A total of ₹2,00,000 is divided into two parts for investing in different banks on simple interest. One yields 4% p.a. while the other yields 6% p.a. If the total interest at the end of one year is equivalent to 4.7% p.a. on the whole amount, the amount (in ₹) invested in each bank is ________, respectively.

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Let the amount invested at 4% be x and at 6% be (200000 - x).

The total interest for one year is given by:
Interest = Principal × Rate × Time

Interest from first bank = (x × 4 × 1)/100 = 0.04x
Interest from second bank = ((200000 - x) × 6 × 1)/100 = 0.06(200000 - x) = 12000 - 0.06x

Total interest = 0.04x + 12000 - 0.06x = 12000 - 0.02x

Given total interest rate on whole amount is 4.7%, so total interest = 4.7% of 200000 = (4.7/100) × 200000 = 9400

Equate total interest:
12000 - 0.02x = 9400

0.02x = 12000 - 9400 = 2600

x = 2600 / 0.02 = 130000

Amount invested at 4% = ₹1,30,000
Amount invested at 6% = 200000 - 130000 = ₹70,000

Hence, the amounts invested are ₹1,30,000 and ₹70,000 respectively.

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