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For female, fees of the workshop is ₹ 200 and for male is ₹ 250. Then how much amount earned by company from Chennai?
₹ 3,60,000
₹ 2,50,000
₹ 2,90,000
₹ 3,90,000
None of the above
₹ 3,90,000
Since the ratio is 1:2 (1 part male, 2 parts female), calculate 1/3 and 2/3 of 1800 immediately: 600 males and 1200 females. Then compute 600×250+1200×200.
For Chennai: Total registrations = 1800, Ratio of male to female = 3:6 = 1:2. Fees: Male = ₹ 250, Female = ₹ 200.
Total Earnings=(Number of Males×FeeM)+(Number of Females×FeeF)
Since the ratio is 1:2 (1 part male, 2 parts female), calculate 1/3 and 2/3 of 1800 immediately: 600 males and 1200 females. Then compute 600×250+1200×200.
Students often miscalculate the ratio 3:6, reducing it to 1:2 but accidentally swapping the values for male and female counts.
Simplify the ratio
The given ratio for Chennai is 3:6. Dividing both by 3, we get the simplified ratio 1:2.
1:2
Calculate individual counts
Sum of ratio parts = 1+2=3. Number of males = 31×1800=600. Number of females = 32×1800=1200.
Males=600,Females=1200
Calculate total earnings
Applying the earnings formula: Earnings = (600×250)+(1200×200). This equals 150,000+240,000.
150,000+240,000=390,000
D is correct because the total earnings from Chennai is ₹ 3,90,000 calculated by splitting 1800 into 600 males and 1200 females and applying respective fees.
Always simplify ratios before splitting quantities to reduce computational complexity; this is a standard practice in Mixture and Alligation problems.
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