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The prices of articles of types P, Q and R are ₹280, ₹180 and ₹100, respectively. Rajiv purchases these articles in the ratio 3 : 4 : 3, spending a to
Question

The prices of articles of types P, Q and R are ₹280, ₹180 and ₹100, respectively. Rajiv purchases these articles in the ratio 3 : 4 : 3, spending a total of ₹27,900. How many articles of type Q did he buy?

A.

60

B.

48

C.

72

D.

84

Correct option is A

Given:
Price of type P = ₹280
Price of type Q = ₹180
Price of type R = ₹100
Ratio of quantities purchased = 3 : 4 : 3
Total expenditure = ₹27,900
Formula Used:
Total Cost = Price × Quantity
Solution:
Let the number of articles of type P, Q, and R be 3k, 4k, and 3k respectively.
Total cost = (280 × 3k) + (180 × 4k) + (100 × 3k)
Total cost = 840k + 720k + 300k
1860k = 27900
k = 279001860 \frac{27900}{1860}​​
k = 15
Number of articles of type Q = 4k = 4 × 15 = 60
Final Answer
So the correct answer is (a)

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