With a 5 % discount on cost of sugar, a buyer could purchase 2, kg more sugar for Rs. 608 . Selling

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7.Profit and Loss

hard

With a $5 \%$ discount on the cost of sugar, a buyer could purchase $2\, kg$ more sugar for $Rs.$ $608 .$ Selling price of sugar is? (in $Rs$)

A

$15.50$

B

$15$

C

$16.50$

D

$16$

Solution

Discount $\%$ in initial cost of sugar $=5 \%$

Now to keep $Rs.$ $608$ price constant,

$\%$ increase in initial consumption

$=\left(\frac{5}{100-5}\right) \times 100 \%=\frac{100}{19} \%$

Here, $=\frac{100}{19} \%$ is increase in consumption,

$So , \quad\left(\frac{100}{19} \%=2 kg \right)$

So initial consumption i.e. $(100 \%)$

$=(19 \times 2)=38 kg$

Initial $SP$ of Sugar $=$ $Rs.$ $\frac{608}{38}=$ $Rs.$ $16 / kg$

Standard 13

Quantitative Aptitude

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