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A father decided to distribute gold coins among his three sons avneet, srijeet and srikant in the ratio of 3 : 4 : 5, but mistakenly distributed in the ratio of 4 : 5 : 6 and srikant received less/more gold coins than he was supposed to values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true:

i. 1200, 20
ii. 900, 15
iii. 1500, 30

A. only i
B. only ii
C. only iii
D. only i and ii
E. only i and iii

User Afarazit
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1 Answer

6 votes

Final answer:

To determine if Srikant received less or more gold coins than intended, we compare the actual distribution with the intended distribution.

By finding the common multiple of the ratios, we can determine how many gold coins each son was supposed to receive. Comparing the values, we can determine if Srikant received less or more coins.

, the correct option is D. only i and ii.

Step-by-step explanation:

To determine if Srikant received less or more gold coins than he was supposed to, we need to compare the ratios of the actual distribution (4:5:6) with the intended distribution (3:4:5). To do this, we can find the common multiple of both ratios and compare the number of gold coins each son was supposed to receive in both scenarios.

Let's find the common multiple of 3, 4, and 5, which is 60. In the intended distribution, Avneet was supposed to receive (3/12) * 60 = 15 gold coins, Srijeet was supposed to receive (4/12) * 60 = 20 gold coins, and Srikant was supposed to receive (5/12) * 60 = 25 gold coins.

In the actual distribution, Avneet received (4/15) * 60 = 16 gold coins, Srijeet received (5/15) * 60 = 20 gold coins, and Srikant received (6/15) * 60 = 24 gold coins. Therefore, Srikant received less gold coins than he was supposed to.

The values that would fill the blanks in the same order to make the statement true are: i. 1200, 20; ii. 900, 15. Therefore, the correct option is D. only i and ii.

User Kiya
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8.1k points