Question

20.A seller sells two diamonds of different sizes at different selling prices. The selling price ofthe larger diamond is more than the selling price of the smaller diamond. The seller makes20% profit on selling the smaller diamond and 10% loss on selling the larger diamond. He9makes an overall loss of 111% on selling the two diamonds. What is the ratio of the sellingprice of the larger diamond to the selling price of the smaller diamond?1) 3:22) 2:13) 4:34) More information is needed to answer this question​

Answer 1

Answer:

2:1

Step-by-step explanation:

Let the Selling Price of the Smaller Diamond be x and the Larger Diamond be y  (y > x).

Hence, the Cost Price of the Smaller Diamond will be 5/6 x and the Cost Price of the Larger Diamond will be 10/9 y (As profit and loss are 20% & 10% respectively).

Given the overall loss is 1 (9/11)%  or 20/11%. We Sum up the cost price and Selling Price of both and apply the expression to the standard formula.

After reduction we get,

(55/9)y - (55/6)x = (5/6)x + (10/9) y

(45/9)y = (60/6)x

5y = 10x

y/x = 2/1

Hence, the ratio is 2:1.

Answer 2

Step-by-step explanation:

let the sp of smaller diamond be 20x

let the sp of bigger diamond be 10y

ratio =x/y

20/10

ratio =2:1