A motorcycle has a scrap value of Rs.… - CUET UG 2025 Mathematics PYQ

CUET UG 2025 — Mathematics Statistics & Applications

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A motorcycle has a scrap value of Rs. 22,500 after 15 years of its purchase. If the annual depreciation charge is Rs. 8,500, then the original cost by linear method is:

Official previous-year question

Held on 21 May 2025 · Verified 13 Jul 2026.

Options

A
Rs. 1,20,000
B
Rs. 1,50,000
C
Rs. 1,25,000
D
Rs. 1,30,000

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Solution

Given $A = \begin{bmatrix} 4 & 3 \\ 2 & -1 \\ 1 & 0 \end{bmatrix}$ and $B^T = \begin{bmatrix} 1 & 2 & 3 \\ 2 & 1 & -1 \end{bmatrix}$ .

Matrix $A$ is a $3 \times 2$ matrix.

Matrix $B^T$ is a $2 \times 3$ matrix.

To find $B$ , transpose $B^T$ by converting rows to columns.

Row 1 of $B^T$ : $[1, 2, 3]$ becomes Column 1 of $B$

Row 2 of $B^T$ : $[2, 1, -1]$ becomes Column 2 of $B$

$B = \begin{bmatrix} 1 & 2 \\ 2 & 1 \\ 3 & -1 \end{bmatrix}$

Both $A$ and $B$ are $3 \times 2$ matrices. Subtract corresponding elements:

$A - B = \begin{bmatrix} 4 & 3 \\ 2 & -1 \\ 1 & 0 \end{bmatrix} - \begin{bmatrix} 1 & 2 \\ 2 & 1 \\ 3 & -1 \end{bmatrix}$

$A - B = \begin{bmatrix} 4-1 & 3-2 \\ 2-2 & -1-1 \\ 1-3 & 0-(-1) \end{bmatrix}$

$A - B = \begin{bmatrix} 3 & 1 \\ 0 & -2 \\ -2 & 1 \end{bmatrix}$

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