To celebrate party, Akshay placed an order for 9 pizzas which includes brand A and brand B pizzas. P

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23 May 2022 Ratio & Proportion

To celebrate party, Akshay placed an order for 9 pizzas which includes brand A and brand B pizzas. Price of brand A pizza is double that of brand B. When the order was delivered he found that the number of pizzas of the brands were interchanged and this increased the bill by 25%. The ratio of brand A and brand B pizzas in original order was

OPtion

1) 3:1
2) 2:7
3) 2:1
4) 1:3
5) 5:4
6) 7:2
7) 4:5
8) 1:2
9) 1:8
10) None of these

Solution

Let the number of pizzas of brand B=n and brand A=(9-n)
If price of one pizza of brand B = Rs. x and brand A=2x
Then price of original order = Rs. [nx + (9-n)*2x]
Bill after interchanging the number of two brands = Rs. [n*2x + (9-n)*x]
Given, new bill is 25% more than the original
⇒ [n*2x + (9-n)*x] = (125/100)*[nx + (9-n)*2x]
n + 9 = (5/4)*(18-n)
n = 6
.'. Number of brand A=(9-n)=3 and brand B=6
Required ratio = A : B = 3:6 = 1:2
Correct Option 8)

Correct Option: 8 Best Solution (1)

G.S.Kantharao   2 years AGO

Let 2x,x are the prices of A and B
If A=K then B=9-K
2Kx+(9-K)x=Kx+9x is the expenditure.
When they reversed
(9-K)2x+Kx=18x-Kx is the expenditure.
Difference is
18x-Kx-Kx-9x is excess spend
% of excess=(9x-2Kx)100/9x+Kx=25
(9x-2Kx)100=25(9x+Kx)
36x-8Kx=9x+Kx
27x=9Kx=>K=3
A:B=3:(9-3)=3:6=1:2
My option is 8👈

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