The average price of three items of furniture is ₹5,245. If their prices are…
2026
The average price of three items of furniture is ₹5,245. If their prices are in the ratio 3 : 5 : 7, the price of the cheapest item (in ₹) is:
Answer: C. 3,147 — CONCEPTAverage connects a total with the number of values: total = average × number of values. If three quantities are in the ratio a : b : c, write them as…
- A.
1,049
- B.
7,343
- C.
3,147
- D.
5,245
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Show answer & explanation
Correct answer: C
CONCEPT
Average connects a total with the number of values: total = average × number of values.
If three quantities are in the ratio a : b : c, write them as ak, bk and ck; their total is (a + b + c)k.
APPLICATION
Let the three prices be 3k, 5k and 7k. The total number of ratio parts is 3 + 5 + 7 = 15.
The total price of the three items is ₹5,245 × 3 = ₹15,735.
Therefore, 15k = 15,735, so k = 15,735 ÷ 15 = 1,049.
The cheapest item corresponds to 3k, so its price is 3 × ₹1,049 = ₹3,147.
CROSS-CHECK
The three prices ₹3,147, ₹5,245 and ₹7,343 add to ₹15,735, have average ₹5,245, and are in the ratio 3 : 5 : 7. Therefore, the cheapest price is ₹3,147.