Class 12 CBSE Applied Maths Number Quantification & Numerical Applications Exercise 1.5

Class 12 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.

Class 12 CBSE Applied Maths Number Quantification & Numerical Applications Exercise 1.5

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Q1. A and B invest ₹40000 and ₹50000 respectively in a business for 3 years. Find the ratio of their profits.

Q2. Suresh started a business with ₹450000 and is joined later on by Ramesh with ₹600000. After how many months did Ramesh join the business, if the profit at the end of a year is divided in the ratio 3:2 between Suresh and Ramesh respectively?

Q3. Sandeep and Nalnish invested in a business in the ratio 5: 4. If 10% of the total profit goes to charity and Sandeep's share in profit is 2000, find the total profit.

Q4. Amit started a business with 350000. After 4 months Vikas joined the business with Amit as a partner. If the profit is divided between Amit and Vikas in the ratio 5: 4 respectively, find the investment of Vikas in the capital.

Q5. Suyash and Pankaj started a business together. Suyash invested ₹4000 for 5 months while Pankaj invested for the whole year. If Suyash gets ₹3200 as his share of profit out of the total profit of ₹14720, find the amount invested by Pankaj.

Q6. P, Q and R enter into a partnership firm, P invested 1/4 of the total investment, Q invested 1/3 of the total investment. If they get a profit of ₹10800 at the end of the year, find their shares of profit.

Q8. A and B started a partnership business by investing in the ratio 3: 5 respectively. After 6 months C joined them with an amount equal to that of B. In what ratio should the profit at the end of a year be distributed among A, B and C respectively?

Q9. Neeru and Meenu started a business by investing ₹200000 and ₹150000 respectively. After 6 months Shalu joined them with ₹250000. If the total profit at the end of one year is ₹38000, find Meenu's share in profit.

Q10. A started a business by investing ₹750000. B joined A in the business after 6 months by investing ₹1000000 and after another 6 months C joined A and B by investing ₹1200000. Find the ratio in which they should share the profit 2 years after A started the business.

Q11. A, B and C together started a business by investing a total amount of ₹900000. A invested ₹200000 more than B and B invested ₹100000 less than C. If the profit at the end of a year is ₹27000, find C's share in the profit.

Q12. Three partners A, B and C shared the profit in a business in the ratio 8:9: 10 respectively. If A, B and C invested the money for 12 months, 9 months and 6 months respectively, find the ratio of their investments respectively.

Q14. A, B and C enter into partnership in the ratio 5/2:4/3:7/6. After 6 months B increases his investment by 25%. If the total profit at the end of a year is ₹62000, find A's share in the profit.

Q15. A, B and C started a business and invest in the ratio 4: 5: 6 respectively. After 6 months A withdrew 25% of his investment, B withdrew 20% of his investment and C increases 1/6 of his investment. If the profit at the end of a year is ₹87000, find C's share in the profit.

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