A house and a garden together cost ₹51 lakh and the cost of the garden is $$\frac{5}{12}$$ of the cost of the house. Find the cost of the garden (in ₹).

Correct option is C

Given:

Cost of house and garden = ₹51 lakh

Cost of garden =$$\frac{5}{12}$$​ of house

Solution:

Let the cost of house be x

Then cost of garden =$$\frac{5}{12}$$ of x = $$\frac{5x}{12}$$​​

​$$x+ \frac{5x}{12 } = 51lakh$$​

​$$\frac{12x +5x}{12} = 51$$​​

​$$x = 51 \times \frac{12}{17}$$​

x = 36lakh

Cost of garden =$$\frac{5}{12}$$​ of 36lakh = 15lakhs