395 are divided among A, B and Cin ...
Question

# 395 are divided among A, B and Cin such a manner that B gets 25% more than A and 20% more than c. The share of A is (1) 198 (3) 180 (2) (4) 120 195

11th - 12th Class
Maths
Solution
299
4.0 (1 ratings)
40. (2) Suppose A gets ₹ ( x ). Then, ( B ) gets ( 125 % ) of ( x=frac{125}{100} times x=₹ frac{5 x}{4} ) If ( B ) gets ( ₹ 120 ), then ( C ) gets ( ₹ 100 ). If ( B ) gets ( ₹ frac{5 x}{4} ) then, ( C ) gets [ begin{array}{l} quad=₹left(frac{100}{120} times frac{5 x}{4}right)=₹ frac{25 x}{24} therefore quad x+frac{5 x}{4}+frac{25 x}{24}=395 Rightarrow quad(24 x+30 x+25 x)=(395 times 24) Rightarrow quad 79 x=(395 times 24) end{array} ] ( Rightarrow quad x=left(frac{395 times 24}{79}right)=120 ) Hence, A gets ₹ 120