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Illustrations · Illustration 9
Q.

Manu, Harry and Ali are partners in a firm sharing profits and losses equally. Harry and Ali withdrew the following amounts from the firm, for their personal use during 2019-2020.

DateHarry (₹)Ali (₹)
2019 April, 015,0007,000
July, 018,0004,000
December, 015,0005,000
March, 01, 20204,0009,000

Calculate interest on drawings if the rate of interest to be charged is 10 per cent, and the books are closed on December 31 every year.

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Four unequal withdrawals at different dates need the product method. Harry's total product is ₹1,56,000, giving interest of ₹1,300; Ali's total product is ₹1,50,000, giving interest of ₹1,250.

Concept

With different amounts withdrawn on different dates, use the product method: multiply each withdrawal by the number of months it remained outstanding, total the products, then apply Interest = Total of Products × Rate × 1/12.

Solution — Harry

DateAmount (₹)Period (months)Product (₹)
April 1, 20195,0001260,000
July 1, 20198,000972,000
December 1, 20195,000420,000
March 1, 20204,00014,000
Total1,56,000

Interest = ₹1,56,000 × 10/100 × 1/12 = ₹1,300.

Solution — Ali

DateAmount (₹)Period (months)Product (₹)
April 1, 20197,0001284,000
July 1, 20194,000936,000
December 1, 20195,000420,000
March 1, 20209,000110,000*

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