

0.2S + 0.6M = 5640   ...(ii)

Multiply equation (ii) by 10:

2S + 6M = 56400   .... (iii)

Now subtract (i) from (iii):

(2S + 6M) - (2S + 3M) = 56400 - 40200

3M = 16200

M = 5400

The cost price of one Mi phone is ₹5,400.