The prices of each article of types P, Q, and R are ₹280, ₹180 and ₹100, respectively.
The prices of each article of types P, Q, and R are ₹280, ₹180 and ₹100, respectively. Kishore buys articles of each type in the ratio 3 : 4 : 5 in ₹6,180. How many articles of type Q did he purchase?
P, Q और R प्रकार की प्रत्येक वस्तु के मूल्य क्रमशः ₹280, ₹180 और ₹100 हैं। एक किशोर प्रत्येक प्रकार की वस्तुएँ 3 : 4 : 5 के अनुपात में कुल ₹6,180 में खरीदता है।
Detailed Solution & Logic
Correct Answer:
12
Let the number of articles of types P, Q, and R be 3x, 4x, 5x respectively (ratio 3:4:5).
Prices of articles:
-
P = ₹280
-
Q = ₹180
-
R = ₹100
Total cost:
$3x \cdot 280 + 4x \cdot 180 + 5x \cdot 100 = 6180$
Calculate:
$840x + 720x + 500x = 6180$
$2060x = 6180$
$x = \frac{6180}{2060} = 3$
Number of Q articles = 4x = 4.3 = 12
Correct answer = 12
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