Let us try an ancient problem from Lilavati. At that time weights were measured in a unit named palas and niskas Class 8

Let us try an ancient problem from Lilavati. At that time weights were measured in a unit named palas and niskas Class 8

Question 1.

Let us try an ancient problem from Lilavati. At that time weights were measured in a unit named palas and niskas was a unit of money. “If 2[latex]\frac{1}{2}[/latex] palas of saffron costs [latex]\frac{3}{7}[/latex] niskas, O expert businessman! tell me quickly what quantity of saffron can be bought for 9 niskas ?” Class 8

Solution:

In [latex]\frac{3}{7}[/latex] niskas, quantity of saffron bought = 2[latex]\frac{1}{2}[/latex] palas = [latex]\frac{5}{2}[/latex] palas.

For 1 niskas, quantity of saffron bought

= [latex]\frac{5}{2}[/latex] × [latex]\frac{7}{3}[/latex] Palas

So, in 9 niskas, saffron that can be bought

= [latex]\frac{5}{2}[/latex] × [latex]\frac{7}{3}[/latex] × 9 Palas

= [latex]\frac{105}{2}[/latex] = 52[latex]\frac{1}{2}[/latex] Palas