CLAT Quantitative Techniques: Three Friends

Three friends Gowri, Madan and Abhishek who run YouTube channels organized a party. On the day of the party, Abhishek and Madan had a total of 350 subscribers across their channels. Madan and Gowri had a total of 400 subscribers across their channels.

The number of subscribers in each of their channels increases by a fixed amount each day and no one unsubscribes (i.e., leaves) their channels.

The trio had met 50 days before the party to celebrate the occasion of Gowri’s channel reaching 100 subscribers. It is known that Gowri’s channel gains 1 subscriber per day. Madan’s channel gains 4 times as many subscribers as Gowri’s channel per day. At the time of this meeting 50 days ago, total subscriber count across all three channels was 150.

The trio decide that they’ll start off on a trip to Goa the day after their combined subscriber count reaches 1000, when will they start this trip?

We know from the question that Gowri adds 1 subscriber per day and Madan adds 4 subscribers per day. Further we calculated in question 1 that Abhishek adds 2 subscribers per day.

So in total, the 3 channels add 4+2+1 = 7 subscribers per day. They already had 500 subscribers on the day of the party. They need 500 more to reach 1000 subscribers. Therefore, it would take them 500/7 = 71.42 days.

Since they start on the day after they reach 1000 subscribers, they’ll start on the 72nd day after the party.

Answer: B) 72nd day after the party

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