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Mr. Bajaj needs Rs. 30,000 after 2 years. What least money (in multiple of 5) must he deposit every month in a recurring deposit account to get required money at the end of 2 years - Mathematics

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प्रश्न

Mr. Bajaj needs Rs. 30,000 after 2 years. What least money (in multiple of 5) must he deposit every month in a recurring deposit account to get required money at the end of 2 years, the rate of interest being 8% p.a.?

योग

उत्तर

Let installment per month = Rs. P

Number of months (n) = 24

Rate of interest = 8% p.a

∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`

= `P xx (24(24 + 1))/(2 xx 12) xx 8/100`

= `P xx 600/24 xx 8/100`

= Rs. 2P

Maturity value = Rs. (P × 24) + Rs. 2P = Rs. 26P

Given maturity value = Rs. 30,000

Then 26P = Rs. 30,000

`\implies` P = Rs. `30000/26`

= Rs. 1153.84

= Rs. 1155  ...(Multiple of 5)

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अध्याय 2: Banking (Recurring Deposit Account) - Exercise 2 (B) [पृष्ठ २४]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 2 Banking (Recurring Deposit Account)
Exercise 2 (B) | Q 4 | पृष्ठ २४

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