# If we divide 1690 into three parts such that the ratio of these parts is equal to 1/2 : 1/3 : 1/4, then find out the actual values that result in this ratio.

If we divide 1690 into three parts such that the ratio of these parts is equal to 1/2 : 1/3 : 1/4, then find out the actual values that result in this ratio.

a. 100, 200, 300

b. 780, 520, 390

c. 700, 600, 690

d. 600, 780, 310

e. None of the above

Your Correct answer: **b**

**Read this Explanation very carefully According to the question, Hope you will get clear Idea:**

According to the question,

The ratio of the parts in which 1690 is divided = 1/2 : 1/3 : 1/4…………i

Let the actual numbers represented by the parts = a/2, a/3 and a/4 respectively ….…ii

Then, the sum of these parts = a/2 + a/3 + a/4 = 13a/12 …………….iii

But, according to the data given in the question, the actual number = 1690 …….iv

∴ From equation iii and equation iv, we can say that, 13a/12 = 1690 …………v

∴ a = (1690 * 12) / 13

∴ a = 1560

∴ The value of the first part = 1/2 * 1560 = 780

∴ The value of the second part = 1/3 * 1560 = 520

∴ The value of the third part = 1/4 * 1560 = 390

Hence, the correct answer is option b.

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