Word problems ratio...
Find the ratio of the price of coffee to that of tea,if coffee costs rupees 48per 100 GM and tea costs rupees 280 per kg.find the ratii
Answers
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?
A. Rs.175.50 B. Rs.180
C. Rs.182.50 D. Rs.170.5
Answer: Options
Explanation:
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed in the ratio 1 : 1
So their average price
=
(
126
+
135
)
2
=
130.5
Hence let's consider that the mixture is formed by mixing two varieties of tea, one at Rs. 130.50 per kg and the other at Rs.
x
per kg in the ratio 2 : 2, i.e., 1 : 1. Now let's find out
x
.
By rule of alligation,
Cost of 1 kg of 1st kind of tea Cost of 1 kg of 2nd kind of tea
130.50
x
Mean Price
153
(
x
−
153
)
22.50
(
x
−
153
)
:
22.5
=
1
:
1
⇒
x
−
153
=
22.50
⇒
x
=
153
+
22.5
=
175.5
Answer:
12/7
Step-by-step explanation:
We know that 1 kg = 1000g
So,
0.1 kg = 100g
So
In coffee
rupees 48 = 0.1 kg
so,
rupees 480 = 1kg
In tea
rupees 280 = 1kg
Hence,
the ratio = 480/280 = 12/7
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