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Divide Rs 70 in the ratio of 2.5:

a) Rs 20 and Rs 50
b) Rs 25 and Rs 45
c) Rs 30 and Rs 40
d) Rs 35 and Rs 35

1 Answer

2 votes

Final answer:

To divide Rs 70 in the ratio of 2.5, we adjust the ratio to avoid decimals and find that each of the 5 parts is Rs 14. Option d) Rs 35 and Rs 35 is correct as each Rs 35 is 2.5 parts of the whole and adds up to the total of Rs 70.

Step-by-step explanation:

To divide Rs 70 in the ratio of 2.5, we first assume the ratio 2.5 represents the parts the total amount needs to be divided into. To make the math simpler, let's multiply this ratio by 2 to avoid decimals, getting a ratio of 5. So we are splitting the total amount into 5 equal parts. Each part is Rs 70 divided by 5, which is Rs 14. Now, we need to determine which pair of amounts can be formed by adding up some of these parts and equals the total of Rs 70.

  • a) Rs 20 and Rs 50 don't work since 20 is not a multiple of 14 and neither is 50 when added to 20.
  • b) Rs 25 and Rs 45 also don't work for similar reasons.
  • c) Rs 30 and Rs 40 don't work as well – 30 isn't a multiple of 14 nor does 30 plus 40 equal 70.
  • d) Rs 35 and Rs 35 fit the bill perfectly since Rs 35 is exactly 2.5 times the value of each part (14) and adding them up equates to Rs 70.

Therefore, the answer is d) Rs 35 and Rs 35.

User Patrick Gotthard
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