1.

A Paddler buys goods at the rate of Rs. 70 per good. The particular good is part of an overall collection and the value is linked to the number of items that are already on the market. So, the paddler sells the first good for Rs. 7, the second one for Rs. 14, third for Rs. 21…and so on. If he wants to make an overall profit of at least 30%, what is the minimum number of goods he should sell?1). 352). 253). 224). 32

Answer»

Let the number of GOODS he buys be ‘n’

Cost price of one good = Rs. 70 

TOTAL Cost price of n goods = Rs. 70n 

The paddler SELLS the first good for Rs. 7, the second one for Rs. 14, third for Rs. 21…and so on.

Total selling price = 2 + 4 + 6 + 8 ….n terms 

According to the given information: 

Total selling price should be at least 30% more than total Cost price 

Total selling price = 130% of Rs. 70n 

⇒ 7 + 14 + 21 + 28 ….n terms ≥ 1.3 × 70n 

⇒ 7 (1 + 2 + 3 + ….n terms) ≥ 91n 

$(\Rightarrow {\rm{\;}}7\left( {\frac{{n\left( {n\; + \;1} \right)}}{2}} \right) \ge {\rm{\;}}91{\rm{n\;}})$

⇒ 7n2 + 7n ≥ 182n 

⇒ 7n2 - 175n ≥ 0 

⇒ n ≥ 25 

∴ He should sell a minimum of 25 goods.



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