Question

88. The price of sugar is reduced by 20%. Now a person

can buy 500g more sugar for Rs. 36. The original

price of the sugar per kilogram was

a) Rs.14.40 b) Rs.18 c)Rs.15.60

d) Rs.16.50 e) None of these​

Answer 1

Answer:

e) none of these

Step-by-step explanation:

Let the initial price of the sugar per kg  be $x$

A 20% reduction in price implies that the new price is

$\frac{100-20}{100} *x=0.8x$

If a person  can buy 500g more sugar for Rs. 36.

this means that 1.5kg of sugar is bought at rs 36

Thus the new price per kg is;

$\frac{35}{1.5}*1=24$

ie Rs 24 per kg

This is equivalent to 0.8x

Therefore, the initial price x can be computed as;

$0.8x=24\\x=\frac{24}{0.8}\\ \\x=30$

Rs 30 per Kg of sugar