Question

If A exceeds B by $40$ %, B is less than C by $20$% , then A : C is :

• A. $28:25$
• B. $26:25$
• C. $283:251$
• D. $287:254$

Answer 1

The correct option is A $28:25$

$\Rightarrow$ Let $C=100.$

$\Rightarrow$ So B = 20% less than C or 80% of C = $\frac{80}{100}\times 100=80$

$\Rightarrow$ So, A = B + 40% of B

$\Rightarrow$ $A=80+80\times \frac{40}{100}=112$

$\therefore$ $A:C=\frac{A}{C}=\frac{112}{100}=\frac{28}{25}$