Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 33

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Q. No.
Value Points
Marks
OR
Given ,to prove construction & correct figure
1/2 x 4 = 2
Correct proof
2
Figure
½
OPO' is a straight line
∴
A = ∠
∠
∠
∠
∠
Since OA = OP = r
1, Similarly
B =
2
½
1
s) ∴ A =
∠
∠
∠
∠
But
1 =
2 (vert. Opp.
B
½
But these are alternate angles ∴ OA||O' B
½
Q25. Taxable income = Rs. 145000 - 30,000 = Rs. 1,15,000
½
55000 x 20
Income tax = Rs. [1000+
] = Rs. 12,000
1
100
Annual savings = Rs [2000 x 12 + 15000] = Rs. 39,000
1
Rebate = 20% of Rs. 39000
= Rs. 7800
1
∴ Tax = Rs. (12000 — 7800) = Rs. 4200
1
Income tax paid for first 11 months = Rs. (250 x 11) = Rs. 2750
1
∴ Income tax to be paid in the last month = Rs. (4200— 2750) = Rs. 1450
½
168

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