Question

A grocer bought sugar worth of 4500. He sold one-third of it at a pain of 10%. At what gain

per cent must the remaining sugar be sold to have a gain of 12% on the whole?​

Answer 1

13%

Explanation:

the cost price of 1/3 of the sugar = 1/3 x 4500 = 1500

gain=
`(selling price - cost price)/(cost price)` x 100

let x = unknown selling price

(x - 1500) / 1500 = 0.1

to solve for x, multiply both sides of the equation by 1500

x - 1500 = 150

x = 1650

the selling price of the 1/3 of sugar that yielded a 10% gain is 1650

to determine the gain percent of the remaining sugar, the selling price of the remaining sugar has to be determined . Let the selling price be represented by a

Based o the information in the question and the previous solution, the following equation can be derived

{(a + 1650) - 4500} / 4500 = 0.12

Solve for a

Multiply both sides of the equation by 4500

a + 1650 - 4500 = 540

a = 3390 = selling price of 2/3 of the sugar

Percent gain that the 2/3 of the sugar should be sold can be determined by taking the following steps

first find cost price of the 2/3 of sugar = 2/3 x 4500 = 3000

gain = (3390 - 3000) /3000 = 0.13 = 13%