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Directions (103-105): Avni and Beena started a business by investing Rs. P and Rs.1.2P respectively. After ‘x’ months, Avni withdrew her entire amount and Chetna entered into business. After end of 9 months, Beena increased her initial investment by 25%. On completion of one year, share of Avni and Beena in entire profit was Rs.14200. If Beena would have increased her investment after ‘x’ months, then ratio of share of Avni and Beena in entire profit would have been 10: 27 respectively. If a man invested Rs. 1.2P for x years on simple interest at the rate of 2.5x % p.a. and received total interest of Rs. 6480, then find P?
- 5400
- 8000
- 7200
- 6000
Correct answer: 6000
Solution
Use the simple interest formula SI = PRT/100 with principal 1.2P, time x years, and rate 2.5x%. Substituting the given interest and x = 6 gives P = 6000.
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