QUESTION

CSAT

Medium

Maths

Prelims 2014

For a charity show, the total tickets sold were 420. Half of these tickets were sold at the rate of Rs. 5 each, one-third at the rate of Rs. 3 each and the rest for Rs. 2 each. What was the total amount received?

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Explanation

Total tickets sold = $420$ .

Half of these tickets were sold at Rs. $5$ each: Number of tickets sold at Rs. $5 = 420 / 2 = 210$ . Amount received = $210 \times 5$ = Rs. $1,050$ .

One-third of the tickets were sold at Rs. $3$ each: Number of tickets sold at Rs. $3 = 420 / 3 = 140$ . Amount received = $140 \times 3$ = Rs. $420$ .

The rest of the tickets were sold at Rs. $2$ each: Number of tickets sold at Rs. $2 = 420 - 210 - 140 = 70$ . Amount received = $70 \times 2$ = Rs. $140$ .