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# Ratio proportion sum doubt

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(@soham)
Posts: 131
Estimable Member
Topic starter

A movie was screened for 3 days ?Monday, Tuesday and Wednesday. The respective ratio between the number of spectators onMonday, Tuesday and Wednesday was 2:3:5 and the price charged for three days was in the respective ratio 2 : 3 : 4. If thedifference between the amount earned on Tuesday and Wednesday was Rs. 8800, what was the total amount earned in all threedays?

Posted : 29/09/2020 6:25 pm
(@rahul)
Posts: 825
Prominent Member Admin

Let the number of spectators on Monday, Tuesday and Wednesday be 2p, 3p and 5p respectively.
Let the price charged on Monday, Tuesday and Wednesday be 2q, 3q and 4q respectively.
According to the question,
4q × 5p × 3p = 8800
⇒ 20pq - 9pq = 8800
⇒ 11pq = 8800
⇒ pq = 800
Now, total amount earned on all three days
= 4pq + 9pq + 20pq
= 4 × 800 + 9 × 800 + 20 × 800
= Rs. (3200 + 7200 + 16000)
= Rs. 26400

Posted : 29/09/2020 6:25 pm
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