Question

Prices of tea and coffee last year were in the ratio 12:23. Between last year and this year the prices of tea has risen in the ratio 15:19 and that of coffee in the ratio 5:6 .If this year a KG of coffee and a KG of tea together cost Rs.214 Then how much does a KG of coffee cost

Answer 1

Answer:

KYa haiPrices of tea and coffee last year were in the ratio 12:23. Between last year and this year the prices of tea has risen in the ratio 15:19 and that of coffee in the ratio 5:6 .If this year a KG of coffee and a KG of tea together cost Rs.214 Then how much does a KG of coffee cost

Answer 2

The cost of a Kg of coffee is Rs.115.84.

Step-by-step explanation:

Given:

The ratio 12:23 of prices of tea and coffee last year.

The ratio 15:19 of prices of tea between last year and this year.

The ratio 5:6 of prices of coffee between last year and this year.

Rs.214 is cost together of this year a KG of coffee and a KG of tea.

To Find:

The cost of a Kg of coffee .

Solution:

Let the last year price of  a kg of tea and  a kg of coffee are  p and q respectively.

As given-The ratio 12:23 of prices of tea and coffee last year.

$\frac{p}{q} =\frac{12}{23}$    ------------- equation no. 01

Let the this year price of a kg of  tea and  a kg of coffee are  m and n respectively.

As given-the ratio 15:19 of prices of tea between last year and this year.

$\frac{p}{m} =\frac{15}{19}$    ------------- equation no.02

As given-the ratio 5:6 of prices of coffee between last year and this year.

$\frac{q}{n} =\frac{5}{6}$    ------------ equation no.03.

As given-Rs.214 is cost together of this year a KG of coffee and a KG of tea.

$m+n=214$  ----------- equation no.04

Dividing equation 02 by equation no.03, we get.

$\frac{p}{m} \times\frac{n}{q} =\frac{15}{19} \times\frac{6}{5}$

$\frac{p}{q} \times\frac{n}{m} =\frac{90}{95}$    

putting the value of $\frac{p}{q}$ from equation no.01, we get.

$\frac{12}{23} \times\frac{n}{m} =\frac{90}{95}$

$\frac{n}{m} =\frac{90\times23}{95\times12}$

$\frac{n}{m} =\frac{2070}{1140}$

$\frac{n}{m} =1.81$

$n=1.81m$

Putting the value of n in equation no.04, we get.

$m+n=214$

$m+1.81m=214$

$2.18m=214$

$m=98.16$

Putting the value of m in equation no.04.

$98.16+n=214$

$n=214-98.16$

$n= Rs.\ 115.84$

Thus,the cost of a Kg of coffee is Rs.115.84.

PROJECT CODE#SPJ3