Salim invests ₹2,40,000 in a shop but takes no part in running it. Priyanka invests ₹1,60,000 and manages the shop, for which she is paid ₹5,000 a month out of the profit. The rest of the profit is shared in the ratio of capitals. The year's profit is ₹1,50,000. How much does Priyanka receive in all?

₹36,000Correct answerYour answer₹60,000Correct answerYour answer₹63,000Correct answerYour answer₹96,000Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Priyanka's salary for the year = 12 × ₹5,000 = ₹60,000. Profit left = ₹90,000.
Capital ratio = $2{,}40{,}000 : 1{,}60{,}000 = 3 : 2$ , so her share = ₹90,000 × $2/5$ = ₹36,000.
Priyanka's total = ₹60,000 + ₹36,000 = ₹96,000.

Worth noting

₹63,000 counts the salary for only one month; ₹36,000 forgets the salary altogether.

Ten questions from Ratio & Proportion, at your own pace.

Explanation