A and B do a business together. Their incomes are in the ratio 3 : 2, and their expenses are in the ratio 5 : 3. If each saves Rs. 1000, what are their incomes?
- Rs. 3000 and Rs. 2000
- Rs. 4500 and Rs. 3000
- Rs. 6000 and Rs. 4000
- Rs. 7500 and Rs. 5000
Explanation
Let A and B’s incomes be 3x and 2x, respectively.
Let their expenses be 5y and 3y, respectively.
Their savings = Income − Expense = Rs. 1000 for both.
So:
For A:
3x − 5y = 1000 → (1)
For B:
2x − 3y = 1000 → (2)
Multiply (1) by 2:
6x − 10y = 2000
Multiply (2) by 3:
6x − 9y = 3000
Now subtract:
(6x − 10y) − (6x − 9y) = 2000 − 3000
⇒ −y = −1000
⇒ y = 1000
Now plug y = 1000 into equation (1):
3x − 5(1000) = 1000
⇒ 3x = 6000
⇒ x = 2000
Now find incomes:
A's income = 3x = 6000
B's income = 2x = 4000
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اس سوال کو وضاحت کے ساتھ پڑھیں
مسعود نے ایک پلاٹ روپے میں خریدا۔ 8,000 وہ آفتاب کو 20% منافع پر پلاٹ فروخت کرتا ہے۔ آفتاب بدلے میں وہ پلاٹ زاہد کو 20% کے نقصان پر فروخت کرتا ہے۔ پلاٹ کی قیمت زاہد ہے؟
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- 8670
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