Finding Basic Fare and Reservation Charge Video Explanation Question A half ticket costs half the full fare, but the reservation charge is same for both. One full reserved ticket costs ₹216. One full and one half reserved ticket together cost ₹327. Find the basic full fare and the reservation charge. Solution Step 1: Let Variables […]

Finding Number of Students in Two Rooms Video Explanation Question There are two examination rooms A and B. If 10 students are sent from A to B, both rooms have equal students. If 20 students are sent from B to A, then A has double the students of B. Find the number of students in

Finding Number of ₹50 and ₹100 Notes Video Explanation Question Meena withdrew ₹2000 from a bank in ₹50 and ₹100 notes only. She received a total of 25 notes. Find how many ₹50 notes and ₹100 notes she received. Solution Step 1: Let Variables Let number of ₹50 notes = \(x\) Let number of ₹100

Men and Women Work Problem Video Explanation Question 2 women and 5 men can finish a piece of embroidery in 4 days. 3 women and 6 men can finish it in 3 days. Find the time taken by one woman alone and one man alone. Solution Step 1: Let Variables Let work done by one

Finding Two Supplementary Angles Video Explanation Question The larger of two supplementary angles exceeds the smaller by 18°. Find the two angles. Solution Step 1: Concept Sum of supplementary angles = \(180^\circ\) — Step 2: Let Variables Let smaller angle = \(x^\circ\) Let larger angle = \(y^\circ\) — Step 3: Form Equations Sum condition: \[

Finding Dimensions of a Garden Video Explanation Question Half the perimeter of a garden is 36 m. The length is 4 m more than the width. Find the dimensions of the garden. Solution Step 1: Let Variables Let length = \(x\) m Let width = \(y\) m — Step 2: Use Perimeter Concept Half perimeter

Finding Fixed Charge and Cost per Day Video Explanation Question A part of monthly hostel charges is fixed and the rest depends on the number of days food is taken. For 20 days, the charge is ₹1000. For 26 days, the charge is ₹1180. Find the fixed charge and cost of food per day. Solution

Finding Car Hire Charges Video Explanation Question The car hire charges consist of a fixed charge plus a charge per km. For 12 km, the charge is ₹89. For 20 km, the charge is ₹145. Find the charge for 30 km. Solution Step 1: Let Variables Let fixed charge = \(x\) Let charge per km

Proving the Triangle is Right Angled Video Explanation Question In triangle ABC: \[ \angle A = x^\circ,\quad \angle B = 3x^\circ,\quad \angle C = y^\circ \] Given: \[ 3y – 5x = 30 \] Prove that the triangle is right angled. Solution Step 1: Use Angle Sum Property \[ x + 3x + y =

Finding Number of Questions in the Test Video Explanation Question Yash scored 40 marks in a test, getting 3 marks for each correct answer and losing 1 mark for each wrong answer. If 4 marks were awarded for each correct answer and 2 marks deducted for each wrong answer, he would have scored 50 marks.