High School

Sachin invested ₹ 5000 for the 1st year, ₹ 7000 for the 2nd year, and ₹ 9000 in the 3rd year in the National Savings Certificate scheme. How much amount did he invest in 12 years?

A. ₹ 36,000
B. ₹ 45,000
C. ₹ 54,000
D. ₹ 60,000

Answer :

Final answer:

Sachin invested ₹84,000 in the National Savings Certificate scheme over 12 years.

Explanation:

To find out how much Sachin invested in 12 years, we need to add up the investments made in each individual year. The investments for the three years are ₹5000, ₹7000, and ₹9000. To find the total amount invested, we can sum these amounts: ₹5000 + ₹7000 + ₹9000 = ₹21,000. So, Sachin invested ₹21,000 in 3 years.

Since this amount is for 3 years, we can use this as a ratio to calculate the amount invested in 12 years. To do this, we can set up a proportion: 3 years is to ₹21000 as 12 years is to 'x'. We can solve this proportion using cross multiplication: 3 * 'x' = 12 * ₹21000. Simplifying, we get 'x' = 12 * ₹21000 / 3 = ₹84,000. Therefore, the amount Sachin invested in 12 years is ₹84,000.

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