Question

Masala Chai, Lassi, and Shikhanji were sold during a Holi celebration.On a Average 12 guests consumed 5 bottles of masala chai. 15 guests consumed 7 bottles of lassi and 5 guests comsumed 1 bottle of Shikhanji. Together 91 bottles of beverage was comsumed. How many guests were there in the event?
(A) 82
(B) 84
(C) 86
(D) 88
(E) None of the above.

Answer 1

Given,

12  guests  consumes  5  bottles of  masala chai

1 guest will consume = 5/12 bottle of  masala chai

15 guests consumes 7 bottles of  lassi

1  guest will consume = 7/15 bottle of lassi

5 guests consumes 1 bottles of  Shikhanji

1  guest will consume = 1/5 bottle of Shikhanji

Total beverage consumed  by  1 guest  

$=\frac{5}{12}+\frac{7}{15}+\frac{1}{5}\\\\=\frac{25+28+12}{60}\\\\=\frac{65}{60}$

Let the total number  of  guests be  x

Beverage consumed  by  x  guests = 65/60 × x

$91=\frac{65}{60}\times x\\\\x=\frac{91\times60}{65}\\\\x=\frac{7\times60}{5}\\\\x=7\times12\\\\x=84\;\;\textbf{Ans}$

Answer 2

Answer:

12 Guests consumed 5 bottles of masala chai.

Consumption of 1 guest masala chai = 5/12 bottles.

15 guests consumed 7 bottles of lassi.

Consumption of 1 guest lassi = 7/15

5 guests consumed 1 bottle of shikhanji.

Consumption of 1 guest Shikanji = 1/5.

Together 91 bottles of beverage was consumed.

Total number of guests = x.

==> 91 = (5/12) + (7/15) + (1/5) * x

==> 91 = (65/60) * x

==> 5460 = 65x

==> x = 84.

Hence, Number of guests is 84.