Question

A reduction of Rs. 2 per kg enables a man to buy 4 kg more sugar for Rs. 16. Find the original value of sugar (per kg).

Answer 1

original value of sugar is rs4

Answer 2

Answer:

Rs.4 per kg.

Step-by-step explanation:

Let initial quantity of sugar be x kg

Cost of x kg sugar = Rs.16

So, Cost of sugar per kg = $\frac{16}{x}$

We are given that A reduction of Rs. 2 per kg enables a man to buy 4 kg more sugar for Rs. 16.

So, new quantity of sugar = x+4

Cost of x+4 kg sugar = Rs.16

So, Cost of sugar per kg = $\frac{16}{x+4}$

A.T.Q

$\frac{16}{x} -\frac{16}{x+4}=2$

$\frac{8}{x} -\frac{8}{x+4}=1$

$8(x+4)-8x=x(x+4)$

$x^2+4x-32=0$

$x^2+8x-4x-32=0$

$x(x+8)-4(x+8)=0$

$(x+8)(x-4)=0$

$x=-8,4$

Since the amount of sugar cannot be negative .

So, initial quantity of sugar is 4 kg

Cost of 4 kg sugar = Rs.16

So, Cost of sugar per kg = $\frac{16}{4}$ = Rs.4

Hence the cost of sugar is Rs.4 per kg.