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If the ratio of the prices of one diamond ticket to that of one gold ticket is 12:7, and the ratio of the revenue obtained from the sale of diamond tickets to that of the gold tickets is 45:28, find the ratio of the total number of people who bought diamond tickets to the people who bought gold tickets.
A. 14:15
B. 15:14
C. 15:16
D. 16:15
E. 17:15
A. 14:15
B. 15:14
C. 15:16
D. 16:15
E. 17:15
11 Sep 2025, 12:15
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| Price | Number of People | Revenue | |
| Diamond | 12x | D | 12xD |
| Gold | 7x | G | 7xG |
It is given Revenue ratio for diamond and gold is 45:28,
12xD/7xG = 45/28
D/G = 15/16
Naseeb007
Given:
- Price ratio (Diamond:Gold) = 12:7
- Revenue ratio (Diamond:Gold) = 45:28
Let:
- Price of diamond ticket = 12x
- Price of gold ticket = 7x
- Number of diamond tickets sold = D
- Number of gold tickets sold = G
From the revenue ratio:
12D / 7G = 45 / 28
Cross-multiplying:
12D * 28 = 7G * 45
=> 336D = 315G
Simplifying gives:
16D = 15G
Final Ratio:
D : G = 15 : 16
Answer: 15:16
- Price ratio (Diamond:Gold) = 12:7
- Revenue ratio (Diamond:Gold) = 45:28
Let:
- Price of diamond ticket = 12x
- Price of gold ticket = 7x
- Number of diamond tickets sold = D
- Number of gold tickets sold = G
| Diamond | Gold | |
|---|---|---|
| Price | 12x | 7x |
| Revenue | 12x * D | 7x * G |
| Revenue Ratio | 45 | 28 |
From the revenue ratio:
12D / 7G = 45 / 28
Cross-multiplying:
12D * 28 = 7G * 45
=> 336D = 315G
Simplifying gives:
16D = 15G
Final Ratio:
D : G = 15 : 16
Answer: 15:16
