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.

On the last day of the trip, they received a call from Put Sambar (a digital media publishing house), which was impressed by their Goan exploits and offered to pay the trio Rs.1,00,000 + 12.3% GST per month to be split amongst them on the basis of the number of subscribers they each had at that moment(all 3 of them had already gained their share of subscribers for the day). The trio accepted this offer and the first payment was made the same day. How much did Gowri receive?

We’ve calculated the total number of subscribers Madan had at the end of the trip to be 606

Similarly, lets calculate the number of subscribers Abhishek and Gowri would’ve had at the end of the trip:

Total no. of subscribers per channel = No.of subscribers on the day of party + 71 * (subscribers added per day) + 9 * (2x subscribers added per day)

Abhishek: 100 + (71*2) + (9*4) = 278
Gowri: 150 + (71*1) + (9*2) = 239
Total number of subscribers across all 3 channels = 606+278+239 = 1123.
Amount offered = 1,00,000 + 12.3% GST = 1,12,300
Therefore, amount offered per subscriber = 112300/1123 = 100
Amount received by Gowri = 239*100 = 23900

Answer: C) 23900

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