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Question
Sunflower and Pink Rose started partnership business on April 01, 2016 with capitals of Rs 2,50,000 and Rs 1,50,000, respectively. On October 01, 2016, they decided that their capitals should be Rs 2,00,000 each. The necessary adjustments in the capitals are made by introducing or withdrawing cash. Interest on capital is to be allowed @ 10% p.a. Calculate interest on capital as on March 31, 2017.
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Solution
Product Method
Sunflower
|
01 April 2016 to 30 September 2016 |
2,50,000 × 6 = |
15,00,000 |
|
01 October 2016 to 31 March 2017 |
2,00,000 × 6 = |
12,00,000 |
|
|
Sum of Product |
27,00,000 |
Pink Rose
|
01 April 2016 to 30 September 2016 |
1,50,000 × 6 = |
9,00,000 |
|
01 October 2016 to 31 March 2017 |
2,00,000 × 6 = |
12,00,000 |
|
|
Sum of Product |
21,00,000 |
Interest on Capital = Sum of Product x `Rate/100` x `1/12`
Interest on Sunflower's Capital = 27,00,000 x `10/100` x `1/12` = Rs. 22,500
Interest on Pink Rose's Capital = 21,00,000 x `10/100` x `1/12` = Rs. 17,500.
Alternative Method:
Simple Interest Method
Sunflower
| April 01, 2016 to September 30, 2016 | 2,50,000 x `10/100` x `6/12` | =Rs.12,500 |
| October 01, 2016 to March 31, 2017 | 2,00,000 x `10/100` x `6/12` | =Rs.10,000 |
| Interest on Sunflower’s Capital | =Rs.22,500 | |
Pink Rose
| April 01, 2016 to September 30, 2016 | 1,50,000 x `10/100` x `6/12` | =Rs.7,500 |
| October 01, 2016 to March 31, 2017 | 2,00,000 x `10/100` x `6/12` | =Rs.10,000 |
| Interest on Pink Rose’s Capital | =Rs.12,500 | |
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