Question

An article was sold at Rs. $a$ at a loss of 4%. If the article was sold at Rs. $b$, there would be a profit of 20%. Then, find a:b.

• A. 5:4
• B. 4:5
• C. 3:4
• D. 2:3

Answer 1

The correct option is B

4:5

At a loss of x%, the C.P = $\frac{100}{100-x}$ x S.P

Selling Price of the article = Rs. a

At a loss of 4%, the C.P of the article = Rs. $\frac{100}{100-4}$ x a = Rs. $\frac{25a}{24}$

At a profit of y %, the S.P = $\frac{100+y}{100}$ x C.P

Selling price of article at 20% profit = Rs. b

At a profit of 20%, the b = $\frac{100+20}{100}$ x Rs.$\frac{25a}{24}$ = $\frac{120}{100}$ x Rs.$\frac{25a}{24}$ = Rs.$\frac{5a}{4}$

a:b = a:$\frac{5a}{4}$ = 4:5