Question

Q.1 ONE KG OF TEA AND ONE KG OF SUGAR TOGETHER COST RS 95.IF THE PRICE OF TEA FALLS BY 10% AND THAT OF SUGAR RISES BY 20%,THEN THE PRICE OF ONE KG OF EACH COMBINE COMES TO RS 90.FIND THE ORIGINAL PRICE OF TEA IN RS PER KG?{EXPERTS PLEASE SEND ME SOME LINK AS I HAVE A LITTLE CONFUSION IN SOLVING THE QUESTIONS WITH THE HELP OF VARIABLE}?

Answer 1

1kg tea =80₹k
1kg sugar=15₹

Answer 2

Answer:

The original price of the tea per kg is Rs.80 per kg.                      Step-by-step explanation:

Given : One of tea and one kg of sugar together cost Rs.95. If the price of tea falls by 10% and that of sugar rises by 20% then the price of one kg of each combined comes to Rs.90.

To find : The original price of tea in Rs per kg is ?

Solution :

Let the price of 1 Kg of Tea be 'x'

Let the price of 1 Kg of Sugar be 'y'

According to question,

One of tea and one kg of sugar together cost Rs.95.

$x+y=95$ .....(1)

If the price of tea falls by 10% and that of sugar rises by 20% then the price of one kg of each combined comes to Rs.90.

$(x-0.1x) + (y+0.2y) = 90$

$0.9x+1.2y= 90$ ....(2)

Solving equation (1) and (2),

Substitute y from (1) in (2),

$0.9x+1.2(95-x)= 90$

$0.9x+114-12.x= 90$

$-0.3x= 90-114$

$-0.3x=-24$

$x=\frac{24}{0.3}$

$x=80$

Substitute in equation (1),

$80+y=95$

$y=95-80$

$y=15$

The original price of the sugar per kg is Rs.15 per kg.

Therefore, The original price of the tea per kg is Rs.80 per kg.