If 20% of the visitors to Kullu on Tuesday are foreigners and 40% of the visitors to Manali on Friday are foreigners, then what is the total number of visitors to Kullu on Tuesday who are not foreigners and to Manali on Friday who are foreigners?
- AOption (a)
920
- BOption (b)
776
- COption (c)
984
- DOption (d)
844
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Correct answer
776
Why this answer is correct
Given:
Total visitors to Kullu and Manali = 4000
Visitors to Kullu till Tuesday = 1060
Visitors to Kullu till Monday = 360
Visitors to Manali till Friday = Total visitors - Visitors to Kullu till Friday
Visitors to Kullu on Tuesday = Visitors to Kullu till Tuesday - Visitors to Kullu till Monday
Percentage of foreigners visiting Kullu on Tuesday = 20%
Percentage of foreigners visiting Manali on Friday = 40%
Formula used:
Foreigners in Kullu on Tuesday = (Visitors to Kullu on Tuesday) × (Percentage of foreigners visiting Kullu on Tuesday)
Foreigners in Manali on Friday = (Visitors to Manali on Friday) × (Percentage of foreigners visiting Manali on Friday)
Non-foreigners in Kullu on Tuesday = Visitors to Kullu on Tuesday - Foreigners in Kullu on Tuesday
Calculations:
Visitors to Kullu on Tuesday = 1060 - 360
⇒ Visitors to Kullu on Tuesday = 700
Foreigners in Kullu on Tuesday = 700 × 20%
⇒ Foreigners in Kullu on Tuesday = 700 × 0.2
⇒ Foreigners in Kullu on Tuesday = 140
Non-foreigners in Kullu on Tuesday = 700 - 140
⇒ Non-foreigners in Kullu on Tuesday = 560
Visitors to Manali till Friday = 4000 - 1960
⇒ Visitors to Manali till Friday = 2040
Visitors to Manali and Kullu till Thursday = 4000 × 80/100 = 3200
Visitors to Manali till Thursday = 3200 - 1700 = 1500
Visitors to Manali on Friday = Visitors to Manali till Friday - Visitors to Manali till Thursday
⇒ 2040 - 1500 = 540
Foreigners in Manali on Friday = 540 × 40%
⇒ Foreigners in Manali on Friday = 540 × 0.4
⇒ Foreigners in Manali on Friday = 216
Total number of visitors to Kullu on Tuesday who are not foreigners and to Manali on Friday who are foreigners,
= 216 + 560 = 776
∴ The correct answer is 776.