Amount (A)=P(1+r∕100)t, where: A= Amount after time t P = Principal r= Rate of interest t = Time period Calculation: Let the amount given to Ajay be ₹x, and the amount given to Prakash be ₹ ( 1224−x ). According to the problem, Ajay and Prakash received the same amount after 18 and 19 years, so we can write the equation for their amounts: x(1+4∕100)18=(1224−x)(1+4∕100)19 ⇒x(1.04)18=(1224−x)(1.04)19 Now, divide both sides by (1.04)18 : ⇒x=(1224−x)(1.04) ⇒x=1224×1.04−x×1.04 ⇒x+x×1.04=1224×1.04 ⇒x(1+1.04)=1224×1.04 ⇒x×2.04=1224×1.04 ⇒x=(1224×1.04)∕2.04 ⇒x=1272.96∕2.04 ⇒x≈₹624 Amount given to Prakash =1224−624=600