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Merry got a job with salary ₹ 15000 per month. If her salary increases by ₹ 100 per month, how much would be her salary after 20 months? - Algebra

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Question

Merry got a job with salary ₹ 15000 per month. If her salary increases by ₹ 100 per month, how much would be her salary after 20 months?

Sum

Solution

Merry’s monthly salaries form an A.P.

With first term (a) = ₹ 15000 and common difference (d) = ₹ 100

Number of months (n) = 20

tn = a + (n – 1)d

∴ t20 = 15000 + (20 – 1)(100)

= 15000 + 19(100)

= 15000 + 1900

= 16900

∴ Merry’s salary after 20 months will be ₹ 16,900.

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Chapter 3: Arithmetic Progression - Q.3 (B)

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SCERT Maharashtra Algebra (Mathematics 1) [English] 10 Standard SSC
Chapter 3 Arithmetic Progression
Q.3 (B) | Q 5

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Case Study

Push-ups are a fast and effective exercise for building strength. These are helpful in almost all sports including athletics. While the push-up primarily targets the muscles of the chest, arms, and shoulders, support required from other muscles helps in toning up the whole body.


Nitesh wants to participate in the push-up challenge. He can currently make 3000 push-ups in one hour. But he wants to achieve a target of 3900 push-ups in 1 hour for which he practices regularly. With each day of practice, he is able to make 5 more push-ups in one hour as compared to the previous day. If on first day of practice he makes 3000 push-ups and continues to practice regularly till his target is achieved. Keeping the above situation in mind answer the following questions:

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