# Divide Rs. 2379 into three parts so that their amounts after 2, 3 and 4 years respectively may be equal,

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Divide Rs. 2379 into three parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum and find the maximum amount being distributed among the three part individually.

(A) 926

(B) 828

(C) 792

(D) 982

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Correct option (B) 828

Explanation:

Amount of 1st part = 110/100 x 1st part

Amount of 2nd part = 115 x 100 x 2nd part

Amount of 3rd part = 120/100 x 3rd part

According to the question, these amounts are equal

∴ 110 × 1st part = 115 × 2nd part = 120× 3rd par

∴ 1 st part : 2nd part : 3rd part = 1/110 : 1/115 : 1/120

= 276 : 264 : 253

Hence, dividing Rs. 2379 into three parts in the ratio 276 : 264 : 253, we have 1st part = Rs. 828, 2nd part = Rs. 792, 3rd part = Rs. 759