RD Sharma Chapter 3: Pairs of Linear Equations in Two Variables Exercise 3.6 Solutions
5 pens and 6 pencils together cost Rs 9 and 3 pens and 2 pencils cost Rs 5 Find the cost of 1 pen and 1 pencil. Watch Solution
7 audio cassettes and 3 video cassettes cost Rs 1110, while 5 audio cassettes and 4 video cassettes cost Rs 1350 . Find the cost of an audio cassette and a video cassette. Watch Solution
Reena has pens and pencils which together are 40 in number. If she has 5 more pencils and 5 less pens, then number of pencils would become 4 times the number of pens. Find the original number of pens and pencils. Watch Solution
4 tables and 3 chairs, together, cost Rs 2,250 and 3 tables and 4 chairs cost Rs 1950 . Find the cost of 2 chairs and 1 table. Watch Solution
3 bags and 4 pens together cost Rs 257 whereas 4 bags and 3 pens together cost Rs 324 . Find the total cost of 1 bag and 10 pens. Watch Solution
5 books and 7 pens together cost Rs 79 whereas 7 books and 5 pens together cost Rs 77 . Find the total cost of 1 book and 2 pens. Watch Solution
Jamila sold a table and a chair for ₹ 1050 , thereby making a profit of 10% on the table and 25% on the chair. If she had taken a profit of 25% on the table and 10% on the chair she would have got ₹ 1065. Find the cost price of each . Watch Solution
Susan invested certain amount of money in two schemes A and B, which offer interest at the rate of 8% per annum and 9% per annum, respectively. She received Rs. 1860 as annual interest. However, had she interchanged the amount of investments in the two schemes, she would have received Rs. 20 more as annual interest. How much money did she invest in each scheme? Watch Solution
The coach of a cricket team buys 7 bats and 6 balls for Rs. 3800. Later, he buys 3 bats and 5 balls for Rs. 1750. Find the cost of each bat and each ball. Watch Solution
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day. Watch Solution
The cost of 4 pens and 4 pencil boxes is ₹100. Three times the cost of a pen is ₹15 more than the cost of a pencil box. Form the pair of linear equations for the above situation. Find the cost of a pen and a pencil box. Watch Solution
One says, “Give me a hundred, friend! I shall then become twice as rich as you.” The other replies, “If you give me ten, I shall be six times as rich as you”.Tell me what is the amount of their respective capital? Watch Solution
A and B each have a certain number of mangoes. A says to B,”if you give 30 of your mangoes, I will have twice as many as left with you.” B replies, “if you give me 10, I will have thrice as many as left with you.” How many mangoes does each have? Watch Solution
Vijay had some bananas and he divided them into two lots A and B. He sold the first lot at the rate of Rs. 2 for 3 bananas and the second lot at the rate of Rs. 1 per banana and got a total of Rs. 400. If he had sold the first lot at the rate of Rs. 1 per banana and the second lot at the rate of Rs. 4 for 5 bananas, his total collection would have been Rs. 460. Find the total number of bananas he had. Watch Solution
On selling a T.V. at 5 % gain and a fridge at 10 % gain, a shopkeeper gains Rs 2000. But if he sells the T.V. at 10 % gain and the fridge at 5 % loss. He gains Rs 1500 on the transaction. Find the actual prices of T.V. and fridge. Watch Solution
Pair of Linear Equations in Two Variables – R.D. Sharma Class 10th Math
