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A man sells 5000/- rs, 12% …

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A man sells 5000/- rs, 12% shares at 156/- and invests the proceeds partly in 8% shares at 90/- and 9% stocks at 108/-. He thereby increases his income by 70. How much of the proceeds were invested in each share.

Posted by Devagalla Satyanarayana 5 years, 6 months ago

ICSE & ISC > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 6 months ago

Explanation:

S.P of Rs. 5000 stock = Rs.(156100*5000)Rs.156100*5000= Rs. 7800.

Income from this stock = Rs.(12100*5000)Rs.12100*5000 = Rs. 600.

Let investment in 8 % stock be x and that in 9 % stock = (7800 - x).

Therefore,

(x*890)+(7800−x)*9108=[600+70]x*890+7800-x*9108=600+70

4x45+7800−x12=670⇔x=36004x45+7800-x12=670⇔x=3600

Therefore, Money invested in 8 % stock at 90 = Rs. 3600.

Money invested in 9 % at 108 = Rs. (7800-3600) = Rs. 4200.

1Thank You

ANSWER

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