If 7\% of S.P. is equal to 8\% of C.P. and if 9\% of S.P. is Rs. 2 more than 10\% of C.P, then find C.P. and S.P.: - Quantitative Aptitude MCQ Competitive Exam 2026 | ExamTest.live | ExamTest.live

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If 7% of S.P. is equal to 8% of C.P. and if 9% of S.P. is Rs. 2 more than 10% of C.P, then find C.P. and S.P.:

A $800, 950$
B $350, 700$
C $350, 400$
D $700, 800$

Solution & Step-by-step Explanation

From the first condition: \frac{7}{100} \times S.P. = \frac{8}{100} \times C.P. ⟹ 7 S.P. = 8 C.P. ⟹ S.P. = \frac{8}{7} C.P. From the second condition: \frac{9}{100} \times S.P. = \frac{10}{100} \times C.P. + 2 9 S.P. - 10 C.P. = 200 Substitute S.P. = \frac{8}{7} C.P. into the equation: 9 (\frac{8}{7} C.P.) - 10 C.P. = 200 \frac{72}{7} C.P. - 10 C.P. = 200 \frac{72 C.P. - 70 C.P.}{7} = 200 2 C.P. = 1400 ⟹ C.P. = 700 Now find S.P. : S.P. = \frac{8}{7} \times 700 = 800 Thus, C.P. = Rs. 700 and S.P. = Rs. 800 .

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If 7% of S.P. is equal to 8% of C.P. and if 9% of S.P. is Rs. 2 more than 10% of C.P, then find C.P. and S.P.:

A

800, 950

B

350, 700

C

350, 400

D

700, 800

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