Maharashtra Board Class 6 Maths Chapter 14 Banks and Simple Interest Set 35 Solutions

Question 1. At a rate of 10 p.c.p.a., what would be the interest for one year on Rs 6000?
Answer: Solution:
Principal Amount = Rs 6000
Rate of Interest = 10 p.c.p.a.
Let interest on principal Rs 6000 be Rs x.
By taking ratio of the interest to the principal for both, we obtain an equation
\( \frac{x}{6000} = \frac{10}{100} \)
\( \frac{x}{6000} \times 6000 = \frac{10}{100} \times 6000 \)
\( x = \frac{10}{100} \times \frac{6000}{1} = \frac{10 \times 6000}{100} = \text{Rs } 600 \)
The interest for one year is Rs 600.
In simple words: This question asks to calculate the simple interest for one year on a principal amount, given the annual interest rate. We use the ratio of interest to principal to find the unknown interest 'x'.

🎯 Exam Tip: Remember to correctly identify the principal amount and the rate of interest (p.c.p.a. - per cent per annum) to calculate simple interest accurately. Ensure calculations are precise.

Question 2. Mahesh deposited Rs 8650 in a bank at a rate of 6 p.c.p.a. How much money will he get at the end of the year in all?
Answer: Solution:
Principal Amount = Rs 8650
Rate of interest = 6 p.c.p.a.
Let interest on principal Rs 8650 be Rs x
By taking ratio of the interest to the principal for both, we obtain an equation
\( \frac{x}{8650} = \frac{6}{100} \)
\( \frac{x}{8650} \times 8650 = \frac{6}{100} \times 8650 \)
\( x = \frac{6}{100} \times \frac{8650}{1} = \frac{6 \times 8650}{100} = 519 \)
Amount received at the end of the year = Principal amount + Interest
= Rs 8650 + Rs 519
= Rs 9169
Mahesh will get Rs 9169 at the end of the year.
In simple words: This problem involves calculating the simple interest earned on a deposit and then adding it to the principal to find the total amount Mahesh will receive after one year.

🎯 Exam Tip: When calculating the total amount returned, always remember to add the calculated interest to the original principal amount. Double-check your arithmetic for both interest calculation and the final sum.

Question 3. Ahmad Chacha borrowed Rs 25,000 at 12 p.c.p.a. for a year. What amount will he have to return to the bank at the end of the year?
Answer: Solution:
Principal Amount = Rs 25,000
Rate of interest = 12 p.c.p.a.
Let interest on principal Rs 25,000 be Rs x
By taking ratio of the interest to the principal for both, we obtain an equation
\( \frac{x}{25000} = \frac{12}{100} \)
\( \frac{x}{25000} \times 25000 = \frac{12}{100} \times 25000 \)
\( x = \frac{12}{100} \times \frac{25000}{1} = \frac{12 \times 25000}{100} = \text{Rs } 3000 \)
Amount to be returned to the bank at the end of the year = Principal Amount + Interest
= Rs 25,000 + Rs 3,000
= Rs 28,000
Ahmad Chacha has to return Rs 28,000 to the bank at the end of the year.
In simple words: This question requires calculating the simple interest on a borrowed amount and then finding the total amount (principal plus interest) that needs to be repaid to the bank.

🎯 Exam Tip: For loan problems, ensure you calculate the total repayment by adding the interest to the principal. Clearly show the steps for calculating interest using the given rate and time.

Question 4. Kisanrao wanted to make a pond in his field. He borrowed Rs 35,250 from a bank at an interest rate of 6 p.c.p.a. How much interest will he have to pay to the bank at the end of the year?
Answer: Solution:
Principal Amount = Rs 35,250
Rate of interest = 6 p.c.p.a.
Let interest on principal Rs 35,250 be Rs x
By taking ratio of the interest to the principal for both, we obtain an equation
\( \frac{x}{35250} = \frac{6}{100} \)
\( \frac{x}{35250} \times 35250 = \frac{6}{100} \times 35250 \)
\( x = \frac{6}{100} \times \frac{35250}{1} = \frac{6 \times 35250}{100} = 2115 \)
Kisanrao will have to pay an interest of Rs 2115 to the bank at the end of the year.
In simple words: This problem asks for the simple interest amount only, which Kisanrao needs to pay on the borrowed sum for one year at the specified annual interest rate.

🎯 Exam Tip: Pay close attention to whether the question asks for the total amount (principal + interest) or just the interest amount. Use the formula for simple interest (P*R*T/100) or the ratio method consistently.
 

Maharashtra Board Class 6 Maths Chapter 14 Banks And Simple Interest Practice Set 35 Intext Questions And Activities
 

Question 1. Study the figure given below and answer the following questions (Textbook pg. no. 74)
ℹ️ चित्र व्याख्या (Diagram Explanation): यह चित्र वित्तीय लेनदेन को दर्शाता है। इसमें पैसे के एक केंद्रीय थैले (Rs प्रतीक के साथ) को छात्रों, किसानों, व्यापारियों-व्यवसायियों, उद्योगपतियों-पेशेवरों और महिला बचत समूहों जैसे विभिन्न समूहों से जोड़ने वाले दो-तरफा तीर दिखाए गए हैं। यह दर्शाता है कि ये सभी समूह बैंक सेवाओं का उपयोग करके पैसे का लेन-देन करते हैं।
1. In the above picture, who are the people shown to be using bank services?
2. What does the symbol on the bag in the centre stand for?
3. What do the arrows in the given picture tell you?
Answer: Solution:
1. Students, farmers, Women's savings groups, industrialists / professionals and traders / businessmen are shown to be using bank services.
2. The symbol on the bag in the center stands for rupees.
3. The arrows tell us about the monetary transactions taking place. In simple words, it explains the give and take relationship.
In simple words: This question examines the student's understanding of a diagram illustrating various entities involved in financial transactions with a bank, focusing on who uses bank services, the currency symbol, and the meaning of the directional arrows.

🎯 Exam Tip: Carefully observe all elements of a given diagram, including labels, symbols, and arrows, to accurately interpret the information it conveys. Ensure your answers are precise and directly address each part of the question.

Question 2. Visit the Bank (Textbook pg. no. 74)
• Teachers should organise a visit to a bank. Encourage the children to obtain some preliminary information about banks.
• Help them to fill some bank forms and slips for withdrawals and deposits.
• If there is no bank nearby, teachers could obtain specimen forms and get the children to fill them in class.
• Give a demonstration of banking transactions by setting up a mock bank in the school.
• Invite participation of parents who work in banks or other bank employees to give the children more detailed information about banking.
Answer: Solution:
(Students should attempt this activity with the help of their teacher/parents.)
In simple words: This is a practical activity designed to give students hands-on experience and information about banking by visiting a bank, filling out forms, and learning about banking transactions.

🎯 Exam Tip: For activity-based questions, describe the objective and the expected outcome. Emphasize the importance of experiential learning and seeking guidance from teachers or parents for practical tasks.