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Let Raju's age at the time of his marriage = X years

Then from given data

=> X + 8 = 6/5 X

X = 40.

Since got married 8 years ago, his present age  = 48

His sister is 10 years younger => 48 - 10 = 38 years.

i. The 'Swachh Survekshan 2017' survey results were recently announced by Urban Development Minister M Venkaiah Naidu. The total 434 cities of India were surveyed. Indore in Madhya Pradesh is India’s cleanest city while Gonda in Uttar Pradesh is the dirtiest.

ii. Gujarat has the maximum of 12 cities among the top 50 clean cities, closely followed by Madhya Pradesh with 11 and Andhra Pradesh with eight. Uttar Pradesh accounted for half of the bottom 50 cities in the cleanliness ranking.

Top 10 clean cities of India in 2017 are:

Indore (MP)
Bhopal (MP)
Visakhapatnam (Andhra Pradesh)
Surat (Gujarat)
Mysuru (Karnataka)
Tiruchirapally (Tamil Nadu)
New Delhi Municipal Council (New Delhi)
Navi Mumbai (Mumbai)
Tirupati (Andhra Pradesh)
Vadodara (Gujarat).

Top 5 Dirtiest cities of India (with Rank) in 2017 are:

Gonda (UP)- 434,
Bhusawal (Maharashtra)- 433,
Bagaha (Bihar)- 432,
Hardoi (Uttarakhand)- 431,
Katihar (Bihar)- 430.

We know that I = PTR/100

11 = (2x30xR)/100

R = 18.333 %

The number of exhaustive events = 100 C₁ = 100.

We have 25 primes from 1 to 100.

Number of favourable cases are 75.

Required probability = 75/50 = 3/2.

I = (600x11x5)/100 = 330 Paise = Rs. 3.30