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Divide ₹ 2602 between M and N, so that the amount of M after 7 yr is equal to the amount of N after 9 yr, the interest being compounded at 4% pa.
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- ₹ 1352, ₹ 1250
- ₹ 1400, ₹ 1350
- ₹1415, ₹1300
- ₹1500, ₹1450
Correct Option: A
Let the first part be ₹ M .
Then , second part = (2602 - M)
According to the question,
M(1 + 4/100)4 = (2602 - M) (1+4/100)9
⇒ M/(2602 - M) = [(1 + 4/100)9]/[(1 + 4/100)7]
⇒ M/(2602 - M) = (1 + 4/100)2 = (26/25) x (26/25) = 676/625
⇒ 625M = 676 x 2602 - 676M
⇒ 1301M = 676 x 2602
∴ M = (676 x 2602)/1301 = 676 x 2 = 1352
∴ The two parts are ₹ 1352 and ₹ (2602 - 1352) = ₹ 1250
