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प्रश्न
A farmer borrows Rs.1,000 and agrees to repay with a total interest of Rs. 140 in 12 installments, each installment being less that the preceding installment by Rs. 10. What should be his first installment?
उत्तर
As each installment being less that the preceding installment by Rs. 10 the
installments are in A.P.
S12 = 1000 + 140 = 1140
n = 12, d = −10
`s_n=n/2[2a+(n-1)d]`
`s_12=12/2[2a+(11)(-10)]`
`1140=6[2a-110]`
`1140/6=[2a-110]`
190 = [2a − 110]
2a = 190 + 110
2a = 300
a = `300/2`
a = 150
The first installment = Rs. 150.
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| Treasure Hunt is an exciting and adventurous game where participants follow a series of clues/numbers/maps to discover hidden treasure. Players engage in a thrilling quest, solving puzzles and riddles to unveil the location of the coveted prize. While playing a treasure hunt game, some clues (numbers) are hidden in various spots collectively forming an A.P. If the number on the nth spot is 20 + 4n, then answer the following questions to help the players in spotting the clues: |
- Which number is on first spot? 1
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OR - What is the sum of all the numbers on the first 10 spots? 2
- Which spot is numbered as 112? 2
- Which number is on the (n – 2)th spot? 1
