X sells a washing machine to Y at a profit of 20%. Y sells it to Z at a loss of 12% and later Z sells it to T at a profit of 30%. If Z earns ₹87.60 more than X as profit, then at what price (in ₹) did Y buy the washing machine?

Correct option is C

Given:

X sells a washing machine to Y at profit = 20%

Y sells to Z for a loss = 12%

Z sells to T at a profit = 30%

Z earns a profit more than X = ₹87.60

Formula Used:

Selling Price = Cost Price + Profit

Profit Percent = $$\frac{Profit}{Cost \ Price} \times 100$$​​

Loss =$$\frac{Loss Percent}{100} \times CP$$​​

Loss = CP - SP

Solution:

Let the cost price for X be m

Profit for X = 20% of x = 0.2x

Selling Price = x+0.2x = 1.2x

Cost Price of Y = 1.2x

Loss of Y = 12% of 1.2x = 0.144x

Selling price of Y = 1.2x - 0.144x = 1.056x

Cost Price of Z = 1.056x

Profit of Z = 30% of 1.056x = 0.3168x

Difference in profit of X and Z = 0.3168x -0.2x = 0.1168x

0.1168x = 87.60

x = $$\frac{87.60}{0.1168}$$​= ₹750

Cost Price of Y = 1.2x = $$1.2 \times 750$$​ = ₹900