One-third of Ratan's investment in National Savings Certificate is equal to one-half of his investment in FDR. If he has Tk. 1,50,000 as total investment, how much he invested in savings certificate?

Question: One-third of Ratan's investment in National Savings Certificate is equal to one-half of his investment in FDR. If he has Tk. 1,50,000 as total investment. how much he invested in savings certificate?

Solution:
Let saving in National Savings Certificate and FDR be Tk. x and Tk.(150000 - x) respectively.

ATQ,
x/3 = (1/2)(150000 - x)
⇒ x/3 = 75000 - x/2
⇒ (x/3) + (x/2) = 75000
⇒ (2x + 3x)/6= 75000
⇒ 5x/6 = 75000
⇒ x = (75000 × 6)/5
∴ x = 90000