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Three cousins share the cost of a birthday gift. Mohit pays twice what Kunal pays, and Sneha pays ₹90 more than Kunal. The gift costs ₹810. How many rupees does Kunal pay?

Class 8Linear Equations in One VariableLinear Equations
  • A360
  • B270
  • C180
  • D202.50

Step-by-Step Solution

Let Kunal pay ₹k. Then k + 2k + (k + 90) = 810 → 4k + 90 = 810 → 4k = 720 → k = 180. Check: 180 + 360 + 270 = 810. The trap 202.50 divides 810 by 4 without first removing Sneha's extra ₹90; 360 and 270 are Mohit's and Sneha's shares.
Answer: C) 180

Key idea: Translating word problems

Three steps:
1. **Pick a variable** for the unknown.
2. **Translate the words** into operations (sum, difference, product, quotient).
3. **Solve, then state the answer in the original units.**

Word clues: 'is/equals' = '='. 'sum' = +. 'difference' = −. 'product' = ×. 'quotient/per' = ÷. 'twice' = ×2. 'one more than' = +1. 'half of' = .

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