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

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Solution

Overall gain = 12%

Gain % = $\frac{S P - C P}{C P} \times 100$

$\Rightarrow 12 = \frac{S P - 4500}{4500} \times 100$

$\Rightarrow S P = 5040 R s$

a) sold ${\frac{1}{3}}^{r d}$ at gain of 10%

Gain % = $\frac{S P - (4500 / 3)}{(4500 / 3)} \times 100$

$\Rightarrow 10 = \frac{S P - 1500}{1500} \times 100$

$\Rightarrow S P_{1} = 1650 R s$

$S P_{2} = S P - S P_{1} = 5040 - 1650$

$= 3390 R s$

$C P = \frac{2}{3} \times 4500 = 3000 R s$

Gain % = $\frac{3390 - 3000}{3000} \times 100$

$= \frac{390}{30} = 13$ %

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

Overall gain = 12%Gain % = SP−CPCP×100⇒12=SP−45004500×100⇒SP=5040Rsa) sold 13rd at gain of 10%Gain % = SP−(4500/3)(4500/3)×100⇒10=SP−15001500×100⇒SP1=1650RsSP2=SP−SP1=5040−1650=3390RsCP=23×4500=3000RsGain % = 3390−30003000×100=39030=13%