A grocer bought sugar worth of Rs.4500. He sold one-third of it at a gain of 10%. At what gain per cent must the remaining sugar be sold to have a gain of 12% on the whole?

Question

Philoid · Accepted Answer

CP of sugar = Rs.4500

SP of sugar to gain 12% on whole

SP

= Rs.5040

CP for 1/3 of sugar = 4500 × 1/3

= Rs.1500

SP of 1/3 of sugar will be

SP =

= Rs.1650

Difference between both the Selling Prices

= 5040 – 1650

= Rs.3390

CP for remaining 2/3 sugar = 4500 – 1500

= Rs.3000

SP for 2/3 sugar = Rs.3390

Gain = SP - CP

= 3390 – 3000

= Rs.390

= 13%

So, to gain 12% on whole remaining sugar should be sold at 13%.