Question

Divide RS 147 in the ratio of 1/3 : 1/4

Answer 1

Let the 1st part be 1/3x

Let the second part be 1/4x

Total amount given is ₹147


According to the given condition,

1/3x + 1/4x = 147

Multiply both the sides by 12, because 3 × 4 = 12 (multiplication of denominators)

➾ 1/3x × 12 + 1/4x × 12 = 147 × 12

➾ 4x + 3x = 1764

Add the like term

➾ 7x = 1764

Divide both the sides by 7

➾ 7x ÷ 7 = 1764 ÷ 7

Find x

➾ x = 252


∴ 1st part ➾ 1/3x

➾ 1/3 × 252

➾ $\green{\boxed{\green{\boxed{\red{\textsf{84}}}}}}$


∴ 2nd part ➾ 1/4x

➾ 1/4 × 252

➾ $\green{\boxed{\green{\boxed{\red{\textsf{63}}}}}}$

Answer 2

Simple way
Take LCM Of 3 & 4 , ratio will change to 4/12 : 3/12 . Now both denominator i.e 12 get cancelled , ratio will become 4 : 3 .
Sum of ratio is 7 or 4+3=7 .
first ratio is (147×4) ÷ 7 , and second ratio is (147×3) ÷ 7